id
stringlengths
34
48
text
stringlengths
0
2.93M
quantumcomputing/6fc1e03e_8798.txt
The CY gate in quantum computing is a controlled Y gate. It is a two-qubit gate where the Pauli-Y gate is applied to the target qubit only if the control qubit is in the state |1⟩. The CY gate is a specific case of a controlled unitary gate, similar to the more commonly known controlled-X (CNOT) gate, but instead appli...
quantumcomputing/34011_97a166cde10c3127_188.txt
This book starts at an introductory level and leads reader to the most advanced developments in fluorescence imaging and super-resolution techniques that have enabled the emergence of new disciplines such as nanobioimaging, multiphoton microscopy, photodynamic therapy, nanometrology and nanosensors. The interdisciplina...
quantumcomputing/55e3c476_15093.txt
Assume that we have two gates A and B that both act on n {\displaystyle n} qubits. When B is put after A in a series circuit, then the effect of the two gates can be described as a single gate C. C = B ⋅ A {\displaystyle C=B\cdot A} where ⋅ {\displaystyle \cdot } is matrix multiplication. The resulting gate C will have...
quantumcomputing/32894_c65187f488c01dde_2.txt
We formally study how \emph{ensemble} of deep learning models can improve test accuracy, and how the superior performance of ensemble can be distilled into a single model using \emph{knowledge distillation}. We consider the challenging case where the ensemble is simply an average of the outputs of a few independently t...
quantumcomputing/25808_d15b917791bf267d_148.txt
As the feature size decreases, leakage power consumption becomes an important target in the design. Using multiple threshold voltages (VTs) in cell-based designs is a popular technique to simultaneously optimize circuit timing and minimize leakage power. However, an arbitrary cell placement result of a multi-VT design ...
quantumcomputing/72cd0ee5_116932.txt
For a neural network model, the partial derivative for a weight ( θ j k subscript 𝜃 𝑗 𝑘 theta _ jk italic _θ start _POSTSUBSCRIPT italic _j italic _k end _POSTSUBSCRIPT connecting the kth layer to the next jth layer) can be decomposed in the following way for a set of inputs within a dataset, X 𝒟 𝑋 𝒟 X in m...
quantumcomputing/32894_3265abd349c0126d_44.txt
| Time | Label | Presentation Title Authors | | --- | --- | --- | | 11:00 CEST | TS10.1 | **TAIL: EXPLOITING UNDERLINE{T}EMPORAL UNDERLINE{A}SYNCHRONOUS EXECUTION FOR EFFICIENT SPIKING NEURAL NETWORKS WITH UNDERLINE{I}NTER-UNDERLINE{L}AYER PARALLELISM** **Speaker**: Haomin Li, Shanghai Jiao Tong University, CN **Author...
quantumcomputing/ab34af4c_10855.txt
A common definition of fault tolerance in quantum circuits85 (which we use in this work) is that a weight-1 error (that is, an error affecting one physical qubit) cannot propagate into a weight-2 error (now affecting two physical qubits) within a logical block. This property implies that errors cannot spread within a l...
quantumcomputing/81924673_4938.txt
The NKX protocol offers a quantum rescue device: should natural entanglement collapse, humanity would possess a tool to re-stitch coherence and keep critical quantum infrastructure operational—while preserving the viability of the FTW programme for black-hole exploration. ⛩️XIV. BIBLICAL VERSES AND THEIR CONNECTION TO ...
quantumcomputing/20750_ad4744a1e1e1b7e8_41.txt
Exploring the Quantum States The world of quantum mechanics is different. A quantum system can be in a state of superposition. A popular notion of superposition is that the system is in different states concurrently unless you measure it. For instance, the spin of a particle is not up or down, but it is up and down at ...
quantumcomputing/609f573a_0319.txt
We expect to be self averaging and have a Gaussian distribution (as Jik is uncorrelated with 〈sk〉−i) with a 0 mean and variance q over random realizations of Jik in the large N limit. Replacing the averaging over the neurons with an average over the Gaussian distribution we get Since all the neurons are equivalent, neu...
quantumcomputing/4edb6a9f_1888.txt
a, b, Full error generators for a CZ gate calibrated by conventional Ramsey sequences (a) and after improving the calibration using the information extracted from a (b), resulting in fidelities of 97.86% and 99.65%, respectively. c, d, Seven Hamiltonian errors (IX, IY, XI, YI, IZ, ZI and ZZ) extracted from the error ge...
