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quantumcomputing/22108_c2c01ebb412339b8_211.txt | Quantum Mechanics with Qubelets Quantum computing is rooted in and matured under the umbrella of quantum mechanics: the one can’t be divorced from the other. The quantum concepts that drive quantum computers, such as collapsing qubits, canceling qubelets, and splitting and inverting them, are derived from the laws of q... |
quantumcomputing/13334_db9c0f2f4b6f960d_2501.txt | This paper establishes an algorithm for the conversion of conformal geometric algebra (GA) [3, 4] versor symbols of space group symmetry-operations [6–8, 10] to standard symmetry-operation symbols of crystallography [5]. The algorithm is written in the mathematical language of geometric algebra [2–4], but it takes up b... |
quantumcomputing/1226_4503ad1eb65e514b_231.txt | *3.19.3.3 M*\(^3\) *M*\(^3\) is a muon beam missing momentum experiment which expects measures \(\mathcal {O}\)(15 GeV) muons on a thin active target. The secondary muon beam is produced from the 120 GeV Main Injector proton beam at the Fermilab accelerator complex. As a muon beam experiment, M\(^3\) is uniquely sensit... |
quantumcomputing/1226_889bcb3d28cecf3a_238.txt | Units of superconducting circuitry that exploit the concept of the single- Cooper-pair box (SCB) have been built and are undergoing testing as prototypes of logic gates that could, in principle, constitute building blocks of clocked quantum computers. These units utilize quantized charge states as the quantum informati... |
quantumcomputing/34793_e272bdff51b1eb10_630.txt | In-Context Learning (ICL) has significantly expanded the general-purpose nature of large language models, allowing them to adapt to novel tasks using merely the inputted context. This has motivated a series of papers that analyze tractable synthetic domains and postulate precise mechanisms that may underlie ICL. Howeve... |
quantumcomputing/2a3d2d5b_114894.txt | Figure 1: A Narrow Gorge Parameter Landscape. Since the cost values are exponentially concentrated about the mean value on average, the parameter landscape derivative concentrates about this value leaving the majority of the landscape flat as defined by Eq. 18 Arrasmith et al. |
quantumcomputing/3773_cdd61dafb85483f2_108.txt | When we enter the website of a bank, for example, the communication between us and the bank is encrypted. What is the sophisticated Enigma-like machine that prevents outsiders from hacking into our bank account? Prime numbers. Yes, most of the sensitive communication on the internet is encrypted by a protocol called RS... |
quantumcomputing/6780f0c6_118924.txt | If an objective collapse mechanism were verified, it would have huge implications, even for quantum technology. It would mean that there is a fundamental limit to how large a quantum superposition you can maintain. Build too large a quantum computer or put too many atoms in an entangled state, and nature might start co... |
quantumcomputing/11875_543aaf591dd6eb2d_378.txt | instinct and reduce/increase speeds according to their will, without paying heed to the rules. The system was subjected to different conditions. Efficiency at different conditions is calculated. The test is conducted for duration of 60 s to detect the eyes in opened state. The numbers of frames in which eyes are found ... |
quantumcomputing/18150_92440dc4f2998b42_26.txt | that the quantum competitor is worth investing in, but the future sometimes surprises us. Previously, we mentioned Ker‐ enidis and Prakash’s recommendation algorithm, which was exponentially faster than the best-known classical algorithm for the same problem. Only three years later, Ewin Tang found a classical algorith... |
quantumcomputing/3960_fb1484088e5afd52_94.txt | The very existence of a heated debate among restrictionists, cooperationists, and centrists is itself an argument for the careful incrementalism that centrists espouse.24 We are still in the early years of a radically new phase in U.S.-China relations, and we are only at the cusp of far-reaching global transformations ... |
quantumcomputing/22087_69ca229ec5299de3_1975.txt | The Swendsen-Wang dynamics is a popular algorithm for sampling from the Gibbs distribution for the ferromagnetic Ising and Potts models. The dynamics is a global Markov chain that is conjectured to converge quickly to equilibrium even at low temperatures, where the correlations in the system are strong and local chains... |
