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quantumcomputing/44116_58b87e4807ca5e69_158.txt | Abstract The hyperarithmetical sets of natural numbers were introduced (independently) in the early 1950s by Martin Davis, Andrej Mostowski and Stephen Cole Kleene and their study is surely one of the most significant developments in the theory of computability: they have a rich and interesting structure and they have ... |
quantumcomputing/9073_303b46c6a5f64744_284.txt | When marking a new version of an API—regardless of whether explicit Version Identifiers are added to messages or versions are indicated elsewhere—the easiest solution is to use simple, single numbers as versions (version 1, version 2, and so on). However, this versioning scheme does not indicate which versions are comp... |
quantumcomputing/00ef7237_120995.txt | Quanta Magazine moderates comments to facilitate an informed, substantive, civil conversation. Abusive, profane, self-promotional, misleading, incoherent or off-topic comments will be rejected. Moderators are staffed during regular business hours (New York time) and can only accept comments written in English. |
quantumcomputing/828760e3_124344.txt | p k p k 1 q k q k 1 p k q k p k p k 1 q k q k q k 1 p k q k q k 1 q k p k 1 q k p k q k 1 q k q k 1 q k A 1 k q k q k 1 q k |
quantumcomputing/14816_a8fc7655fde86ec1_13.txt | Lastly, I’d like to say that I find the 1st question you mention (“Do my conjectures (or perhaps even any similar attempt) cause classical computers to fail?”) to be very interesting. Indeed, it makes me wonder whether it might be possible to prove something along these lines. This may seem a fools errant, since genera... |
quantumcomputing/2276_1ad5f900ea6f4094_26.txt | We’ve proved one half of this already; we’ll prove the other half in the next section. This theorem answers many of our questions from earlier: we see why quantum gates must be unitary, since they’re the only matrices which preserve normalization. Of course, it doesn’t completely answer the question, since it doesn’t t... |
quantumcomputing/34011_a5801def072ec91c_48.txt | > **(1)** **Euthyphronic (Extension-Determining)**: Facts about the object’s color and S’s best judgments covary *because* it is S’s judgments that constitute facts about the color of the object. In this case, judgments are said to play an “extension-determining” role (2001, 192), making the concept of color “judgment-... |
quantumcomputing/c6309d8d_14357.txt | Interim Dean, College of Education and Health Sciences, Director of Biomechanics Laboratory, Sport Science Innovation Program, Bridgewater State University Research & Investigations in Sports Medicine |
quantumcomputing/b51445f6_122955.txt | Nhung H. Nguyen, Minh C. Tran, Yingyue Zhu, Alaina M. Green, C. Huerta Alderete, Zohreh Davoudi, and Norbert M. Linke, Digital Quantum Simulation of the Schwinger Model and Symmetry Protection with Trapped Ions , PRX Quantum 3 2, 020324 (2022). |
quantumcomputing/7e5a3682_115176.txt | C ( θ ) C t r i v ϵ 𝐶 𝜃 subscript 𝐶 𝑡 𝑟 𝑖 𝑣 italic-ϵ C( theta)-C _ triv leq epsilon italic _C ( italic _θ ) - italic _C start _POSTSUBSCRIPT italic _t italic _r italic _i italic _v end _POSTSUBSCRIPT italic _ϵ (31) ---- ---------------------------------------------------------------... |
quantumcomputing/1226_3fc4c296cc68989d_388.txt | Resistive and capacitive (see Fig. 94e) touch panels are the most common. Resistive touch screens comprise a conductive substrate, a liquid crystal display (LCD) front panel, and a TCF.1805 When pressed by a finger or pen, the front panel film comes into contact with the bottom TC and the coordinates of the contact poi... |
quantumcomputing/ceba9198_10837.txt | Our logical processor architecture, illustrated in Fig. 1a, is split into three zones (see also Extended Data Fig. 1). The storage zone is used for dense qubit storage, free from entangling-gate errors and featuring long coherence times. The entangling zone is used for parallel logical qubit encoding, stabilizer measur... |
quantumcomputing/22087_69ca229ec5299de3_2290.txt | Recent years have witnessed tremendous progress in developing and analyzing quantum computing algorithms for quantum dynamics simulation of bounded operators (Hamiltonian simulation). However, many scientific and engineering problems require the efficient treatment of unbounded operators, which frequently arise due to ... |
