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quantumcomputing/8337_01340d24a5dea1fa_179.txt | * Presenter: Alan Jamison, Massachusetts Institute of Technology * NOTE SPECIAL LOCATION: JILA Auditorium * Host: Konrad Lehnert * Abstract: Cooling atomic gases to quantum degeneracy opened the new field of quantum simulation. Here the precise tools of atomic physics can be used to study exotic models from condensed m... |
quantumcomputing/20712_178754fff311c8b6_96.txt | I used to play poker, when I was young, with a guy who made a substantial living doing nothing but betting on harness races. Now, harness racing is a relatively inefficient market. You don’t have the depth of intelligence betting on harness races that you do on regular races. What my poker pal would do was to think abo... |
quantumcomputing/ef141379_121388.txt | The action of the Hadamard gate is H x j ( 1 2 ) ( 0 e 2 π i x j 2 1 1 ) displaystyle H x_ j rangle left( frac 1 sqrt 2 right) left( 0 rangle e 2 pi ix_ j 2 -1 1 rangle right) , where the sign depends on x j displaystyle x_ j . |
quantumcomputing/9bc37023_120582.txt | The conventional definition of the spin quantum number is s n 2 , where n can be any non-negative integer . Hence the allowed values of s are 0, 1 2 , 1, 3 2 , 2, etc. The value of s for an elementary particle depends only on the type of particle and cannot be altered in any known way (in contrast to the spin d... |
quantumcomputing/21985_b745cf4a986576b6_202.txt | The Large Hadron Collider (LHC) at CERN, is the largest and most powerful particle collider in the world, and the only machine capable of producing Higgs bosons. Interactions with the Higgs field gives particles mass, and a particle’s coupling with the Higgs boson is proportional to its mass. The Standard Model particl... |
quantumcomputing/3960_98c38b4b94bcbcbd_135.txt | + *1. ‘Thermally decoupled liners’ are liners that feature at least a support structure designed to carry mechanical loads and a combustion facing structure designed to protect the support structure from the heat of combustion. The combustion facing structure and support structure have independent thermal displacement ... |
quantumcomputing/4d7e3d2f_117436.txt | power(exponent, annotated False)GitHubRaise this gate to the power of exponent.Implemented either as a unitary gate (ref. UnitaryGate) or as an annotated operation (ref. AnnotatedOperation). In the case of several standard gates, such as RXGate, when the power of a gate can be expressed in terms of another standard gat... |
quantumcomputing/22087_69ca229ec5299de3_2675.txt | Suppose that particles are randomly distributed in $R^d$, and they are subject to identical stochastic motion independently of each other. The Smoluchowski process describes fluctuations of the number of particles in an observation region over time. The goal is to infer on particle displacement process from such count ... |
quantumcomputing/22087_d3b3bff6b46e90f8_341.txt | 41. Imaizumi A, Suzuki Y, Ono S, Sato H, Sato Y. Heptakis (2,6-Dimethyl), beta cyclodextrin: a novel growth stimulant for Bordetella pertussis phase I. J Clin Microbiol 1983;17:781e6. No. 5. 42. Jicsinszky L, Martina K, Cravotto G. Cyclodextrins in the antiviral therapy. J Drug Deliv Sci Technol 2021;64:102589. 43. Bra... |
quantumcomputing/20712_f21f706356b21da2_345.txt | Motion forecasting for agents in autonomous driving is highly challenging due to the numerous possibilities for each agent's next action and their complex interactions in space and time. In real applications, motion forecasting takes place repeatedly and continuously as the self-driving car moves. However, existing for... |
quantumcomputing/22959e86_14099.txt | The new qml.liealg module provides a variety of Lie algebra functionality: Compute the dynamical Lie algebra from a set of generators with qml.lie_closure. This function accepts and outputs matrices when matrix=True. import pennylane as qml from pennylane import X, Y, Z, I n = 2 gens = [qml.X(0), qml.X(0) @ qml.X(1), q... |
quantumcomputing/35ce515e_11672.txt | Wires can now be dynamically allocated and deallocated in quantum functions with the allocate() and deallocate() functions. These features unlock many important applications that rely on smart and efficient handling of wires, such as decompositions of gates that require auxiliary wires and logical patterns in subroutin... |