quantumcomputing/22023_ed0826d87350b6eb_25.txt
If you were relying on the schema files previously packaged in `qiskit.schemas` or the validators built on them you should use that repository and create validators from the schema files it contains. * The functions `qiskit.qobj.validate_qobj_against_schema` and `qiskit.qobj.common.validator` along with the `validate` ...
quantumcomputing/6b1fd01c_5566.txt
We thank National Research Foundation of Korea (Project Number RS-2024-00337004) for the financial support.
quantumcomputing/33692_723fd0fbfe5d7a11_68.txt
``` @article{poirson2025engineering, author = {Poirson, Cl{\'e}ment and Roffe, Joschka and I. Booth, Robert}, title = {{Engineering CSS surgery: compiling any CNOT in any code}}, year = {2025}, journal = {arXiv preprint arXiv:2505.01370}, urldate = {2025-05-02}, link = {http://arxiv.org/abs/2505.01370}, keywords = {Lat...
quantumcomputing/34793_baea7bc0d09df8ad_306.txt
He then makes his even more startling move: “I think it gets much more interesting when we look at larger systems like the sun or the galaxy.” Here’s Sheldrake’s argument: “If consciousness emerges from patterns of electrical activity in our brains, as materialists would assume, the sun has vastly more complex patterns...
quantumcomputing/14816_baea7bc0d09df8ad_177.txt
Enhancing his model, Lau proposes that “because of the way the mammalian sensory cortices are organized, perceptual signals in the brain are spatially ‘analog’ in a specific sense,” which enables “computational advantages.” Given this analog nature, “when a sensory representation becomes conscious, not only do we have ...
quantumcomputing/3960_0678c516274774e4_114.txt
Error: Wrong again. I explicitly deferred to Wikipedia’s definition of “set”, which, though general, is admirably precise in its generality. Again, if Mark doesn’t like this definition, then he needs to explain why it’s so awful, and why I should be concerned that he doesn’t understand that I’m not relying on it (excep...
quantumcomputing/16a2c65c_14142.txt
A new optimizer called qml.MomentumQNGOptimizer has been added. It inherits from the basic qml.QNGOptimizer optimizer and requires one additional hyperparameter: the momentum coefficient, \(0 \leq \rho < 1\), the default value being \(\rho=0.9\). For \(\rho=0\), qml.MomentumQNGOptimizer reduces down to qml.QNGOptimizer...
quantumcomputing/32894_1a8f0330de3b41ea_221.txt
Federated Unlearning (FU) addresses the "right to be forgotten" in federated learning by removing specific client data’s contribution without retraining from scratch. Existing FUs are data-dependent, which make the assumption that systems can access original training data or stored historical parameter updates during u...
quantumcomputing/2270_2ed2d1df17fe28a3_202.txt
At first God did try to make universes based on simple rules – simplicity is beautiful to God too. And for sure, cellular automata seemed a sensible way of doing this, but have you ever glanced over the proof of Turing completeness for such systems? Simple rules simply shift the complexity of a calculation into the ini...
quantumcomputing/27984_a6019ccf7080d97d_89.txt
Rhythmic motor activities like walking and breathing in vertebrates and heartbeat in medicinal leeches are controlled by central pattern generators (CPGs), neuronal circuits that can produce appropriate patterns of activity without inputs from the higher brain regions and sensory feedback. One of the most enigmatic mot...
quantumcomputing/16785_8ecc1c53b3b42b31_295.txt
Cluster state quantum computation has been shown to be computationally equivalent to the standard circuit model of quantum computation. Cluster states, therefore, provide a universal entanglement resource for quantum computation. The proof of computational equivalence relies on a mapping of the time sequence of quantum...
quantumcomputing/4e9c7ba2_4183.txt
Küfeoğlu, S. (2022). Emerging Technologies. In: Emerging Technologies . Sustainable Development Goals Series. Springer, Cham. https://doi.org/10.1007/978-3-031-07127-0_2
quantumcomputing/1629_ffec68556b99fa4a_75.txt
We consider the single-copy entanglement as a quantity to assess quantum correlations in the ground state in quantum many-body systems. We show for a large class of models that already on the level of single specimens of spin chains, criticality is accompanied with the possibility of distilling a maximally entangled st...