quantumcomputing/8729_6b5eb0c4e42e043c_197.txt | But the response to this argument has been known since 1996 or so. It's called the Threshold Theorem , 4 Informally, the Threshold The- orem says that, if you can just make the probability of error per qubit per time step sufficiently small - less than some constant, which was traditionally estimated at 10 -6 , but mig... |
quantumcomputing/8337_4de32119227e230b_8.txt | We benchmark single-qubit gate performance by using the cross-entropy benchmarking protocol described above, reduced to the single-qubit level (*n* = 1), to measure the probability of an error occurring during a single-qubit gate. On each qubit, we apply a variable number *m* of randomly selected gates and measure \({ ... |
quantumcomputing/22108_db9c0f2f4b6f960d_2562.txt | The generation of matter-antimatter asymmetry remains still poorly understood. Same is true about the generation of matter. In TGD framework the generation of matter can be explained in terms of cosmic strings carrying dark energy identified as K\ähler magnetic energy. Their decay to ordinary and dark matter would be t... |
quantumcomputing/44116_42627d408d9e484f_141.txt | possible role of temperature in this and acceptance as food fish, ease of other biological processes were impeded breeding and rearing, ability to utilize by the fact that there are virtually no a variety of inexpensive feeds of both longterm data sets on tempe... |
quantumcomputing/6ec057a3_114603.txt | During this panel session , Kentaro Yamamoto from Quantinuum, will join experts from Lawrence Berkeley National Laboratory, IBM, QuEra, RIKEN, and Pawsey Supercomputing Research Centre to explore how quantum and classical systems are being brought together to accelerate scientific discovery and industrial innovation. |
quantumcomputing/10115_59c45b8c77a80942_251.txt | “I would like to hope that decentralized sites and technologies like Mastodon, Discord and others will change the dominant paradigm for the better – but the history of cooperatives tends to show that there will always be a few big players. Email provides a good example. While it is still true that anyone can run an ema... |
quantumcomputing/13334_db9c0f2f4b6f960d_2796.txt | The paper is about 'absolute logic': an approach to logic that differs from the standard first-order logic and other known approaches. It should be a new approach the author has created proposing to obtain a general and unifying approach to logic and a faithful model of human mathematical deductive process. In first-or... |
quantumcomputing/3960_0678c516274774e4_149.txt | John, the ability to be consciously aware of, and to interrelate various pieces of information is non trivial. There has never been (to my knowledge) any proposal as to how evolution could provide such a non-trivial capacity from a trivial base. Are you aware of one? Magic, spontaneous generation, etc. Every propositio... |
quantumcomputing/34011_97a166cde10c3127_189.txt | Fluorescent proteins are intimately connected to research in the life sciences. Tagging of gene products with fluorescent proteins has revolutionized all areas of biosciences, ranging from fundamental biochemistry to clinical oncology, to environmental research. The discovery of the Green Fluorescent Protein, its first... |
quantumcomputing/22087_9f61e8bdec50f13b_39.txt | Heavy quarks (charm and beauty) are an effective tool to study the properties of the Quark-Gluon Plasma (QGP) formed in heavy-ion collisions at the LHC. Due to their large mass, they are produced during the early stages of the collisions in hard-scattering processes, on a time interval shorter than the QGP formation ti... |
quantumcomputing/14994_bb89c4acbf2bb616_749.txt | There are multiple problems with this approach, where even the obviously huge memory requirement for trying to store s ∈ S in a tabular structure is not the largest one. An even greater problem is that Python’s semantics of Dictionaries are not designed to consider similarities. Instead, they are designated as key-valu... |
quantumcomputing/4628_98bc330e6ca89479_20.txt | An enormous number of people have helped in the construction of this book, both directly and indirectly. A partial list includes Dorit Aharonov, Andris Ambainis, Nabil Amer, Howard Barnum, Dave Beckman, Harry Buhrman, the Caltech Quantum Optics Foosballers, Andrew Childs, Fred Chong, Richard Cleve, John Conway, John Co... |