quantumcomputing/32894_c65187f488c01dde_1154.txt | Understanding self-supervised learning is important but challenging. Previous theoretical works study the role of pretraining losses, and view neural networks as general black boxes. However, the recent work of [Saunshi et al.] argues that the model architecture --- a component largely ignored by previous works --- als... |
quantumcomputing/c9a85f13_123647.txt | By combining the results in Sec. 3.1 and 3.3, we constructed an algorithm that synthesizes controlled gates. Since the equation (AB) (B B B B ) (A B ) (A,B,A ,B SU (2)) begin pmatrix A B end pmatrix begin pmatrix BB prime dagger BB prime dagger end pmatrix begin pmatrix A prime B prime end ... |
quantumcomputing/28e2c44a_14992.txt | The function generate_preset_pass_manager() creates the “preset pass managers”. These are all instances of PassManager, so are used by passing a QuantumCircuit to the PassManager.run() method. More specifically, the preset pass managers are instances of StagedPassManager, which allows greater configuration of the indiv... |
quantumcomputing/14472_a8a638dc956ff973_32.txt | The authors prove that such a definition of a quantum kernel indeed satisfies Mercer's conditions118 of positive-semi definiteness. The authors then define a reproducing kernel Hilbert space (RKHS) which is a span of basis functions 2020}, urldate = {2019-03-13}, link = {https://arxiv.org/abs/1... |
quantumcomputing/34011_74845111e5423cd6_107.txt | Autonomous guidance is critical for future space missions, particularly for cislunar satellite rendezvous operations, where communication delays and complex dynamics present significant challenges. This paper introduces the Extended Linear Quadratic Regulator-informed optimal Rapidly-exploring Random Tree (ELQR-RRT\*) ... |
quantumcomputing/26329_e6eb321e4e9c903b_323.txt | Jones, W. (1794). On the philosophy of the Asiatics. Asiatic Researches, IV, 164. Jones, W. (1794). On the philosophy of the Asiatics. Asiatic Researches, IV, 164. Klein, F. (1872). Vergleichende Betrachtungen über neuere geometrische Forschungen, Programm zum Eintritt in die philosophische Fakultät und den Senat der F... |
quantumcomputing/32894_fc39bbe803b856a5_593.txt | Multiple-choice question (MCQ) benchmarks such as MMLU and GPQA are widely used to assess the capabilities of large language models (LLMs). While accuracy remains the standard evaluation metric, recent work has introduced uncertainty quantification (UQ) methods, such as entropy, conformal prediction, and verbalized con... |
quantumcomputing/22087_cfa6e6481b8cd2bd_482.txt | We introduce a variant of the Hegselmann-Krause model of consensus formation where information between agents propagates with a finite speed ${\mathfrak{c}}>0$. This leads to a system of ordinary differential equations (ODE) with state-dependent delay. Observing that the classical well-posedness theory for ODE systems ... |
quantumcomputing/24212_67200c89c635639a_142.txt | Considering conditions relevant to magnetic fusion plasmas, a code is being developed for solving in a kinetic framework the steady state solution of the plasma-wall boundary layer, comprising both the collisionless magnetic presheath and the Debye sheath. For a given electrostatic potential profile, discretized on a f... |
quantumcomputing/22087_dc81a22ac6ea9da6_62.txt | Many readers, but especially philosophers, might wonder why, in the case of the example taken up in the previous section, mechanism design should be necessary unless players are morbidly selfish sociopaths. Surely, the players might be able to just *see* that outcome (4, 5) is socially and morally superior; and since t... |
quantumcomputing/22087_f9c7df515afb09b7_156.txt | ``` David J. Anick Recent progress in Hilbert and Poincaré series . . . . . . . . . . . . . . . . . 1--25 Marc Aubry and Jean-Michel Lemaire Homotopies d'alg\`ebres de Lie et de leurs alg\`ebres enveloppantes. (French) [] . . . . . . . . . . . . . . . . . . . 26--30 Hans Joachim Baues Combinatorial homotopy . . .... |