quantumcomputing/17677_54afc39d362d45d0_119.txt
| Time | Label | Presentation Title Authors | | --- | --- | --- | | 16:30 CEST | M02.1.1 | **INTRODUCTION TO SNNS** **Speaker**: Jim Harkin, Ulster University, GB | | 16:45 CEST | M02.1.2 | **NEUROMORPHIC HARDWARE OVERVIEW** **Speaker**: Martin A. Trefzer, University of York, GB | | 17:00 CEST | M02.1.3 | **APPLICATION...
quantumcomputing/ce7d4374_118147.txt
I confess that I was always dissatisfied with this. For I kept asking myself: would I have ever formulated the Principle of Local Tomography in the first place-or if someone else had proposed it, would I have ever accepted it as intuitive or natural-if I didn't already know that QM over the complex numbers just happe...
quantumcomputing/175_40094682244c3a83_1500.txt
Modern deep learning applications require increasingly more compute to train state-of-the-art models. To address this demand, large corporations and institutions use dedicated High-Performance Computing clusters, whose construction and maintenance are both environmentally costly and well beyond the budget of most organ...
quantumcomputing/22108_631c6c965b457739_56.txt
Metcalfe, Neil B. and Bellman, Jakob and Bize, Pierre and Blier, Pierre U. and Crespel, Amélie and Dawson, Neal J. and Dunn, Ruth E. and Halsey, Lewis G. and Hood, Wendy R. and Hopkins, Mark and Killen, Shaun S. and McLennan, Darryl and Nadler, Lauren E. and Nati, Julie J.H. and Noakes, Matthew J. and Norin, Tommy and ...
quantumcomputing/34793_e272bdff51b1eb10_523.txt
Despite the widespread use of text-to-image diffusion models across various tasks, their computational and memory demands limit practical applications. To mitigate this issue, quantization of diffusion models has been explored. It reduces memory usage and computational costs by compressing weights and activations into ...
quantumcomputing/be5f2c2d_124996.txt
To connect the order finding problem to phase estimation, we consider the operation defined on a system whose classical states correspond to ZN mathbb Z _NZN , where we multiply by a fixed element a ZN a in mathbb Z _Na ZN . In particular, we define this multiplication operator MaM_aMa such that Ma x ax (mod N)...
quantumcomputing/753b627e_14076.txt
Effortlessly perform QSVT and QSP with polynomials of large degrees, using our new iterative angle solver. A new iterative angle solver for QSVT and QSP is available in the poly_to_angles function, designed for angle computation for polynomials with degrees larger than 1000. (6694) Simply set angle_solver="iterative" i...
quantumcomputing/27984_889bcb3d28cecf3a_117.txt
Quantum computing architectures are on the verge of scalability, a key requirement for the implementation of a universal quantum computer. The next stage in this quest is the realization of quantum error-correction codes, which will mitigate the impact of faulty quantum information on a quantum computer. Architectures ...
quantumcomputing/10115_80ceca0747858829_52.txt
Colorectal cancer (CRC) is the third most common cancer and the second leading cause of cancer-related deaths globally. CRC development is primarily driven by two mechanisms of genomic instability: chromosomal instability (CIN) and microsatellite instability (MSI). MSI is observed in approximately 13-16% of CRC cases, ...
quantumcomputing/f56b2aaa_118261.txt
Note that our participants are not well separated from each other. Two of the overlaps are particularly noteworthy: (i) Alice must know in advance what measurement Bob will make, because her unitary transformation Φ needs to be diagonal in the preferred basis of that measurement; (ii) in order to make their phase measu...
quantumcomputing/34011_a5801def072ec91c_2160.txt
Skeptical theistic critiques of Humean arguments can be quite complex. Here the critiques are simplified into two parts that form a simple *modus tollens* structure. The first part is to argue that there are certain claims that we cannot reasonably disbelieve or otherwise reasonably rule out. (In other words, we should...
quantumcomputing/13334_db9c0f2f4b6f960d_1363.txt
The Catt anomaly - more correctly the ‘Catt Question’ - was posed by Ivor Catt since 1982. It was initially posed to two Cambridge professors in electromagnetism who gave contradictory resolutions. None provided answers to explained why two authorities gave contradictory answers. Over the years, some attempts have been...