quantumcomputing/20750_b393da4e2e72ed8a_25.txt | A string of four qubits has characteristics of 0101, 0000, 1111, and all the other combinations of four zeros or ones. That’s 16 combinations in all – a lot of information for only four measly qubits! And it gets even better. If you add another qubit, you have five qubits, representing 32 combinations of zeros and ones... |
quantumcomputing/3815_a8a638dc956ff973_118.txt | 3. A recent report327 using the same feature-space encoding scheme as in ref. 324 above establishes that quantum enhanced kernels perform better for complex data classification tasks like geometric data patterns distributed according to Mersenne Twister distribution.328 Classical methods cannot achieve similar accuracy... |
quantumcomputing/e8c4c7b2_122284.txt | Theoretical boundaries such as decoherence and gate fidelity are still real concerns, but they are being actively mitigated through techniques like error mitigation , circuit depth optimization , and hybrid computing , allowing Grover's algorithm to operate meaningfully even on today's imperfect hardware. |
quantumcomputing/11875_543aaf591dd6eb2d_325.txt | 5 Applications CMOS image sensors are used in a wide-range of application areas. Due to its various advantages and features, it is suitable for digital photography and medical applications. CCD image sensor is used for cameras that are used in the field of astronomy, colour cameras which have more clarity than CMOS for... |
quantumcomputing/1226_184d3f0af3fe5585_45.txt | It’s hard to overstate the importance of having a mathematical model for something like the operation of a classical computer. With the model available, there’s always a theoretical reference point for any relevant machine you want to build. A group can spend billions of dollars, secure in the knowledge that what they’... |
quantumcomputing/33692_723fd0fbfe5d7a11_31.txt | ``` @inproceedings{EPTCS426.4, author = {Backens, Miriam and Perez, Thomas}, title = {Inserting Planar-Measured Qubits into MBQC Patterns while Preserving Flow}, year = {2025}, booktitle = {Proceedings of the 22nd International Conference on Quantum Physics and Logic, Varna, Bulgaria, 14 July 2025 - 18 July 2025}, edit... |
quantumcomputing/13334_db9c0f2f4b6f960d_2453.txt | The original motivation of this work was related to Platonic solids. The playing with Einstein's equations and the attempts to interpret them physically forced the return to an old interpretational problem of TGD. TGD allows enormous vacuum degeneracy for Kähler action but the vacuum extremals are not gravitational vac... |
quantumcomputing/9073_d4c5c8d60ac2c184_15.txt | Starting from two qubits, one in the |0⟩ket0\ket{0}| start\_ARG 0 end\_ARG ⟩ state and the other in the |1⟩ket1\ket{1}| start\_ARG 1 end\_ARG ⟩ state, the qubits may or may not be swapped in superposition. The |0⟩ket0\ket{0}| start\_ARG 0 end\_ARG ⟩ qubit remains in its thread with the amplitude cos𝑐𝑜𝑠cositalic\_c... |
quantumcomputing/8b1ef1ab_0705.txt | class qibo.gates.Y(q)[source]# The Pauli-\(Y\) gate. Corresponds to the following unitary matrix \[\begin{split}\begin{pmatrix} 0 & -i \\ i & 0 \\ \end{pmatrix}\end{split}\] Parameters: q (int) – the qubit id number. property clifford# Return boolean value representing if a Gate is Clifford or not. property qasm_label#... |
quantumcomputing/14994_8ecc1c53b3b42b31_209.txt | Given a superoperator S : D A —> D A , it would be handy to describe it just in terms of system A and formalisms we already have for operators on A. General superoperators, how¬ ever, are not of the form UpU f for some unitary operator. They are not even reversible in general: from example 10.4.2, for U — Uswitch and \... |
quantumcomputing/14472_a8a638dc956ff973_139.txt | As machine learning and neural networks became increasingly popular with their application in many diverse fields, the concoction of quantum mechanics and machine learning algorithms also started surfacing.156,177,427,428 The development of quantum annealing processors429 deemed a natural fit for testing the machine le... |
quantumcomputing/9065c78d_121246.txt | for some H , it goes to zero faster than a reciprocal of any polynomial for large values of φ , then we can integrate by parts (after a Wick rotation, followed by a Wick rotation back) to get the following Schwinger-Dyson equations for the expectation: |
quantumcomputing/8729_6b5eb0c4e42e043c_303.txt | So, what do Bennett et al. propose as an alternative? Their pre- scription is that, if you want to talk about CTCs at all, then you need to assume that what happens inside the CTC isn't causally affected by anything in the entire rest of the universe. And thus, the output states but not as anything more than that. So B... |