quantumcomputing/16341_895a10efa5917d6e_55.txt | Unsupervised anomaly-based intrusion detection requires models that can generalize to attack patterns not observed during training. This work presents the first large-scale evaluation of hybrid quantum-classical (HQC) autoencoders for this task. We construct a unified experimental framework that iterates over key quant... |
quantumcomputing/13334_db9c0f2f4b6f960d_302.txt | A Specific Magnitude Budget for the Detection of 44 Nuclear Earthquakes near Large Urban Areas subject to a Natural Seismic Hazard was crucial for finding the typical parameters of the Nuclear Earthquakes : $5.9-7.9~M\_w$, from 1st January 1960 to 15th September 2023, $R\_i 79$ in the case of an absence of filtered ear... |
quantumcomputing/5fa67cb9_13262.txt | A bipartite state \(\rho ^{AB}\) is nonlocal iff for some settings \(\vec{a,a}', \vec{b,b}'\) it violates the inequality where \({\mathfrak{B}}_{\text{CHSH}}\) is given by Eq. (16). As in the case of separability and entanglement, the definition of nonlocality involves a quantification over a large set. Thus, relying o... |
quantumcomputing/21985_287971b0e2e2e18d_58.txt | ``` István Szalkai A new general algorithmic method in reaction syntheses using linear algebra 1--34 Shukla Basu and R. K. Roychoudhury The coherent state and anharmonic oscillator of nonlinear oscillation . . . . . . . . . . . . . . 35--41 J. H. Merkin and P. L. Simon and Z. Noszticzius Analysis of the electr... |
quantumcomputing/10115_34b0ba78ddd01800_212.txt | These are optical elements which deflect incoming vertically polarised light (whose electric field vector oscillates orthogonal to the plane of the figure) into the upward pointing arm, while they let horizontally polarised light (whose electric field vector oscillates in the plane of the figure) pass through into the ... |
quantumcomputing/22108_db9c0f2f4b6f960d_278.txt | One of the consequences of Fermat's last theorem is the existence of a countable infinite number of rational points on the unit circle, which allows in turn, to find the rational points on the unit sphere via the inverse stereographic projection of the homothecies of the rational points on the unit circle. We proceed t... |
quantumcomputing/4628_98bc330e6ca89479_360.txt | Even if more general cases of the hidden subgroup problem remain unsolvable by quantum computers, having this unifying framework is useful, because it allows us to ask questions about how one might be able to step outside its limitations. It is difficult to believe that all fast quantum algorithms that will ever be dis... |
quantumcomputing/14994_ebeb95a89c78f21f_155.txt | Birthday attacks are quite important in cryptography, and there is a mathematical puzzle that can help those readers not familiar with these attacks. It is called the birthday paradox (sometimes called the birthday problem). The issue is this: how many people would you need to have in a room to have a strong likelihood... |
quantumcomputing/2258_ba4096302e7b1742_612.txt | ``` @incollection{DuncanMBQC, author = {Duncan, Ross}, title = {A graphical approach to measurement-based quantum computing}, year = {2013}, booktitle = {Quantum Physics and Linguistics: A Compositional, Diagrammatic Discourse}, editor = {Chris Heunen, Mehrnoosh Sadrzadeh, and Edward Grefenstette}, isbn = {978019964629... |
quantumcomputing/3960_96169d905c875778_257.txt | I think it is comical that you noticed that it would bring about a mental health referral there, I am sure you could end up IVC’ed(involuntarily committed) here for doing it, rather easily. In fact when I was deep into the fast, I would sometimes worry if I might end up in the hospital for something going wrong(a typic... |
quantumcomputing/18150_747474a2b9a780fd_23.txt | Introducing Circle Notation We now have an idea of what superposition is, but one that’s quite tied up with the specific behavior of photons. Let’s find an abstract way to describe superposition that allows us to focus only on abstract information. The full-blown mathematics of quantum physics provides such an abstract... |
quantumcomputing/27984_38560fa2475fab4d_11.txt | Because the characteristics that define an option are stochastic, it is often difficult to determine its fair value; for this reason, option pricing often requires the use of numerical methods. Because of its adaptability and efficient handling of stochastic parameters, Monte Carlo simulation is one of the most popular... |