quantumcomputing/1226_124ea275a2c7a74f_53.txt
The LHCb detector is optimized for performing precision flavour measurements. Thanks to its particle-identification capabilities it is able to fully exploit the potential of the Large Hadron Collider. In this talk, recent results regarding the study of $C\!P$ violation in beauty-baryon decays at LHCb will be presented....
quantumcomputing/b37a3d1a_7701.txt
Fixes performance issue with how the basis_gates configuration attribute was set. Previously there were unintended side-effects to the backend class which could cause repeated simulation runtime to incrementally increase. Refer to #1229 <https://github.com/Qiskit/qiskit-aer/issues/1229> for more information and example...
quantumcomputing/6245_808db5389f8f8e1e_170.txt
with the ordinary plus sign replaced by bitwise XOR ⊕. It is easy to convince yourself that the result of x · y is either 0 or 1 no matter what the length of the bit sequences is because the bit values are either 0 or 1. One word of warning: The dot product of two binary sequences is not the same as a vector dot produc...
quantumcomputing/8518_a0df8860d2c0d85a_28.txt
fred #59: At this point, I feel like skepticism of fault-tolerant QC is a little bit like skepticism of manned moon missions in the mid-1960s. That is, it’s not that I know for sure that the skepticism is wrong; maybe there *will* be unexpected obstacles. It’s just that the skepticism isn’t *interesting* if it doesn’t ...
quantumcomputing/22087_69ca229ec5299de3_1107.txt
A teaching philosophy statement is an crucial part of your dossier. This will be a participatory workshop designed to help you write a statement of your teaching philosophy -- one that accurately reflects your personal beliefs and attitudes. We will begin with some simple exercises to help you identify what you feel is...
quantumcomputing/13334_db9c0f2f4b6f960d_1967.txt
Observation: Treating the observable universe as the surface volume of a 3-sphere allows us to produce a simple equation for the radius of the observable universe. By taking the ratio of the standard three dimensional volumes for the observable universe to the Hubble volume, and setting it equal to the ratio of the cor...
quantumcomputing/444f3f57_0351.txt
Published: 27 September 2022 Volume 32, article number 27, (2022) Cite this article You have full access to this open access article
quantumcomputing/16776_f877111281fc4c19_40.txt
The coordinate-wise median is a classic and most well-studied strategy-proof mechanism in social choice and facility location scenarios. Surprisingly, there is no systematic study of its approximation ratio in *d*-dimensional spaces. The best known approximation guarantee in *d*-dimensional Euclidean space L2(ℝ*d*) is ...
quantumcomputing/32894_c65187f488c01dde_1393.txt
In silico prediction of the ligand binding pose to a given protein target is a crucial but challenging task in drug discovery. This work focuses on blind flexible self-docking, where we aim to predict the positions, orientations and conformations of docked molecules. Traditional physics-based methods usually suffer fro...
quantumcomputing/be9f20bb_115097.txt
A special unitary group, S U ( N ) U ( N ) 𝑆 𝑈 𝑁 𝑈 𝑁 SU(N) subset U(N) italic _S italic _U ( italic _N ) italic _U ( italic _N ) , is a special subgroup such that the determinant of every element a S U ( N ) 𝑎 𝑆 𝑈 𝑁 a subset SU(N) italic _a italic _S italic _U ( italic _N ) 1 Gamburd et al....
quantumcomputing/17418_c2c01ebb412339b8_163.txt
0.354( | 000⟩ + | 001⟩ + | 010⟩ − | 011⟩ + | 100⟩ + | 101⟩ + | 110⟩ + | 111⟩ ) Each of the eight idealized states has the same amplitude, 0.354, which is 1 / 8 , indicating that the mega-qubit has a 1 / 8 probability of collapsing to each of these states even though the amplitude of | 011⟩ is negative. In this form, th...
quantumcomputing/16776_f877111281fc4c19_31.txt
In the turnstile streaming model, a dynamic vector *x*=(*x*1,…,*x**n*)∈ ℤ*n* is updated by a stream of entry-wise increments/decrements. Let *f*∶ℤ→ ℝ+ be a symmetric function with *f*(0)=0. The *f**-moment* of *x* is defined to be *f*(*x*) := ∑*v*∈[*n*]*f*(*x**v*). We revisit the problem of constructing a *universal sk...