quantumcomputing/0f021bd3_121504.txt | Replace the components of a and b with 2 2 matrices. These matrices are the standard representation of complex numbers as 2 2 real matrices. Call these matrices A and B. |
quantumcomputing/13334_0b7d8e899415e298_124.txt | | Time | Label | Presentation Title Authors | | --- | --- | --- | | 14:30 CET | 17.5.1 | **(Best Paper Award Candidate)** **FASTGR : GLOBAL ROUTING ON CPU-GPU WITH HETEROGENEOUS TASK GRAPH SCHEDULER** **Speaker**: Siting Liu, The Chinese University of Hong Kong, HK **Authors**: Siting Liu1, Peiyu Liao1, Rui Zhang2, Zhi... |
quantumcomputing/34011_a5801def072ec91c_2057.txt | Like the ordinary movements of objects observable in nature, which Galileo largely ignored, actual speech performance is likely to be the product of a mass of interacting factors, such as the social conventions governing the speech exchange, the urgency of the message and the time available, the psychological states of... |
quantumcomputing/14994_bb89c4acbf2bb616_831.txt | 54. W. M. Stevens, A. Adamatzky, I. Jahan, and B. de Lacy Costello, Timedependent wave selection for information processing in excitable media. Phys. Rev. E 85(6), 066129 (2012). 55. J. Gorecki, J. Gorecka, and A. Adamatzky, Information coding with frequency of oscillations in Belousov-Zhabotinsky encapsulated disks. P... |
quantumcomputing/9769_0c512b4f968e49d9_6.txt | *A cross-platform programming language* This is the language in which all kernels are going to be written. In the context of OpenCL, a kernel is a small program or function that runs on a computing device like a GPU or CPU. It performs specific tasks in parallel, meaning it can process multiple pieces of data at the sa... |
quantumcomputing/ac9e8eee_126816.txt | Next, following the pictures, add one course of LEDs at a time paying attention to the correct orientation start with the flat side of the LED (cathode or the shorter lead) facing the bottom of the ABS sheet. We are actually constructing the matrix column by column. You can save some time by cutting the cathode l... |
quantumcomputing/f7203fe2_11014.txt | Presenting Author: Brenden Guyette, Colorado School of MinesContributing Author(s): Joshua Lewis, Lincoln Carr This study explores the adaptation of solid-state physics principles to the fractional Schrödinger equation, focusing on the resulting modifications to band structure. We investigate how varying the fractional... |
quantumcomputing/8337_01340d24a5dea1fa_325.txt | * Presenter: Matthew Fisher, UC Santa Barbara * NOTE SPECIAL LOCATION: 11th Floor Commons Room * Host: Victor Gurarie * Abstract: Within each of nature’s crystals is an exotic quantum world of electrons weaving to and fro. Each crystal has its own unique tapestry, as varied as the crystals themselves. In some crystals ... |
quantumcomputing/24212_45e264729078187e_468.txt | Abstract *Energy conservation is a basic physics principle, the breakdown of which often implies new physics. This paper presents a method for data-driven "new physics" discovery. Specifically, given a trajectory governed by unknown forces, our Neural New-Physics Detector (NNPhD) aims to detect new physics by decomposi... |
quantumcomputing/e0774661_4015.txt | Add this session to my calendar Date: Monday, 17 April 2023Time: 09:45 CEST - 10:30 CESTLocation / Room: Queen Elisabeth Hall video is loading ... |
quantumcomputing/9339_2ed2d1df17fe28a3_344.txt | It should be pointed out that the six items above are *actual observable features of computational devices* that you can be shown with a microscope or intracellular microelectrode. The neuroscientists didn’t just make up the fact that the transfer impedance at a synaptic site encodes a complex number. If someone wants ... |
quantumcomputing/26329_ff7da9bf12314062_60.txt | Note that the wavefunction needs to be continuous at the region boundaries. This means, ψ 1(0) ¼ ψ 2(0) at the boundary between the regions I and II, and ψ 2(L ) ¼ ψ 3(L ) at the boundary between the regions II and III. We also said that the first-order derivative of the solution is continuous at the region between the... |
quantumcomputing/22108_db9c0f2f4b6f960d_351.txt | In physics, a single center of gravity is assumed for forces. However, at least 3 fixed points π, π2, π3are required as the center, orthograde for the 3 spatial dimensions. With this approach, the universe can be understood as a set of rational numbers Q. This is to be distinguished from how we see the world, a 3-dimen... |