quantumcomputing/34011_a5801def072ec91c_507.txt | This introduces an inconsistency: if Sherlock Holmes is “as much a part of the World as is any of the short stories and novels in which he ‘occurs,’” then the dragon Smaug is as much a part of the World as is J.R.R. Tolkien’s novel *The* *Hobbit*. This inconsistency might plausibly result from a failure to adequately r... |
quantumcomputing/9339_a38937c5090409ef_566.txt | It is easy to verify that this state satisfies the identities X1 X2 |ψ = |ψ and Z1 Z2 |ψ = |ψ; we say that the state |ψ is stabilized by the operators X1 X2 and Z1 Z2 . A little less obviously, the state |ψ is the unique quantum state (up to a global phase) which is stabilized by these operators X1 X2 and Z1 Z2 . ... |
quantumcomputing/34011_91809ac52d6e6f56_3.txt | Fluctuations may induce the degradation of order by overcoming ordering interactions, consequently leading to an increase of entropy. This is particularly evident in magnetic systems characterized by nontrivial, constrained disorder, where thermal or quantum fluctuations can yield counterintuitive forms of ordering. Us... |
quantumcomputing/18accbfd_126589.txt | A pure quantum state can be represented by a ray) in a projective Hilbert space over the complex numbers , while mixed states are represented by density matrices , which are positive semidefinite operators that act on Hilbert spaces. 7 3 The Schrödinger-HJW theorem classifies the multitude of ways to write a gi... |
quantumcomputing/34011_a5801def072ec91c_859.txt | The black hole M87 is pictured above. It has a mass of about 6.5 billion of our suns, so it is too big for it to have originated from the collapse of only a single star. It probably has eaten many nearby stars and much cosmic dust. It is not in the Milky Way but in a distant galaxy 55 million light years from Earth. Th... |
quantumcomputing/1629_a8a638dc956ff973_9.txt | wherein  and  and the operators of the form |i〉〈j| ∀ (i,j) ∈ (... |
quantumcomputing/22108_db9c0f2f4b6f960d_2939.txt | This study applies the mathematical method of chronometric invariants, which are physically observable quantities in the four-dimensional space-time (Zelmanov A.L., Soviet Physics Doklady, 1956, vol.1, 227-230). The isotropic region of the space-time is considered (it is known as the isotropic space). This is the home ... |
quantumcomputing/32894_1a8f0330de3b41ea_479.txt | Complex tasks involving tool integration pose significant challenges for Large Language Models (LLMs), leading to the emergence of multi-agent workflows as a promising solution. Reflection has emerged as an effective strategy for correcting erroneous trajectories in agentic workflows. However, existing approaches only ... |
quantumcomputing/14994_cdd61dafb85483f2_14.txt | Classical computing is based in large part on modern mathematics and logic. We take modern digital computers and their ability to perform a multitude of different applications for granted. Our desktop PCs, laptops and smart phones can run spreadsheets, stream live video, allow us to chat with people on the other side o... |
quantumcomputing/10115_80ceca0747858829_137.txt | In this project, we investigate the electronic structure problem—an NP-hard problem in computational chemistry. The electronic structure problem involves determining the distribution and energy of electrons in a molecular system, which is essential for understanding atomic-level material behavior. This study has wide-r... |
quantumcomputing/18ddd5f8_119342.txt | vteQuantum information scienceGeneral 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 Gleason's Gottesman Knill Holevo's No-broadcasting No-cloning No-communication... |
quantumcomputing/14816_5f2deb247b7d4485_193.txt | set the stage for a landmark in the history of interferometric astronomy. A star in the constellation of Pegasus has the non-descript name of HR 8799. It is a 30 million-year-old main-sequence star about 130 light-years from Earth. Its claim to fame was the discovery in 2008, using adaptive optics, that three giant pla... |