quantumcomputing/22087_69ca229ec5299de3_460.txt
Fourier series provide a way of writing almost any signal as a superposition of pure tones, or musical notes.  But this representation is not local, and does not reflect the way that music is actually generated by instruments playing individual notes at different times.  We will discuss time-frequency representations, ...
quantumcomputing/175_2133873ef2897b08_80.txt
Parameters: : * **stinespring** (*ndarray*) – quantum channel in the Stinespring representation. * **dim\_env** (*int*")) – dimension of the Hilbert space of the environment. * **initial\_state\_env** (*ndarray**,* *optional*) – statevector representing the initial state of the enviroment. If `None`, it assumes the e...
quantumcomputing/10115_f987ec9455323c9d_190.txt
> ML is two languages in one: there is the core, with types and expressions, and there are modules, with signatures, structures and functors. Modules form a separate, higher-order functional language on top of the core. There are both practical and technical reasons for this stratification; yet, it creates substantial ...
quantumcomputing/ae810aa7_9554.txt
Distribution over vocabulary for topic k in {1..K}: beta[k] ~ Dirichlet(V, eta) Distribution over topics (latent variables): theta ~ Dirichlet(K, alpha) For each document: Choose number of words: N ~ Poisson(ξ) For each of the N words w: Choose a topic: z ~ Cat(K, theta) Choose a word: w ~ Cat(V, beta[z]) Note: This mo...
quantumcomputing/22087_db9c0f2f4b6f960d_2242.txt
Standard mathematics involves such notions as infinitely small/large, continuity and standard division. This mathematics is usually treated as fundamental while finite mathematics is treated as inferior. Standard mathematics has foundational problems (as follows, for example, from G\"{o}del's incompleteness theorems) b...
quantumcomputing/10115_59c45b8c77a80942_213.txt
“There was a time when using electricity was something you could only do after serious education and a long apprenticeship. Today, we all know how a plug works. The same is happening in the digital space. Increasingly, digital technologies are being turned into something so easy to use, utilize and manipulate so that t...
quantumcomputing/1226_3fc4c296cc68989d_61.txt
A high precision control of graphene edges could create narrow constrictions, down to the atomic size contacts,333,334 and this enables one to operate a GNR as a quantum wire,335 for use in quantum information processing, in conjunction with QDs. Simultaneously, bottom-up synthesis offers an alternative route towards t...
quantumcomputing/21985_b745cf4a986576b6_220.txt
Resistance spot welding employs the Joule heating effect to form a localized molten pool between two or more metal sheets, which upon solidification forms a solid bond. This process is widely used in automotive and other industrial sectors due to its low cost and ease of automation. Quality assurance of such joints is ...
quantumcomputing/2565_01bbb6e319e5fd22_158.txt
Exercise Convince yourself that the computation of the length of a three-dimensional vector reduces to two applications of the Pythagorean theorem using the following technique: Think of a point P in three-dimensional space. Now, draw the line segment OP whose endpoints are the origin O and P . From P drop a perpendicu...
quantumcomputing/13334_db9c0f2f4b6f960d_1695.txt
When confronted with the challenge of defining distant simultaneity Einstein looked down two roads that seemingly diverged. One road led to a theory based on backward null cone simultaneity and the other road led to a theory based on standard simultaneity. He felt that alone he could not travel both. After careful cons...
quantumcomputing/22087_36863c6de17fbf2f_65.txt
We characterize inverse limits of nilsystems in topological dynamics, via a structure theorem for topological dynamical systems that is an analog of the structure theorem for measure preserving systems. We provide two applications of the structure. The first is to nilsequences, which have played an important role in rec...
quantumcomputing/8652_3fee023099e4cc95_85.txt
Emboldened by Ehrenfest’s adiabatic principle, which demonstrated a connection between classical dynamics and quantization conditions, Bohr formalized a technique that he had used implicitly in his 1913 model of hydrogen, and now elevated it to the status of a fundamental principle of quantum theory.  He called it the...
quantumcomputing/13334_db9c0f2f4b6f960d_558.txt
In the past, theorems have shown that individuals can implement a (formal) power series method to derive solutions to algebraic ordinary differential equations, or AODEs. First, this paper will give a quick synopsis of these “bottom-up” approaches while further elaborating on a recent theorem that established the (modi...