quantumcomputing/35883_a8a638dc956ff973_158.txt | Decision trees are sometimes applied along with other algorithms to analyze and demonstrate the key features of the intricate classification process. Recently, Heinen and coworkers studied two competing reactive processes mainly with a reactant-to-barrier (R2B) machine learning model,472 where the decision tree generat... |
quantumcomputing/3960_96169d905c875778_79.txt | I think it must be the gene pool here as a result of the British dumping their criminals and corrupt public officials here for generations, but that 10% seems to be missing lol. Your Founding Fathers called traitors for resisting the corruption of the Brits, our Founding Fathers (and those who have followed) called ‘pa... |
quantumcomputing/10115_80ceca0747858829_34.txt | In order to enable a drug to be ingested as a pill and bypass the acidity of the stomach, a protective layer must be created. One approach that is employed to create this coating is multi-layering. In this experiment, two naturally occurring polymers, hyaluronic acid (HA) and poly-l-lysine (PLL) were sequentially layer... |
quantumcomputing/8518_b973a5d791c69b9c_14.txt | Using a hybrid approach of clustering on a classical computer and then solving the subproblem of capacitated VRP using QAOA and VQE was tested in (Palackal et al., 2023). Despite the time expanded formulation, VQE achieved feasible solutions on small instances, QAOA consistently underperformed, and extensions such as c... |
quantumcomputing/26329_8294391802b65b74_3.txt | ")], the authors explored the innovative intersection of quantum computing with telecommunications to enhance 5G and IoT capabilities, specifically within healthcare. By integrating quantum computing principles with OFDM signal processing, this study presented a theoretical and practical framework that promises signifi... |
quantumcomputing/3960_0678c516274774e4_642.txt | Accordingly, the universe as a whole must be treated as a static domain whose self and contents cannot “expand”, but only seem to expand because they are undergoing internal rescaling as a function of SCSPL grammar. The universe is not actually expanding in any absolute, externally-measurable sense; rather, its content... |
quantumcomputing/22087_69ca229ec5299de3_581.txt | Although fungi are the most diverse eukaryotic organisms, we have only a very fragmentary understanding of their success in so many niches or of the processes by which new species emerge and disperse. I will discuss how we are using math modeling and perspectives from physics and fluid mechanics to understand fungal li... |
quantumcomputing/8337_01340d24a5dea1fa_371.txt | * Presenter: Burkhard Militzer, University of California, Berkeley * Host: Shijie Zhong * Abstract: The Kepler satellite has detected over 3400 extrasolar planet candidates. Many of them are gas and ice giants, and some are even larger than Jupiter. This talk introduces ab initio simulations and discusses the state of ... |
quantumcomputing/22087_db9c0f2f4b6f960d_1487.txt | There has been an old and false claims in the scientific community related to negative mass. This paper describes the vacuum instability problem, runaway motion problem, and wheel problem with negative mass and positive mass. Negative mass is an object whose existence is required by the law of the conservation of energ... |
quantumcomputing/13334_db9c0f2f4b6f960d_2295.txt | Monte Carlo (MC) methods are well-known computational techniques, widely used in different fields such as signal processing, communications and machine learning. An important class of MC methods is composed of importance sampling (IS) and its adaptive extensions, such as population Monte Carlo (PMC) and adaptive multip... |
quantumcomputing/10115_0c61a420afbdc87d_24.txt | The interface for the protocols is determined by the class QUT. This is a base abstract class for all the protocols. An abstract class in object-oriented programming serves as a blueprint for other classes, defining a general concept or functionality that can be extended but cannot be directly instantiated. It is a tem... |
quantumcomputing/9339_98bc330e6ca89479_283.txt | Heuristic methods are available to improve upon this basic idea. Of course, exhaustive search methods such as this only work as long as all possible paths can be generated efficiently, and thus the number of molecules used must grow exponentially as the size of the problem (the number of vertices in the example above).... |
quantumcomputing/27984_723fd0fbfe5d7a11_137.txt | While the ZX and ZW calculi have been effective as graphical reasoning tools for finite-dimensional quantum computation, the possibilities for continuous-variable quantum computation (CVQC) in infinite-dimensional Hilbert space are only beginning to be explored. In this work, we formulate a graphical language for CVQC.... |