quantumcomputing/a75ad26f_8251.txt | Orthogonal neural networks have recently been introduced as a new neural network type that enforces orthogonality in weight matrices jia2019orthogonal ; wang2020orthogonal . Several classical gradient descent methods have been proposed to preserve orthogonality while updating weight matrices, but these techniques suffe... |
quantumcomputing/34011_a5801def072ec91c_2289.txt | The exact boundaries of a self-producing, self-individuating living system can be flexible. In this regard, Di Paolo and others (2018) cite the capacity of some insects and spiders to breathe underwater for certain periods of time. They manage to do this by trapping air bubbles in the hair on their abdomens. In such ca... |
quantumcomputing/8a9a04c9_7922.txt | QNodes now have an update method that allows for re-configuring settings like diff_method, mcm_method, and more. This allows for easier on-the-fly adjustments to workflows. (#6803) After constructing a QNode, import pennylane as qml @qml.qnode(device=qml.device("default.qubit")) def circuit(): qml.H(0) qml.CNOT([0,1]) ... |
quantumcomputing/34793_baea7bc0d09df8ad_498.txt | Philosopher and humanist Raymond Tallis, a former geriatric neurologist and clinical neuroscientist, has a baffling yet coherent and penetrating perspective on consciousness (my highest compliment) (Tallis, 2011a). He is anti-reductionist in principle, not just in practice, asserting, “We have failed to explain how con... |
quantumcomputing/22087_db9c0f2f4b6f960d_2373.txt | In the hyperverse model, particles of matter are collapsed and coalesced quanta of space, created by a condensation process to conserve angular momentum and centripetal force. We have proposed that the component quanta have spin, and hypothesize here that upon particle formation, the collapsed and coalesced component q... |
quantumcomputing/34011_a5801def072ec91c_2105.txt | which makes no sense if understood literally but is immediately recognizable as a grammatical sentence in English. Whether syntax is entirely independent of meaning and use has proven somewhat contentious, with some arguing that, on the contrary, questions of grammaticality cannot be separated from pragmatic and semant... |
quantumcomputing/22087_69ca229ec5299de3_14.txt | Dynamics of spatially extended systems is often described by Lattice Dynamical Systems (LDS). LDS were introduced 25 years ago independently by four physicists from four countries. Sometimes LDS themselves are quite relevant models of real phenomena. Besides, very often discretizations of partial differential equations... |
quantumcomputing/f3749032_115287.txt | Naoki Mitsuda, Tatsuhiro Ichimura, Kouhei Nakaji, Yohichi Suzuki, Tomoki Tanaka, Rudy Raymond, Hiroyuki Tezuka, Tamiya Onodera, and Naoki Yamamoto, Approximate complex amplitude encoding algorithm and its application to data classification problems , Physical Review A 109 5, 052423 (2024). |
quantumcomputing/11871_f5b0288e0ea8c1ae_135.txt | corresponds to loss of 99%. When considering individual photons, these correspond to 90% probability and 99% probability of loss of the photon, respectively. Physicists sometimes refer instead to the attenuation length l0 , the distance over which the signal strength (or reception probability) falls by a factor of 1/e ... |
quantumcomputing/22087_db9c0f2f4b6f960d_604.txt | We study A Dictionary of Plant Sciences, the fourth edition, by Michael Allaby from the Oxford University Press. We draw the natural logarithm of the number of entries, normalised, starting with a letter vs the natural logarithm of the rank of the letter, normalised. We conclude that the Dictionary can be characterised... |
quantumcomputing/34011_a5801def072ec91c_1822.txt | To this extent, theoretical wisdom is a distinctively disinterested type of knowledge. It is the limiting case of the type of knowledge we seek when we want to understand something for its own sake rather than because it benefits us or has practical utility, and Aristotle associates it strongly with leisure (*scholē*) ... |
quantumcomputing/10115_16a55bc42dde3474_3.txt | JUSTIN: Up to 6 extra credit points. Yeah, step 3a says it's sending n qubits, when it's actually log n. It also seems incorrect beginning in the analysis of step d. It switches from summing over |z> and referring to the full strings x and y to referring to individual indices i,x_i,y_i. And I don't know what it means a... |