quantumcomputing/59c55b84_118440.txt | Another advantage of quantum cryptography is its ability to detect eavesdropping. In classical cryptography, an eavesdropper can intercept the encrypted message and try to break the encryption. With quantum cryptography , any attempt to intercept the message will disturb the quantum state of the photons used to transmi... |
quantumcomputing/1629_3abeac199875c936_135.txt | (1.384) Here and henceforth, when no equivocation is possible, I shall drop the symbol ⊗ between the kets, condense the kets into a single one, or both. For instance, the following expressions | h 1 ⊗ | h 2 , | h 1 | h 2 , | h 1 ⊗ h 2 , | h 1 , h 2 , and | h 1 h 2 all represent the same direct product state. ... |
quantumcomputing/32894_c65187f488c01dde_145.txt | Recently, Transformer-based image restoration networks have achieved promising improvements over convolutional neural networks due to parameter-independent global interactions. To lower computational cost, existing works generally limit self-attention computation within non-overlapping windows. However, each group of t... |
quantumcomputing/93e70da1_126770.txt | Before delving into the intricate mathematical formalism behind the Bloch Sphere, we'll first build an intuitive understanding through this interactive simulator. This tool allows you to directly manipulate key parameters and observe their impact on a quantum state's representation. Specifically, you'll be able to adju... |
quantumcomputing/b0ed65fa_11427.txt | Joshua Zelinsky Says: Comment #1 December 17th, 2018 at 10:20 am So one take away is that if we want to make a scifi story that has FTL communication, one reasonable technobabble is to have people discover a class of particles who act with a quaternionic version of QM? I’m surprised this isn’t more well known (it certa... |
quantumcomputing/22087_9f61e8bdec50f13b_350.txt | Nuclear modification of charmonium in small systems is thought to be caused by a combination of initial-state effects in the charm quark production, such as depletion from gluon shadowing and Cronin enhancement, and final-state breakup through comoving particles. The timescale of a charmonium state to neutralize with r... |
quantumcomputing/16776_5e68663f418490bf_297.txt | We present a simple but effective method to measure and mitigate model biases caused by reliance on spurious cues. Instead of requiring costly changes to one's data or model training, our method better utilizes the data one already has by sorting them. Specifically, we rank images within their classes based on spuriosi... |
quantumcomputing/41506_34b0ba78ddd01800_181.txt | for the probabilities \(\Pr {(0)}\) and \(\Pr {(1)}\) of detecting the outcomes “0” and “1”, respectively. Similar relations are obtained for the choice \(\rho = {\vert {1}\rangle \langle {1}\vert }\). These relations describe an imperfect measurement process, where the measurement outcome is correct only with a certai... |
quantumcomputing/4628_b32a98b8319d41d8_5.txt | The probabilities of stating that \(\alpha = \beta \) of the DA for a fixed \(m=5\) can be seen in Fig. 6. We observe how both the linear and the geometric clearly outperform the combinatorial QADS, being the geometric the best choice, especially when \(\beta \) and \(\alpha \) are to each other. However, it could be ... |
quantumcomputing/29980_80bfbc5717d9c1cb_13.txt | Entanglement: Consider two qubits prepared in a specific correlated state, for instance, through the application of a CNOT gate. Entanglement is a uniquely quantum mechanical phenomenon where these qubits become linked in such a way that their individual states can no longer be described independently of each other; th... |
quantumcomputing/6436_723fd0fbfe5d7a11_10.txt | Quantum circuits are considered more powerful than classical circuits and require exponential resources to simulate classically. Clifford circuits are a special class of quantum circuits that can be simulated in polynomial time but still show important quantum effects such as entanglement. In this work, we present an a... |
quantumcomputing/22087_723fd0fbfe5d7a11_472.txt | We give the first circuit-extraction algorithm to work for one-way computations containing measurements in all three planes and having gflow. The algorithm is efficient and the resulting circuits do not contain ancillae. One-way computations are represented using the ZX-calculus, hence the algorithm also represents the... |