quantumcomputing/25808_b393da4e2e72ed8a_161.txt
However, the laws of quantum mechanics include a phenomenon called tunneling. With tunneling, an energy barrier that would be insurmountable in classical physics has a non-zero probability of being crossed. So, on the right side of Figure 10.2, the object moves out of its rut where it finds a better extreme point. It’s...
quantumcomputing/16776_5e68663f418490bf_117.txt
Tensor rematerialization allows the training of deep neural networks (DNNs) under limited memory budgets by pointing the models and recomputing the evicted tensors as needed. However, the existing tensor rematerialization techniques overlook the memory system in deep learning frameworks and implicitly assume that free ...
quantumcomputing/22108_6f757863ac0255c5_192.txt
Surah 48:1-29 as **Surah al Fatah** or victory of Deen-o-Iman, while Surah Al Haqqah Surah 69 and **Surah Al Qiyamah  Surah** 75 are supposed about Judgement Day. Duration of the Day will be 50 thousand years in Hadith of Sahih Ibn Hibban. It’s sign include rising of the sun from the West by some, Arguments that Mohamm...
quantumcomputing/22087_db9c0f2f4b6f960d_1219.txt
Many geodetic works currently exist on the surface of the globe, which have developed through regional networks, usually each having a fundamental point, where the astronomical data (\phi= latitude,\lambda=longitude,Az=azimuth) of a reference are confused with the counterparts geodetic data. The comparison of 2 network...
quantumcomputing/175_40094682244c3a83_639.txt
The Mixture-of-Experts (MoE) architecture is showing promising results in improving parameter sharing in multi-task learning (MTL) and in scaling high-capacity neural networks. State-of-the-art MoE models use a trainable "sparse gate'" to select a subset of the experts for each input example. While conceptually appeali...
quantumcomputing/6c803d00_124207.txt
Case 4: For q i 1 x z q i x z (i.e., z x is exactly in the middle between q i and q i 1 ), y 0 q i is the solution because q i q i 1 , and we are looking for the smallest y 0 , especially y 0 q 0 1 . s t e p 1
quantumcomputing/a958a310_1350.txt
A graphical calculus for quantum observables Bob Coecke and Ross Duncan Show abstract ⇲ Show bibdata ⇲ Preprint Keywords: ZX-Calculus, Foundational. We present novel laws describing the interaction of a pair of mutually unbiased observables. These laws yield a diagrammatic calculus which enables matrix-free reasoning a...
quantumcomputing/fdcdc395_117878.txt
43 György P. Gehér, Marcin Jastrzebski, Earl T. Campbell, and Ophelia Crawford, To reset, or not to reset-that is the question , npj Quantum Information 11 1, 39 (2025) .
quantumcomputing/22087_723fd0fbfe5d7a11_310.txt
``` @article{ritaahmadi2022topological, author = {Ahmadi, Fatimah Rita and Kissinger, Aleks}, title = {{The ZX-calculus as a language for topological quantum computation}}, year = {2023}, journal = {Journal of Physics A: Mathematical and Theoretical}, doi = {10.1088/1751-8121/acef7e}, urldate = {2022-11-07}, link = {ht...
quantumcomputing/22087_cfa6e6481b8cd2bd_259.txt
Poincare duality \* and Petrie duality $\times$, as operators on ribbon graphs (cellular graph embeddings), generate a group of operators, or twualities, isomorphic to the symmetric group $\Sigma\_3$. Any of these twualities $T$ can be restricted to a subset of edges $A$ to give a partial twuality $G^{T|A}$. Recent pap...
quantumcomputing/5147_a60d4c8d9ed218d4_19.txt
As a consequence, there is a strong emergence for quantum compilers able to identify an optimal initial mapping among circuit qubits and physical qubits, so as to minimize the number of SWAP operations required to execute the compiled circuit. This optimization problem is known as circuit mapping, and it is formalized ...
quantumcomputing/20712_2ed2d1df17fe28a3_291.txt
> Incidentally, this is also my central objection to QBism, Copenhagen, and all other subjectivist interpretations of QM. […] The advocates of those interpretations keep repeating, in a thousand variations: > > “QM is not about Nature, it’s about us, how we talk about Nature, organize our knowledge, etc.!” > > Clearly ...