quantumcomputing/22108_db9c0f2f4b6f960d_2948.txt | Polyvector-valued gauge field theories in noncommutative Clifford spaces are presented. The noncommutative binary star products are associative and require the use of the Baker-Campbell-Hausdorff formula. An important relationship among the n-ary commutators of noncommuting spacetime coordinates [X1,X2, ......,Xn] and ... |
quantumcomputing/2565_ff7da9bf12314062_165.txt | 5.5.2.2 Quantum OR Gate The OR gate outputs a 1 when either of the inputs is in state 1. We can construct an OR gate using the logic outlined in Listing 5.23. To construct a generic OR gate, we need to test the inputs. We can implement “if” statements on the classical registers. The Circuit Composer, at this time of wr... |
quantumcomputing/22108_808db5389f8f8e1e_174.txt | In the last term, we again used our curly bracket notation. Let’s take a look at Eq. (11.30). Note that we have labeled the superposition states by the n-bit x values, which run from 00 . . . 0 to 11 . . . 1—all the possible n-bit values. This is another example of using numerical values to label states—something that... |
quantumcomputing/7b473a44_0771.txt | A single qubit system, can be in only two possible states. Thus there are only \(2^{1}! = 2\) permutation matrices acting on such states, namely the identity P 0 =I= [ 1 0 0 1 ] and P 1 = [ 0 1 1 0 ] also known as a NOT gate. The computational basis of such 1-qubit system is \(B_{c} = \{|0\rangle , |1\rangle \}\), wher... |
quantumcomputing/9769_b393da4e2e72ed8a_144.txt | The QFT matrix In the section entitled The connection between complex numbers and circles, we drew a circle in the plane of complex numbers and marked the circle at equal intervals. In Figure 9.8, we had four equal intervals. In Figure 9.9, we had eight equal intervals. In the same way, we can have 100 intervals, 10000... |
quantumcomputing/8729_23e9aeec4fe3bb40_244.txt | symboly namapovaný na tvary měnící formu ale často jen tvary s hodně abstraktní sémantikou (smyslem) nebo geometický mindmapy měnící se metahypergrafy s nějakým tvarem? (grafy grafů s hranami co obsahují livobolný počet vrcholů) interní monolog mám hodně geometrický a mám ho hodně když chci dokážu přepnout na mluvící m... |
quantumcomputing/4625_578753610752009e_168.txt | Because the time evolution operator Uc is unitary, it preserves the inner products of states. In terms of magnitudes, # = | | | = |ψ |φ | . (7.11) On the other hand, consider the inner product of the cloned final states and of Eq. 7.6: # # = |ψ |φ |2 Mψ Mφ < |ψ |φ | . (7.12) # ... |
quantumcomputing/22108_db9c0f2f4b6f960d_154.txt | This article proposes the modified KNN (K Nearest Neighbor) algorithm which receives a graph as its input data and is applied tothe keyword extraction. The graph is more graphical for representing a word and the keyword extraction is able to be mapped into thebinary classification where each word is classified into key... |
quantumcomputing/3ab1b05f_1049.txt | Lopez-Bezanilla, A., Raymond, J., Boothby, K. et al. Kagome qubit ice. Nat Commun 14, 1105 (2023). https://doi.org/10.1038/s41467-023-36760-1 Topological phases of spin liquids with constrained disorder can host a kinetics of fractionalized excitations. However, spin-liquid phases with distinct kinetic regimes have pro... |
quantumcomputing/22108_c2c01ebb412339b8_147.txt | Grover’s Algorithm Giving developers a way to simultaneously hold all solutions to a problem is like taking kids to a candy store but then having them first figure out the combination of the lock to the store before they can eat all the sweets they want. Likewise, quantum computers exploit the natural ability of subato... |
quantumcomputing/6245_808db5389f8f8e1e_242.txt | Thus, we need to do only three multiplications (instead of 11) because whenever there is a 0 in the exponent, we may skip that multiplication since it is equivalent to multiplying by 1. This process is called binary exponentiation because we are using powers of 2. There are efficient implementations of this method in c... |
quantumcomputing/2565_ff7da9bf12314062_153.txt | When we measure this system, we get x, with a probability jaxj2 ¼ 1. Let us study this in detail with a two-qubit example. Recollect the tensor math, we learned in Chap. 2. We use the tensor product to represent the collective state of two or more qubits. Assume that we have two qubits jψ 1i ¼ a1j0i + b1j1i and jψ 2i ¼... |