quantumcomputing/22087_69ca229ec5299de3_647.txt | In this talk, we consider a well-known combinatorial search problem. Suppose that there are n identical looking coins and some of them are counterfeit. The weights of all authentic coins are the same and known a priori. The weights of counterfeit coins vary but different from the weight of an authentic coin. Without lo... |
quantumcomputing/32894_e9df209666001648_14.txt | * B&M retailers decouple pricing/promotion decisions and optimisation from the customer interaction, and therefore from forecasting. Online, this is not possible, because the customer has total transparency to competitorsâ offerings. Thus, online pricing needs to react much more quickly to competitive pressures â f... |
quantumcomputing/15a5e0a1_119012.txt | 5. ConclusionsThe proposed research sought to efficiently design a Fredkin gate, a well-known reversible and universal logic gate. QCA was used to minimize design costs through fast switching speed and minimal use of area. For the first time, a perfectly symmetrical QFRG based on QCA MUX was proposed and then a modifie... |
quantumcomputing/22108_808db5389f8f8e1e_48.txt | BOB: Let’s unpack the measurement process illustrated in Figure 5.1. We read the diagram from left to right. A photon described by a quantum state |S⟩ interacts with a linear polarization measurement device, the PBS. The PBS orientation angle is indicated by the reading of a display on the device. We say that the two l... |
quantumcomputing/32894_fc39bbe803b856a5_403.txt | Class-incremental event detection (CIED) is essential for real-world information extraction systems, which must continually recognize new event types without forgetting past knowledge. The main challenge lies in balancing stability and adaptability under data imbalance. Existing methods often underuse the hierarchical ... |
quantumcomputing/34011_97a166cde10c3127_72.txt | The first part of the book gives the reader an introduction to basic continuous-wave (CW) EPR and an overview of the different magnetic interactions that can be determined by EPR spectroscopy, their associated theoretical , and their information content. The second provides the basics of the various EPR techniques, inc... |
quantumcomputing/32894_c65187f488c01dde_899.txt | In real-world applications, deep learning models often run in non-stationary environments where the target data distribution continually shifts over time. There have been numerous domain adaptation (DA) methods in both online and offline modes to improve cross-domain adaptation ability. However, these DA methods typica... |
quantumcomputing/17894_42dd6baf431f5528_5.txt | It is worth mentioning that a qubit is defined in a hilbert space \(\mathbb {C}^2\), and that *n* qubits are part of tensorised Hilbert space \((\mathbb {C}^2)^n\) of the size \(2^n\) for *n* qubits, which is at the origin of the exponentially big computational space for qubits (as opposed to the size *n* for n bits). ... |
quantumcomputing/32894_649ed5de679e7c0d_27.txt | using the validation data to choose one of several models, the performance of the chosen model on the validation data will be overly optimistic. The random features of the validation data that enhance the apparent performance of the chosen model will probably not be present in new data to which the model is applied. Th... |
quantumcomputing/16341_16a55bc42dde3474_36.txt | This makes me wonder how long it will be before an AI model writes a breakthrough paper in math, all or mostly on its own, including the important conceptual leaps. You could require that it formally verifies every conclusion in some language like Coq or Mizar. Once an AI is able to make even a little non-trivial progr... |
quantumcomputing/1226_124ea275a2c7a74f_38.txt | The COMET experiment aims to search for the process of muon-to-electron conversion in a muonic atom, with a ultimate goal of achieving a sensitivity on the order of 10$^{-17}$. This process violates the charged lepton flavor conservation and is forbidden in the Standard Model of the particle physics. Therefore, its dis... |
quantumcomputing/8b525119_5134.txt | ΔU: change in internal energy Q: heat added to the system W: work done by the system |