quantumcomputing/14816_889bcb3d28cecf3a_235.txt | Instantaneous quantum computing is a subuniversal quantum complexity class, whose circuits have proven to be hard to simulate classically in the discrete-variable realm. We extend this proof to the continuous-variable (CV) domain by using squeezed states and homodyne detection, and by exploring the properties of postse... |
quantumcomputing/22087_cfa6e6481b8cd2bd_96.txt | The application that motivates this work is numerical simulation of the biomechanics of the respiratory system. The main respiratory muscle is the diaphragm, which is a thin structure. There are several challenges associated with the geometry, including its representation. Here, we first use a radial basis function par... |
quantumcomputing/4625_578753610752009e_222.txt | (a) Suppose we are given a subspace T of H and a linear map from kets in T to others in H: |ψ → # ψ (linear). This map preserves inner products of vectors in T , so that φ ψ = φ |ψ . Show that there exists a unitary operator V on H such that ψ = V |ψ for any |ψ in T . Hint: Use the fact that any orth... |
quantumcomputing/32894_72cabeb6d560b66c_618.txt | Winograd convolution is originally proposed to reduce the computing overhead by converting multiplication in neural network (NN) with addition via linear transformation. Other than the computing efficiency, we observe its great potential in improving NN fault tolerance and evaluate its fault tolerance comprehensively f... |
quantumcomputing/175_40094682244c3a83_2214.txt | Models like LASSO and ridge regression are extensively used in practice due to their interpretability, ease of use, and strong theoretical guarantees. Cross-validation (CV) is widely used for hyperparameter tuning in these models, but do practical methods minimize the true out-of-sample loss? A recent line of research ... |
quantumcomputing/22087_e1ef1f358f6bc321_184.txt | The research purpose was to develop a model bioeconomic of profit maximization that can be applied to red tilapia culture. The development of fish growth model used polynomial growth function. Profit maximization process used the first derivative of profit equation to time of culture equal to zero. This research has al... |
quantumcomputing/a294cf80_125603.txt | α 000 α 011 β 110 β 101 2. frac alpha 000 rangle alpha 011 rangle beta 110 rangle beta 101 rangle sqrt 2 .2 α 000 α 011 β 110 β 101 . |
quantumcomputing/20750_ad4744a1e1e1b7e8_143.txt | The circuit correctly calculates the conditional probability given a prior and a modifier. We have seen that it gets quite tricky to calculate the conditional for a prior greater than 0.5 and a modifier greater 1.0. In this example, we prepare for a modifier up to 2.0. While this is enough to consider all cases for a p... |
quantumcomputing/8337_01340d24a5dea1fa_273.txt | * Presenter: Asimina Arvanitaki, Perimeter Institute * Host: Shanta de Alwis * Abstract: When we think about Particle physics the first thing that comes to mind is colliders and high energies. In this talk, I will describe how low energy experiments can probe new phenomena, new particles and new forces of nature. I wil... |
quantumcomputing/22108_db9c0f2f4b6f960d_2450.txt | This is the second installment in a four part series, the aim of the work being to introduce absolute motion into Einstein's Special Theory of Relativity (STR). Herein, we depart from the traditional case where one twin stays put while the other rockets into space, we consider the case of identically accelerated twins.... |
quantumcomputing/97e542aa_11968.txt | Justifications for data localization have evolved. Some policymakers still inadvertently support localization, as they do not understand how firms manage data on a global basis while complying with local laws. However, more policymakers openly support localization as a form of protectionism. More policymakers (such as ... |
quantumcomputing/41506_34b0ba78ddd01800_87.txt | An even r analogy between the (hypothetical) Stern-Gerlach inteferometer and the Mach-Zehnder interferometer is obtained if one considers a variant of the Mach-Zehnder set-up which works with polarised beams of light. The photons then carry polarisation as an additional degree of freedom (beyond the path, or spatial mo... |
quantumcomputing/14816_e6eb321e4e9c903b_161.txt | 3 Quantum Computation and Parallel Universes The are problems that are hard for a classical computer, but that a quantum computer can solve easily (where “easy” and “hard” are meant in the computational sense defined above in Sect. 2.2).26 The most famous example of such a problem is that of factoring large integers in... |