quantumcomputing/24212_b745cf4a986576b6_429.txt | Higgs boson production in association with a vector boson provides direct access to the Higgs boson's couplings to vector bosons given knowledge of the other branching fractions of the Higgs. The values of these couplings are predicted by measurements of the electroweak coupling strengths and the vacuum expectation val... |
quantumcomputing/8518_684161dc888e2e73_31.txt | A generalisation of Deutsch’s problem, called the Deutsch-Jozsa problem (Deutsch & Jozsa 1992), enlarges the class of functions under consideration so as to include all of the functions \(f:\{0,1\}^n\to\{0,1\}\), i.e., rather than only considering \(n = 1\). The best deterministic classical algorithm for determining wh... |
quantumcomputing/e684d52a_0471.txt | Anyone you share the following link with will be able to read this content: Sorry, a shareable link is not currently available for this article. Provided by the Springer Nature SharedIt content-sharing initiative |
quantumcomputing/1226_889bcb3d28cecf3a_317.txt | In general, the classical limit is assumed in computer simulation calculations of free energy. This approximation, however, is not justifiable for a class of systems in which quantum contributions for the free energy cannot be neglected. The inclusion of quantum effects is important for the determination of reliable ph... |
quantumcomputing/11875_543aaf591dd6eb2d_121.txt | front-cooled panel had a lower surface temperature, it produced more power than the reference panel. 308.67 W and 274.54 W are the average power outputs of a PV panel with cooling and a reference panel, respectively. The efficiency of solar panels with cooling is always better than that of solar panels without cooling,... |
quantumcomputing/4628_98bc330e6ca89479_367.txt | described in Section 6.1. In Section 6.2 we derive the algorithm from another point of view, based on the quantum simulation algorithm of Section 4.7. Three important appli¬ cations of this algorithm are also described: quantum counting in Section 6.3, speedup of solution of NP-complete problems in Section 6.4, and sea... |
quantumcomputing/967fe8a1_2499.txt | class qibo.gates.Unitary(unitary, *q, trainable=True, name: str = None, check_unitary: bool = True)[source]# Arbitrary unitary gate. Parameters: unitary – Unitary matrix as a tensor supported by the backend. *q (int) – Qubit id numbers that the gate acts on. trainable (bool) – whether gate parameters can be updated usi... |
quantumcomputing/27984_723fd0fbfe5d7a11_188.txt | ``` @misc{Shaikh2024Video, author = {Shaikh, Razin}, title = {{ZXLive - An Interactive GUI for the ZX Calculus}}, year = {2024}, howpublished = {ZX seminar}, urldate = {2024-01-09}, url = {https://www.youtube.com/watch?v=J--c2q-KOc8}, keywords = {ZX-calculus, Automation, PyZX}, abstract = {ZXLive is a user-friendly, in... |
quantumcomputing/361dc1ba_14231.txt | Panel: „Challenges of the SLM ecosystem“ Organizer: Hans-Joachim Wunderlich Silicon lifecycle management covers a broad variety of aspects and goals which may complement each other but which can also be in conflict. Examples are runtime test and diagnosis versus security, data collection in the cloud versus privacy, BI... |
quantumcomputing/14816_e6eb321e4e9c903b_141.txt | where qt and pt are vectors (in three dimensions) representing the system’s position and momentum, respectively, at t. Further, we can infer from the state of a system at t, and the classical-mechanical laws of motion, exactly what the state of the system will be in the next moment and at every other time both in the s... |
quantumcomputing/15280_ca3752daa9705eee_22.txt | Unary Operators Let us now cover the set of one-qubit, or unary, quantum operators. The first three operators we will examine are the Pauli matrices. These three matrices along with the identity matrix and all of their ˙1 and ˙i multiples constitute what is known as the Pauli group. First, we have X , which is the NOT ... |
quantumcomputing/9339_622391702acffd65_217.txt | 24.1 The RAM cell Memory is one of the critical parts of any computerized framework. It is also of value to construct a fast and greatly upgraded QCA RAM. Generally, there are two types of RAM cell designs in QCA, which are categorized as loop-based and line-based according to the operational manner of the QCA circuits... |
quantumcomputing/22087_d3b3bff6b46e90f8_443.txt | [72] Larson SJ, Capel PD, et al. Pesticides in surface waters: distribution, trends, and governing factors (No. 3). CRC Press; 2010. [73] Scholz NL, Fleishman E, et al. Perspective on modern pesticides, pelagic fish declines, and unknown ecological resilience in highly managed ecosystems. Bioscience 2012:428e34. [74] Ko... |