quantumcomputing/14816_889bcb3d28cecf3a_118.txt | Most experts agree that it is too early to say how quantum computers will eventually be built, and several nanoscale solid-state schemes are being implemented in a range of materials. Nanofabricated quantum dots can be made in designer configurations, with established technology for controlling interactions and for rea... |
quantumcomputing/e7321073_2297.txt | Ket notation is not always the best approach to find an answer or solve an equation. Ben will give you an example about entangled states where it would be a lot of work to use ket notation. Often when doing quantum information, ket-notation can fail you. This happens a lot when you have a densely packed vector full of ... |
quantumcomputing/4554_26f0817365794053_17.txt | * Conventional computer hardware and algorithms are not only optimized for practical tasks, but are still improving rapidly, particularly GPU accelerators. * Current quantum computing hardware generates only a limited amount of entanglement before getting overwhelmed by noise. * Quantum algorithms provide speedup over ... |
quantumcomputing/44c41564_9489.txt | npj Quantum Information (2025) Realization of higher-order topological lattices on a quantum computer Jin Ming KohTommy TaiChing Hua Lee Nature Communications (2024) |
quantumcomputing/14994_bb89c4acbf2bb616_786.txt | than 85 %, and such accuracy can be achieved by a network formed by only four oscillators. The number of records in the training dataset K and the size of the optimized population M are important parameters of the program and they have a direct impact on the computation time. We have found that reasonable results for t... |
quantumcomputing/17736_381d5d6dcc25ca8d_7.txt | The best motivation seems to be a rough analogy with Moore’s law. But Moore’s law is not nearly as easy to explain as the exponential spread of covid. The fundamental driver of Moore’s law has been the exponentially decreasing cost per transistor, which is a very complicated techno-economic phenomenon. As David #56 sai... |
quantumcomputing/26329_ff7da9bf12314062_237.txt | dependency between the two random variables. The channel coding theorem guarantees that on a noisy channel with capacity C, with 0 < ε < 1, there exists a coding scheme to transmit information with a rate to C, with a probability of error less than ε. The capacity of a noisy channel is represented as C ¼ B log 1... |
quantumcomputing/14816_5f2deb247b7d4485_141.txt | astrometry was how big are they? By the early twentieth century, our sun was the only star whose size was known, although many theoretical estimates on star sizes were floating around. Arthur Eddington, the leading theorist of stellar evolution at that time, placed the problem of the size of stars as “the greatest need... |
quantumcomputing/39f5970a_8634.txt | 1-5.D.2. "software" as follows: “Software” specially designed or modified for the “development”, “production” or “use” of any of the following:1. Equipment specified by 1-5.A.2. or “software” specified by 1 5.D.2.c.1.;2. Equipment specified by 1-5.A.3. or “software” specified by 1 5.D.2.c.2.; or3. Equipment specified b... |
quantumcomputing/32894_72cabeb6d560b66c_80.txt | Detailed routing is the most tedious and complex procedure in design automation and has become a determining factor in layout automation in advanced manufacturing nodes. Despite continuing advances in custom integrated circuit (IC) routing research, industrial custom layout flows remain heavily manual due to the high c... |
quantumcomputing/22087_db9c0f2f4b6f960d_2307.txt | FQXi 2014 asks, ‘How should humanity steer the future?' Recalling false obstacles to medical progress in humanity's recent past — eg, impeding Semmelweis (b.1818), McClintock (1902), Marshall (1951) — we reply, ‘Steer by Logic.' Then — with Logic in view and other scientific disciplines in mind — we amplify our answer ... |
quantumcomputing/b484756a_3586.txt | In this paper a quadratic problem in finance is taken, the Portfolio Optimisation problem. Here, a set of assets is chosen for investment, such that the total risk is minimised, a minimum return is realised and a budget constraint is met. This problem is solved for several instances in two main indices, the Nikkei225 a... |