quantumcomputing/27984_723fd0fbfe5d7a11_424.txt | In this paper, we propose a general scheme to analyze the barren plateau phenomenon in training quantum neural networks with the ZX-calculus. More precisely, we extend the barren plateaus theorem from unitary 2-design circuits to any parameterized quantum circuits under certain reasonable assumptions. The main technica... |
quantumcomputing/13334_db9c0f2f4b6f960d_2883.txt | This letter explains that density of positive mass and negative mass is almost uniformly throughout the whole universe, but density of positive mass and negative mass included in a random universe radius R can be different from each other. Like this, positive, zero, negative values of total gravitational potential ener... |
quantumcomputing/92fa4556_3873.txt | Plain-vanilla VQE takes a fixed variational state as an input to the computation. This incurs the risk of overfitting the target state if the variational manifold is too large. The ADAPT-VQE method iteratively constructs this ansatz instead. It relies on a predefined operator pool from which operators are drawn adaptiv... |
quantumcomputing/32894_c65187f488c01dde_361.txt | Language models are defined over a finite set of inputs, which creates a vocabulary bottleneck when we attempt to scale the number of supported languages. Tackling this bottleneck results in a trade-off between what can be represented in the embedding matrix and computational issues in the output layer. This paper intr... |
quantumcomputing/10115_59c45b8c77a80942_159.txt | Beneficial and Harmful **Sean McGregor**, founder of the Responsible AI Collaborative, said, “By 2035, technology will have developed a window into many inequities of life, thereby empowering individuals to advocate for greater access to and authority over decision-making currently entrusted to people with inscrutable ... |
quantumcomputing/16776_c28588474dec8d9f_11.txt | Previous bounds for $3$-query linear LCCs proceed by constructing a $2$-query locally decodable code (LDC) from the $3$-query linear LCC/LDC and applying the strong bounds known for the former. Our approach is more direct and proceeds by bounding the covering radius of the dual code, borrowing inspiration from [IS20]. ... |
quantumcomputing/11875_543aaf591dd6eb2d_172.txt | 1 Introduction Cloud computing is defined as the on-demand availability of IT resources. A resource in the cloud is a computer system resource such as a computing resource, storage resource or memory 1]. As we move toward artificial intelligence and machine learning, applications are becoming more and more resource int... |
quantumcomputing/27984_38560fa2475fab4d_37.txt | subscript𝑖1…subscript𝑖𝑁21\sum\_{i\_{1},...,i\_{N}=0,1}|\alpha\_{i\_{1},...,i\_{N}}|^{2}=1.∑ start\_POSTSUBSCRIPT italic\_i start\_POSTSUBSCRIPT 1 end\_POSTSUBSCRIPT , … , italic\_i start\_POSTSUBSCRIPT italic\_N end\_POSTSUBSCRIPT = 0 , 1 end\_POSTSUBSCRIPT | italic\_α start\_POSTSUBSCRIPT italic\_i start\_POSTSUBSC... |
quantumcomputing/3960_4138ecdb10326a58_30.txt | Out of measurement after measurement, out of programming after programming, out of pattern forming and more and more complex pattern forming through ever increasing complexity of the observer or the program at various levels the classical world emerged. . . going on this way, that is, recording, memorizing, and program... |
quantumcomputing/22087_69ca229ec5299de3_557.txt | We study the nonparametric regression model (X1 , Y1 ), ...(Xn , Yn ) , where (Xi )i≥1 is the deterministic design and (Yi )i≥1 is a sequence of real random variables. Assume that the density of Yi is known and can be written as g (., f (Xi )) , which depends on a regression function f at the point Xi . The function f ... |
quantumcomputing/21985_eb331ef00992d95b_18.txt | We can push our criterion of fundamentality even further and try to reach the most fundamental constraints, those that are not provisional because violating them would jeopardize the applicability of the scientific method. A clear example of this is the bound imposed by the finite speed of light. But why is it so speci... |
quantumcomputing/16341_16a55bc42dde3474_23.txt | There is a human tendency to look at a painting, work of math, or bit of physics, and ascribe meaning to it; and then to look for the human behind that meaning — “what singular mind it must have taken to come up with that…” And so it becomes hard to imagine works that seem meaningful to not have any human behind them a... |