quantumcomputing/f423589b_0915.txt | Randomized benchmarking (RB) is a powerful method for determining the error rate of experimental quantum gates . As a resource-efficient alternative method to quantum process tomography, RB also provides an estimate for the average fidelity that is independent of state preparation and measurement (SPAM) errors. RB char... |
quantumcomputing/6186_051f5052068d761f_70.txt | The invariant mass of particle resonances is a key analysis variable for LHC physics. For analyses with di-tau final states, the direct calculation of the invariant mass is impossible because tau decays always include neutrinos, which escape detection in LHC detectors. The Missing Mass Calculator (MMC) is an algorithm ... |
quantumcomputing/34793_f912c25a514b0ce2_24.txt | Words are just a powerful as mathematics and you have used words alone to bring understanding to a lot of things, thank you so much for that. Maybe I focused too much on the title of your book, but that is the philosophy I have been following.... yes, math is needed, but do not get lost in it because there is so much t... |
quantumcomputing/2299_80e93bc231283789_16.txt | In 2021 [45] it has been shown that quantum computers can factor the number 15. This is possible by a quantum circuit using 6 qubits and around 17 gates, including CNOT, CPHASE and Toffoli gates. Since this implementation was performed on an NMR quantum computer, a runner-up to this work has been presented in [23] for ... |
quantumcomputing/9339_a38937c5090409ef_68.txt | will be |+ or |− with probability 1/2 each. So far, this is all basic quantum mechanics. But if Bob had access to a device that could distinguish the four states |0, |1, |+, |− from one another, then he could tell whether Alice had measured in the computational basis, or in the |+, |− basis. Moreover, he could ... |
quantumcomputing/38735_fabe5077e891c005_41.txt | One might worry whether the TKNN integer defined in (1.36) is specific to noninteracting electrons in perfect crystals. An elegant way to generalize the definition physically, while keeping the same mathematical structure, was developed by Niu, Thouless, and Wu [31]. This definition also makes somewhat clearer, together wi... |
quantumcomputing/b5d48aa4_115020.txt | where we can re-write the quantum state in its Schmidt decomposition with ψAi ψAm δi m langle psi_ A i rvert lvert psi_ A m rangle delta_ im italic_ψ start_POSTSUBSCRIPT italic_A end_POSTSUBSCRIPT start_POSTSUPERSCRIPT italic_i end_POSTSUPERSCRIPT italic_ψ start_POSTSUBSCRIPT italic_A end_POSTSUBSCRIPT ... |
quantumcomputing/13334_db9c0f2f4b6f960d_2919.txt | Determination to make the Einstein's treatment of simultaneity and relativistic notions of length and time interval measurement more intuitive and illustrative led to creation of a model in which light impulses are substituted with sound signals. The model uncovers the substance of Einstein's mathematical constructs an... |
quantumcomputing/8e88ae58_7339.txt | Classical computational gates are Boolean logic gates that manipulate information stored in bits. In quantum computing such gates are represented by matrices, and can be visualised as rotations over the Bloch sphere. This visualisation represents the fact that quantum gates are unitary operators, i.e., they preserve th... |
quantumcomputing/22087_d3b3bff6b46e90f8_10.txt | Dr. Kisan M. Kodam is a Professor of Biochemistry at the Department of Chemistry, Savitribai Phule Pune University, Pune, India. Dr. Kodam’s research interests are focused on environmental biotechnology. In particular, his research team is working on biodegradation of organic pollutants, arsenic, and metal bioremediati... |
quantumcomputing/14816_baea7bc0d09df8ad_322.txt | To Richard Swinburne, the idea of afterlife existence germinating from a renewed instantiation of the pattern of information that we had when living on Earth is problematic. “The trouble is not merely how could God, if God so chose, bring into renewed] existence a being with a specific pattern of information, but rathe... |
quantumcomputing/2270_d248c03bea5f280d_7.txt | | * v * t * e Quantum information science | | | --- | --- | | General | * DiVincenzo's criteria * NISQ era * Quantum computing + timeline * Quantum information * Quantum programming * Quantum simulation * Qubit + physical vs. logical * Quantum processors + cloud-based | | Theorems | * Bell's * Eastin–Knill * Gle... |