quantumcomputing/27984_a63e1d1d902a753d_12.txt | Moreover, along the ‘quantum’ axis *T*=0 the vertex model must encounter a zero-temperature quantum phase transition at a finite value of *δ*. This follows from considering trivial classical circuits with no TOFFOLI gates in which case an *L* × *W* vertex model is equivalent to 3*L* decoupled Ising chains of size *W* i... |
quantumcomputing/24212_9c55ec72d7e334c6_33.txt | We compare the performance of four quantum annealers, the D-Wave *Two*, *2X*, *2000Q*, and *Advantage* in solving an identical ensemble of a parametrized family of scheduling problems. These problems are NP-complete and, in fact, equivalent to vertex coloring problems. They are also practically motivated and ly connect... |
quantumcomputing/27984_723fd0fbfe5d7a11_454.txt | The ZX calculus is a mathematical tool to represent and analyse quantum operations by manipulating diagrams which in effect represent tensor networks. Two families of nodes of these networks are ones which commute with either Z rotations or X rotations, usually called "green nodes" and "red nodes" respectively. The ori... |
quantumcomputing/6186_ae4f8f91e13777ec_203.txt | The superposition principle as a source of new possibilities We assume the easiest case of a single bit – a system that has only two possible settings, which we name yes and no for simplicity reasons. The possible preparations of such a system (regarding any following statistical experiment) are simply given by the fre... |
quantumcomputing/22108_db9c0f2f4b6f960d_2415.txt | In this exposition, the existence of the solar surface will be briefly explored. Within the context of modern solar theory, the Sun cannot have a distinct surface. Gases are incapable of supporting such structures. The loss of a defined solar surface occurred in 1865 and can be directly attributed to Herv´e Faye (Faye ... |
quantumcomputing/16776_f877111281fc4c19_18.txt | Aaronson, Atia, and Susskind (2020) established that efficiently mapping between quantum states |ψ⟩ and |φ⟩ is computationally equivalent to distinguishing their superpositions 1/√2(|ψ⟩ + |φ⟩) and 1/√2(|ψ⟩ − |φ⟩). We generalize this insight into a broader duality principle in quantum computation, wherein manipulating q... |
quantumcomputing/22087_db9c0f2f4b6f960d_2761.txt | Entropic gravity (EG) introduced by Verlinde has stimulated a great interest. One of the most interesting reactions is the commentary of Sabine Hossenfelder. The article of Kobakhidze relies on experiments supporting the existence of Schrödinger amplitudes of neutron in the gravitational field of Earth develops an argu... |
quantumcomputing/5f57cd39_9947.txt | exception qiskit.circuit.CircuitError(*message) Bases: QiskitError Base class for errors raised while processing a circuit. Set the error message. |
quantumcomputing/34793_e272bdff51b1eb10_326.txt | This paper introduces a novel approach to solving multi-block nonconvex composite optimization problems through a proximal linearized Alternating Direction Method of Multipliers (ADMM). This method incorporates an Increasing Penalization and Decreasing Smoothing (IPDS) strategy. Distinguishing itself from existing ADMM... |
quantumcomputing/316aca44_119781.txt | 2. CNOT enables universal quantum logic. In classical computing, we have universal gates (like NAND) that can be combined to implement any logical function. In quantum computing, universality works a bit differently, but the CNOT plays a key role analogous to that of NAND in classical logic. It turns out that any multi... |
quantumcomputing/44116_7b9ea9ee432854f2_53.txt | In this work, we introduce several ZX-calculus rewrite rules that increase the number of qubits and preserve the existence of Pauli flow. These rules can be used to transform any measurement pattern into a pattern containing only (general or Pauli) measurements within the XY-plane. We also give the first flow-preservin... |
quantumcomputing/32894_72cabeb6d560b66c_538.txt | The processing requirement of autonomous vehicles (AVs) for high-accuracy perception in complex scenarios can exceed the resources offered by the in-vehicle computer, degrading safety and comfort. This paper proposes a sensor frame processing rate (FPR) estimation model, Zhuyi, that quantifies the minimum safe FPR cont... |
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