quantumcomputing/38735_ff7da9bf12314062_37.txt | Practice Problems 1. A source emits gamma rays of wavelength λ ¼ 3 1012 m. If a burst of gamma rays from the source contained 2 J of energy, calculate the number of photons in the burst. (use: Planck’s constant h ¼ 6.626 1034 Js and speed of light c ¼ 3 108 ms1.) 2. What is the minimum uncertainty in an electr... |
quantumcomputing/fa9b37ea_6522.txt | With hundreds of thousands of language models available on Huggingface today, efficiently evaluating and utilizing these models across various downstream tasks has become increasingly critical. Many existing methods repeatedly learn task-specific representations of Large Language Models (LLMs), which leads to inefficie... |
quantumcomputing/3960_4138ecdb10326a58_14.txt | A detector is any quantum system prepared in an initially inert state that can be entangled with the system we wish to study, such that the studied system would send the detector into a different state. It is often wanted that the detector's different states amplifies the perturbation from the studied system to make a ... |
quantumcomputing/36afeac2_115598.txt | Similar to what we saw for classical reversible circuits, gates acting on (n ) individual qubits that are part of a larger multi-qubit system can be combined into a single unitary by taking the Kronecker product between them: |
quantumcomputing/24212_723fd0fbfe5d7a11_21.txt | Quantum computing promises significant speed-ups for certain algorithms but the practical use of current noisy intermediate-scale quantum (NISQ) era computers remains limited by resources constraints (e.g., noise, qubits, gates, and circuit depth). Quantum circuit optimization is a key mitigation strategy. In this cont... |
quantumcomputing/22108_db9c0f2f4b6f960d_2480.txt | One of causes why Twin Primes problem was unsolved over a long period is that pairs of Twin Primes (PTP) are considered separately from other pairs of Twin Numbers (PTN). By purpose of this work is research of connections between different types of PTN. For realization of this purpose by author was developed the "Arith... |
quantumcomputing/22087_d746540042bdfe6c_253.txt | 2010 Mathematics Subject Classification: 39A23, 35Q51, 34K13, 34K29. {\bf {\it Keywords :}} loaded Korteweg-de Vries equation, inverse scattering problem, the class of steplike function, scattering data, Lax pair, eigenvalue, eigenfunction. It is known, that the Korteweg-de Vries equation can be integrated with Inverse... |
quantumcomputing/27927_67376b44df69bab4_166.txt | res = jax.grad(cost_fn)(params) ``` * All qubit operations have been re-written to use the `qml.math` framework for internal classical processing and the generation of their matrix representations. As a result these representations are now fully differentiable, and the framework-specific device classes no longer need t... |
quantumcomputing/bd0d0c75_10631.txt | Learn how to use JavaScript to create art with code. More and more contemporary artists are using math and programming to create digital art and interactive experiences. This course is taught by artist and software engineer Patt Vira. She'll show you how to use the popular p5.js library. You can code along at home and ... |
quantumcomputing/34793_74dcaa7adf2cb6cc_77.txt | In a sense the same mathematical properties that drove the development of elementary accounting systems in Mesopotamia four thousand years ago, still help us to penetrate in to the world of subatomic structures. In the past decennia information seems to have become a vital concept in physics. Seth Lloyd and others (Zus... |
quantumcomputing/f3bc9642_118720.txt | The fact that the lattice refinement is not producing any difficulties can be seen by plotting the energy levels for HλH_ lambda , which linearly interpolates between P (Hlow μ) P μP(H_ rm low - mu)P dagger mu at λ 0 lambda 0 and HhighH_ rm high at λ 1 lambda 1. In Fig. 5, we plot the single-particle energy le... |
quantumcomputing/21985_b745cf4a986576b6_100.txt | We measure the isothermal rejuvenation of stable glass films of poly(styrene) and poly(methylmethacrylate). We demonstrate that the propagation of the front responsible for the transformation to a supercooled-liquid state can serve as a highly localized probe of the local supercooled dynamics. We use this connection to... |
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