quantumcomputing/1226_b9fdfe94c5627562_73.txt
Quantum gates can be represented as tensors acting on state vectors. Hence, quantum circuits can be regarded as a network of tensor products applied to initial qubit states. Multiple methods have been developed to contract the tensors efficiently without expanding the full state, thus relaxing memory requirement (Fig. ...
quantumcomputing/fae66635_117431.txt
Get name of gate. If the gate has open controls the gate name will become: original_name_o ctrl_state where original_name is the gate name for the default case of closed control qubits and ctrl_state is the integer value of the control state for the gate.
quantumcomputing/8729_6b5eb0c4e42e043c_37.txt
When I was in junior high school, I had a friend who was really good at math, but maybe not so good at programming. He wanted to write a program using arrays, but he didn't know what an array was. So what did he do? He associated each element of the array with a unique prime number, then he multiplied them all together...
quantumcomputing/35883_e10dfa9892a52052_27.txt
Given a problem which is intractable for both quantum and classical algorithms, can we find a sub-problem for which quantum algorithms provide an exponential advantage? We refer to this problem as the "sculpting problem." In this work, we give a full characterization of sculptable functions in the query complexity sett...
quantumcomputing/02333ee0_13058.txt
This paper treats the decision problem related to the observation of a Markov process by decision makers. The information delivered to the players is based on the aggregation of the high-frequency data by some functions. Admissible strategies are stopping moments related to the available information. The payments are d...
quantumcomputing/4628_98bc330e6ca89479_473.txt
The spectrometer itself is constructed from radiofrequency (RF) electronics and a large superconducting magnet, within the bore of which is held the sample in a glass tube, as shown in Figure 7.16. There, the static z oriented magnetic field Bq is carefully trimmed to be uniform over approximately 1 cm 3 to better than...
quantumcomputing/b39b987f_118083.txt
As for whether one could imagine the rules of quantum information having been implemented in some other way well, maybe my imagination is a bit limited, but I don t really see how. Asking for a time-independent Hamiltonian is really not a very demanding request. It is merely the requirements that:
quantumcomputing/635fcd5d_120207.txt
!-- image -- displaystyle frac 1 2 sqrt 2 (( rangle _ A - rangle _ A )( rangle _ B - rangle _ B )-( rangle _ A - - rangle _ A )( rangle _ B - - rangle _ B ))
quantumcomputing/13334_0b7d8e899415e298_102.txt
Computing systems are conventionally designed to operate as accurately as possible. However, this trend faces severe technology challenges, such as power dissipation, circuit reliability, and performance. There are a number of pervasive computing applications (such as machine learning, pattern recognition, digital sign...
quantumcomputing/2565_01bbb6e319e5fd22_141.txt
in the state j1iC ˝ j0iP will cause the distribution to drift to the right. The reasons for this are constructive and destructive interference of amplitudes, a distinctly quantum phenomena that is not possible in the classical case. Note that the distribution for quantum walk can be made symmetric — p by starting in th...
quantumcomputing/3960_98c38b4b94bcbcbd_68.txt
*'Proof Test': on-line or off-line production screen testing that dynamically applies a prescribed tensile stress over a 0.5 to 3 m length of fibre at a running rate of 2 to 5m/s while passing between capstans approximately 150 mm in diameter. The ambient temperature is a nominal 293 K (20° C) and relative humidity 40%...
quantumcomputing/16776_5e68663f418490bf_4.txt
We propose a general architecture that combines the coefficient learning scheme with a residual operator layer for learning mappings between continuous functions in the 3D Euclidean space. Our proposed model is guaranteed to achieve SE(3)-equivariance by design. From the graph spectrum view, our method can be interpret...
quantumcomputing/29980_684161dc888e2e73_40.txt
The quantum adiabatic algorithm holds much promise (Farhi et al. 2001). It has been shown (Aharonov et al. 2008) to be polynomially equivalent to the circuit model (that is, each model can simulate the other with only polynomial overhead in the number of qubits and computational steps), but the caveat that is sometimes...
quantumcomputing/2565_a8a638dc956ff973_230.txt
For QSAR studies too, benchmarking the performance of quantum computer against classical processors has been documented recently in the work of Batra et al.317 The authors have used several molecular databases to identify prospective ligands for diseases like M. tubercolosis, Krabbe disease, SARS-CoV-2 in Vero cells, p...