quantumcomputing/13334_db9c0f2f4b6f960d_2890.txt | The generalized Maxwell equations in vacuum are basically the same with Dirac's extended Maxwell equations, although intrinsic charges and currents are defined by the time differential and gradation of scalar fields, respectively. Consequently, the electromagnetic stress-energy tensors make important conservation laws.... |
quantumcomputing/34011_a5801def072ec91c_1751.txt | In keeping with his critical attitude towards (religious) authorities, Toland claims that the Holy Trinity and other mysteries are an invention of “priest-craft” (CNM, 100) and nothing but a tool for submission. This point ties into his overall emancipatory aim of arguing for the right of everyone to use their reason i... |
quantumcomputing/22087_db9c0f2f4b6f960d_2979.txt | We construct the Clifford-space tensorial-gauge fields generalizations of Yang-Mills theories and the Standard Model that allows to predict the existence of new particles (bosons, fermions) and tensor-gauge fields of higher-spins in the 10 Tev regime. We proceed with a detailed discussion of the unique D4 - D5 - E6 - E... |
quantumcomputing/22087_db9c0f2f4b6f960d_2433.txt | In this work, a liquid model of the Sun is presented wherein the entire solar mass is viewed as a high density/high energy plasma. This model challenges our current understanding of the densities associated with the internal layers of the Sun, advocating a relatively constant density, almost independent of radial posit... |
quantumcomputing/175_40094682244c3a83_2171.txt | This paper provides a unified view to explain different adversarial attacks and defense methods, i.e. the view of multi-order interactions between input variables of DNNs. Based on the multi-order interaction, we discover that adversarial attacks mainly affect high-order interactions to fool the DNN. Furthermore, we fi... |
quantumcomputing/32894_c65187f488c01dde_1303.txt | Despite the huge success of object detection, the training process still requires an immense amount of labeled data. Although various active learning solutions for object detection have been proposed, most existing works do not take advantage of epistemic uncertainty, which is an important metric for capturing the usef... |
quantumcomputing/16785_f5b0288e0ea8c1ae_121.txt | Ticking qubit handshake. Assume Alice and Bob each have a clock that ticks at the same rate, but the phase difference between them is unknown. The core routine in Chuang’s algorithm is the six-step ticking qubit handshake, TQH(ω, |ψ ), where ω is the oscillation frequency of the qubit |ψ . Alice and Bob cooperate, with... |
quantumcomputing/fb3c4f1a_118249.txt | In looking for a quantum mechanical realization of the information-optimizing scenario we imagined in Section 2 and Section 3, let us begin by assuming Alice is sending Bob a beam of d-dimensional particles, each prepared in the same pure state ψ A . Bob performs on these particles a complete orthogonal measurement... |
quantumcomputing/175_40094682244c3a83_1188.txt | Various non-trivial spaces are becoming popular for embedding structured data such as graphs, texts, or images. Following spherical and hyperbolic spaces, more general product spaces have been proposed. However, searching for the best configuration of a product space is a resource-intensive procedure, which reduces the... |
quantumcomputing/b39dcc0c_14998.txt | An amalgamation of several different layout techniques. At optimization level 0, the trivial layout is chosen. At optimization levels above 0, there is a two-step process: First, use VF2Layout to attempt to find a “perfect” layout. The maximum number of calls to the isomorphism evaluator increases with the optimization... |
quantumcomputing/22087_69ca229ec5299de3_901.txt | We discuss the Maker-Breaker component game, played on the edge set of a sparse random graph. Given a graph G and positive integers s and b, the s-component (1:b) game is defined as follows. In every round Maker claims one free edge of G and Breaker claims b free edges. Maker wins this game if her graph contains a conn... |
quantumcomputing/21985_96cf17561d26f9f6_23.txt | 2.1.2 Formulation of Quantum Mechanics The new formulation must describe the superposition and vector nature of quantum states and therefore we have to employ vectors spaces. However, ordinary finitedimensional vectors are not enough to describe general systems in quantum mechanics, and even though we will only conside... |
quantumcomputing/17677_fa9c8888c8baf15e_12.txt | Instead, Gil—if we’re talking not about “steelmanning” his beliefs, but about what he himself actually said—has taken the position that the Google experiment must’ve been done wrong and will need to be retracted. He’s offered varying grounds for this. First he said that Google never computed the full histogram of proba... |
quantumcomputing/eaae7915_4383.txt | The identity gate is the identity matrix, usually written as I, and is defined for a single qubit as I = [ 1 0 0 1 ] , {\displaystyle I={\begin{bmatrix}1&0\\0&1\end{bmatrix}},} where I is basis independent and does not modify the quantum state. The identity gate is most useful when describing mathematically the result ... |
quantumcomputing/582e2095_11148.txt | Paler, A., Devitt, S., Nemoto, K. et al. Mapping of Topological Quantum Circuits to Physical Hardware. Sci Rep 4, 4657 (2014). https://doi.org/10.1038/srep04657 Download citation Received: 26 September 2013 Accepted: 18 March 2014 Published: 11 April 2014 DOI: https://doi.org/10.1038/srep04657 |
quantumcomputing/2d0f299c_117686.txt | When multiplied out, this yields a matrix that swaps the 01 displaystyle 01 rangle and 11 displaystyle 11 rangle terms over, while leaving the 00 displaystyle 00 rangle and 10 displaystyle 10 rangle terms alone. This is equivalent to a CNOT gate where qubit 2 is the control qubit and... |
quantumcomputing/24212_723fd0fbfe5d7a11_185.txt | Experimental setups based on linear optical circuits and single photon sources offer a promising platform for near-term quantum machine learning. However, current applications are all based on support vector machines and gradient-free optimization methods. Differentiating an optical circuit over a phase parameter poses... |
quantumcomputing/16776_e26caa74eb27f4da_377.txt | Distributionally robust optimization has emerged as an attractive way to train robust machine learning models, capturing data uncertainty and distribution shifts. Recent statistical analyses have proved that generalization guarantees of robust models based on the Wasserstein distance have generalization guarantees that... |
quantumcomputing/b3143a4d_124096.txt | For a Clifford operation on n𝑛nitalic_n qubits, for each of the 4nsuperscript4𝑛4 n 4 start_POSTSUPERSCRIPT italic_n end_POSTSUPERSCRIPT Pauli operators Pisubscript𝑃𝑖P_ i italic_P start_POSTSUBSCRIPT italic_i end_POSTSUBSCRIPT there is exactly one Pjsubscript𝑃𝑗P_ j italic_P start_POSTSUBSCRIPT italic_j end_POSTSU... |
quantumcomputing/22087_69ca229ec5299de3_2572.txt | We consider the task of estimating a rank-one matrix from noisy observations. Models that fall in this framework include community detection and spiked Wigner models. In this talk, I will discuss pseudo-maximum likelihood theory for such inference problems. We provide a variational formula for the asymptotic maximum ps... |
quantumcomputing/22087_db9c0f2f4b6f960d_99.txt | This paper presents a novel approach to quantum gravity, extending Perelman’s Ricci flow techniques to Lorentzian manifolds and developing a unified geometric framework that bridges concepts from differential geometry, topology, and quantum field theory. This offers fresh perspectives on fundamental problems in theoret... |
quantumcomputing/10115_80ceca0747858829_30.txt | Every year, over 100 billion trees in the US lose their leaves during the fall season, resulting in about 20 trillion leaves left as yard waste. While cleanup efforts have been made by local officials , there is still an abundance of leaves unaccounted for on the streets, sidewalks, parks, etc. Due to this, billions of... |
quantumcomputing/0ceecb94_12460.txt | With the maturing of AI and multiagent systems research, we have a tremendous opportunity to direct these advances towards addressing complex societal problems. I will focus on domains of public health and conservation, and address one key cross-cutting challenge: how to effectively deploy our limited intervention reso... |
quantumcomputing/94c6db5d_119737.txt | Before diving into the CNOT gate, let s briefly review a few quantum computing basics: qubits, superposition, and entanglement. A qubit (quantum bit) is the quantum analogue of a classical bit. While a classical bit is either 0 or 1, a qubit can exist in a superposition of 0 and 1 essentially being in both states at ... |
quantumcomputing/16776_0d5ba2eb70a7c577_86.txt | Abstract: Solving high-dimensional PDEs on unknown manifolds is a challenging computational problem that commands a wide variety of applications. In this talk, I will introduce a mesh-free computational framework and machine learning theory for solving elliptic PDEs on unknown manifolds, identified with point clouds, b... |