quantumcomputing/00b63f28_126003.txt
Something to consider, however, is that the circuit resulting from the decomposition of a unitary matrix is longer than the theoretical minimum, and even the theoretical minimum number of gates for a general n-qubit unitary gate becomes quite large very quickly, since it scales with 4 n 1 in the leading term. Thus, i...
quantumcomputing/1629_3abeac199875c936_731.txt
Fig. 7.34 The bonding and antibonding between two hydrogen atoms, a (on the left) and b (on the right). Shadowed and unshadowed regions mean position probabilities for electrons being in opposite phases. The elements like O or F are the more electronegative atoms which contribute more to the bonding orbital (the two op...
quantumcomputing/38735_fabe5077e891c005_66.txt
We will be concerned with the statistical mechanics and quantum mechanics of models for magnetic degrees of freedom in Mott insulators. These have well-defined local moments, which we represent using simple spin Hamiltonians such as the Ising and Heisenberg models. The models are said to be frustrated if different contri...
quantumcomputing/26329_cdd61dafb85483f2_212.txt
The hash function SHA-256 is quantum-safe, which means that there is no efficient known algorithm, classical or quantum, which can invert it. While there is a known quantum algorithm, Grover’s algorithm, which performs “quantum search” over a black-box function, SHA-256 has proven to be secure against both collision an...
quantumcomputing/175_40094682244c3a83_1974.txt
Recently, the information-theoretical framework has been proven to be able to obtain non-vacuous generalization bounds for large models trained by Stochastic Gradient Langevin Dynamics (SGLD) with isotropic noise. In this paper, we optimize the information-theoretical generalization bound by manipulating the noise stru...
quantumcomputing/8337_cdd61dafb85483f2_72.txt
Unlike classical bits, a quantum bit can be put in a superposition state that encodes both 0 and 1. There is no good classical explanation of superpositions: a quantum bit representing 0 and 1 can neither be viewed as “between” 0 and 1 nor can it be viewed as a hidden unknown state that represents either 0 or 1 with a ...
quantumcomputing/043b3156_12595.txt
Haoli Bai · Lu Hou · Lifeng Shang · Xin Jiang · Irwin King · Michael R Lyu Network quantization has gained increasing attention with the rapid growth of large pre-trained language models~(PLMs). However, most existing quantization methods for PLMs follow quantization-aware training~(QAT) that requires end-to-end traini...
quantumcomputing/83543b58_122673.txt
When counting in binary, the uppermost bit toggles on off with every increment, the next bit toggles on off with every 2 increments and the third bit toggles on off with every 4 increments. The rule is that every nth qubit toggles on off after every 2 n increments.
quantumcomputing/20750_ad4744a1e1e1b7e8_26.txt
When comparing both info, we can see the test dataset misses the column Survived, indicating whether a passenger survived or died. As Kaggle notes, they use the test dataset to evaluate the submissions. If they provided the correct answer, it wouldn’t be much of a competition anymore, would it? It is our task to predic...
quantumcomputing/8518_aaea52cff477c637_2.txt
*An efficient divide-and-conquer approach for long-range entanglement distribution in the presence of lossy channels. Execution flows from bottom to top; blue nodes represent Bell pairs, and ones with child nodes are prepared by entanglement swapping them, reducing two shorter-range Bell pairs into one longer-range one...
quantumcomputing/9904_7ae05d4adf606362_341.txt
where for m ∈ M (c), φ ∈ C(c , c) and n ∈ N (c ) α(m ⊗ φ ⊗ n) = mφ ⊗ n − m ⊗ φn Bimodules are the main mechanism to construct functors between module categories over rings. They play the same role for modules over dg-categories. Definition 3.4. Let C and D denote two dg-categories. A bimodule X ∈ D-Mod-C is a dg-functor...
quantumcomputing/38735_4268de2ba98204ef_451.txt
We discuss both the off-shell nilpotent Becchi-Rouet-Stora-Tyutin (BRST) and anti-BRST symmetry transformations for the cosmological Friedmann-Robertson-Walker (FRW) model with a differential gauge condition in the extended phase space. In this discussion, the presence of anti-BRST symmetry provides the complete geomet...