quantumcomputing/8652_906acd2ff9117deb_55.txt | Some particular design patterns have also been proposed by Frank Leymann (Leymann, 2019) and Buhler (Bühler et al., 2023), which mainly focused on the design of quantum circuits. In the study (Pérez-Castillo et al., 2024a), authors perform a preliminary exploration of the usage in the practice of some of those design p... |
quantumcomputing/34436d69_5649.txt | A lot of coverage of the applications of quantum computers talk about the huge gains in processing power over classical computers. Many statements have been made about being able to effortlessly solve hard problems instantaneously but it’s not clear if all the promises will hold up. Rather than being able to solve all ... |
quantumcomputing/79a36720_115013.txt | Deterministic Concentration If the trivial value of the cost function in Eq. 3 is 12n T r O 1superscript2𝑛𝑇𝑟delimited- 𝑂 frac 1 2 n Tr O divide start_ARG 1 end_ARG start_ARG 2 start_POSTSUPERSCRIPT italic_n end_POSTSUPERSCRIPT end_ARG italic_T italic_r italic_O such as the max or min of a cost function, th... |
quantumcomputing/34011_a5801def072ec91c_704.txt | Al-Ghazālī, however, received much criticism for his best-of-all-possible world thesis by later theologians. Broadly construed, three primary and interrelated criticisms were raised (Ormsby 1984; cf. Ogden 2016). The first criticism is that, in terms of possibility, the actual world is not the best of all possible wo... |
quantumcomputing/175_40094682244c3a83_640.txt | This work considers the problem of selective-sampling for best-arm identification. Given a set of potential options $\mathcal{Z}\subset\mathbb{R}^d$, a learner aims to compute with probability greater than $1-\delta$, $\arg\max\_{z\in \mathcal{Z}} z^{\top}\theta\_{\ast}$ where $\theta\_{\ast}$ is unknown. At each time ... |
quantumcomputing/17418_c2c01ebb412339b8_67.txt | Hint: Consider the quantum operations such as switching and inverting qubelets listed in Basic Operations, on page 78. (In Quantum Circuit Synthesis, or Guess the Gate, on page 246, you’ll learn to design the quantum circuit that implements the quantum operations taking the quantum state on the left qubit to the one on... |
quantumcomputing/2c233dab_3736.txt | This file contains Supplementary Information, including Supplementary Figs. 1–15 and additional references. |
quantumcomputing/2276_16a55bc42dde3474_18.txt | Steven #84: It’s complicated. Keeping the training data fixed, you can vary (among many other things) the depth of your neural net, the width, and the number of steps of gradient descent. Alas, we don’t really know theoretically how *any* of this stuff affects the real-world performance: almost everything we know is em... |
quantumcomputing/25925_723fd0fbfe5d7a11_106.txt | The ZX calculus is a graphical language for representing and rewriting quantum circuits. While its graphical rewrite rules preserve semantics, they may not preserve other features. For example, applying rewrites to a circuit that implements an error-correcting code can change its distance. Here, we define the notion of... |
quantumcomputing/13334_db9c0f2f4b6f960d_1607.txt | After applying the recently proposed Bohm-Poisson equation [1] to the observable Universe as a $whole$, and by introducing an ultraviolet (very to the Planck scale) and an infrared (Hubble radius) scale, one can naturally obtain a value for the vacuum energy density which coincides $exactly$ with the extremely small o... |
quantumcomputing/05b9fb39_126269.txt | Furthermore, ADAC exhibits an improvement of around 18 on pseudo-realistic circuits implemented on grid-like architectures with larger qubit numbers, where the pseudo-realistic circuits are constructed based on the characteristics of widely existing realistic circuits, aiming to investigate the applicability of ADAC. |
quantumcomputing/c01ffc76_126832.txt | This is probably the most challenging part of the assembly but if you watch the video below and follow Schmartboard's instructions, you will be amazed how easy it is. Apply liquid solder to the pads on the Schmartboard and then position the Atmega as shown. The pads are actually small troughs and the chip will 'lock' i... |
quantumcomputing/f99f3e7c_122990.txt | Melody Lee, Zhixin Song, Sriharsha Kocherla, Austin Adams, Alexander Alexeev, and Spencer H. Bryngelson, A multiple-circuit approach to quantum resource reduction with application to the quantum lattice Boltzmann method , Future Generation Computer Systems 174, 107975 (2026). |
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