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quantumcomputing/32894_74845111e5423cd6_225.txt | Radioisotope power systems have been powering space missions for decades, historically using radioisotope thermoelectric generators to convert heat to usable electricity. Teams at NASA’s Glenn Research Center have been studying and testing free-piston Stirling convertors which provide order of magnitude efficiency gain... |
quantumcomputing/e576a0ca_115559.txt | TipsTo compare if two circuits perform an equivalent operation, you can use getMatrix to get the matrix representations of the circuits. If the two matrices are equal, then the circuits are equivalent. |
quantumcomputing/17894_86077d4a38b44b11_99.txt | [Multi-controlled single-target (MC) gates are some of the most crucial building blocks for varied quantum algorithms. How to implement them optimally is thus a pivotal question. To answer this question in an architecture-independent manner, and to get a worst-case estimate, we should look at a linear nearest-neighbor ... |
quantumcomputing/22087_db9c0f2f4b6f960d_3001.txt | The book describes basic quantum TGD in its recent form. The properties of the preferred extremals of Kähler action are crucial for the construction and the discussion of known extremals is therefore included. General coordinate invariance and generalized super-conformal symmetries - the latter present only for 4-dime... |
quantumcomputing/512283ea_116563.txt | In the context of Grover s search algorithm, a quantum oracle is employed to identify target entries within an unsorted database. Grover s algorithm is a quantum procedure designed to search through an unsorted database with N entries in a mere O( N) time, a significant speedup compared to the classical O(N) time compl... |
quantumcomputing/ee37a704_11305.txt | Original Manuscript: March 5, 2019 Revised Manuscript: October 3, 2019 Manuscript Accepted: February 27, 2020 Published: December 14, 2020 Accepted Manuscript Download Accepted Manuscript Access to this article is made available via and is subject to OSA Publishing Terms of Use. References (991) |
quantumcomputing/14994_cdd61dafb85483f2_143.txt | Qubits can be realised with multiple technologies, for example, quantum dots are structures that can confine and manipulate a single electron to be acted as a qubit. Another way of manipulating the spin of an electron is done via nitrogen-vacancy centers in diamond. Transmon qubits are one type of superconducting qubit... |
quantumcomputing/27984_889bcb3d28cecf3a_24.txt | The computer game of quantum minesweeper is introduced as a quantum extension of the well-known classical minesweeper. Its main objective is to teach the unique concepts of quantum mechanics in a fun way. Quantum minesweeper demonstrates the effects of superposition, entanglement and their non-local characteristics. Wh... |
quantumcomputing/5b92edad_125127.txt | 3.2 Encoding We encode any Pauli string Pnsubscript𝑃𝑛P_ n italic_P start_POSTSUBSCRIPT italic_n end_POSTSUBSCRIPT as an integer index using base-4 with the mapping I 0,X 1,Y 2,Z 3formulae-sequence𝐼0formulae-sequence𝑋1formulae-sequence𝑌2𝑍3I 0,X 1,Y 2,Z 3italic_I 0 , italic_X 1 , italic_Y 2 , italic_Z 3. Th... |
quantumcomputing/2565_01bbb6e319e5fd22_105.txt | VQE with Noise The VQE algorithm is designed to make effective use of near-term quantum computers. It is therefore important to analyze its performance in a noisy environment such as a NISQ processor. Above, we used the noiseless QVM to simulate circuits in VQE. Now, we can consider a QVM with a particular noise model ... |
quantumcomputing/1eb04bcb_10511.txt | Multi-turn visual conversation is an important ability of real-world AI assistants. However, the related evaluation benchmark is missed. This paper presents ConvBench, a multi-turn conversation benchmark with hierarchical capabilities ablation evaluation for Large Vision-Language Models (LVLMs). ConvBench comprises 577... |
quantumcomputing/26329_cdd61dafb85483f2_287.txt | Still, the experiment is significant because, for a network, the setup link is about half of the basic element called a quantum repeater. A repeater would consist of two systems like the one in the experiment placed end to end. Once physicists had entangled the atom clouds at the ends of each system, they could perform... |
quantumcomputing/175_40094682244c3a83_2241.txt | We present Coordinated Proximal Policy Optimization (CoPPO), an algorithm that extends the original Proximal Policy Optimization (PPO) to the multi-agent setting. The key idea lies in the coordinated adaptation of step size during the policy update process among multiple agents. We prove the monotonicity of policy impr... |
quantumcomputing/25808_c8cab417321000d7_32.txt | One tensor network approach from the physics community that mirrors some motivating principles of Pauli propagation is known as dissipation-assisted operator evolution (DAOE) [48]. It uses matrix product states (MPS) in the Pauli basis with the specific goal of estimating expectation values after dynamical evolution. D... |
quantumcomputing/2565_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 , and we remove both the rando... |
quantumcomputing/8652_beca850a8e44abec_18.txt | **Title:** Extending the versatility and coherence of spin-photon entanglement generation with semiconductor quantum dots. **Abstract:** Measurement-based quantum computing is a promising approach for scalable quantum computing and networking. This relies upon the deterministic generation of graph states composed of ma... |
quantumcomputing/24212_723fd0fbfe5d7a11_220.txt | The "Sum-Over-Paths" formalism is a way to symbolically manipulate linear maps that describe quantum systems, and is a tool that is used in formal verification of such systems. We give here a new set of rewrite rules for the formalism, and show that it is complete for "Toffoli-Hadamard", the simplest approximately univ... |
quantumcomputing/3f55600c_124192.txt | Based on this, we can refine Figure 4, which depicts the nesting and ordering of convergents by including semiconvergents: Between two succeeding convergents (e.g., x n and x n 2 in Figure 8, the corresponding semiconvergents ordered according to Lemma 4 are nested (in increasing order as shown for an even n in Figur... |
quantumcomputing/29980_224976a547f6decb_29.txt | As demonstrated in this chapter, theory and computer models play an important role in the advancement of chemistry in the QIS field. Open-source and commercially available electronic structure codes have played an integral role in studying and understanding spectroscopic results in recent studies. The number of codes a... |
quantumcomputing/6436_5c00a923e3f7fc09_5.txt | A two-stage approach is used to obtain pulse waveform amplitudes with high fidelities. In the first stage, the trained neural network is used to obtain predictions of fidelity given random and coarsely selected values for pulse waveform amplitudes. Based on the predictions, the amplitudes corresponding to high fideliti... |
quantumcomputing/4693_34b0ba78ddd01800_68.txt | The mathematical just introduced provides a useful background for establishing some of the basic terminology of quantum information theory. The unit of quantum information, the quantum bit (or qubit), is the communication value of a quantum system with a two-dimensional Hilbert space \({\mathscr {H}}\), such as the sp... |
quantumcomputing/9f36cc48_119614.txt | Quantum computing is poised to revolutionize the field of cybersecurity both by breaking some of today s encryption and by offering new, physics-based security protocols. Unlike classical computers, which use bits that are either 0 or 1, quantum computers use quantum bits (qubits) that leverage phenomena like superpo... |
quantumcomputing/20712_5e5e2b00d7458daa_13.txt | | | | | --- | --- | | **9 November in German history** | Several extremely major German historical events ranging from 1848 to 1989 all happened on the same day of the year. | | **Affair of the Dancing Lamas** | They danced in the UK for a documentary; it made Tibet cut off relations and isolate themselves, which lef... |
quantumcomputing/1629_a8a638dc956ff973_250.txt | Since machine learning tasks are data-intensive efficient protocols for loading entries from a high-dimensional classical vector onto a quantum state without smarter preprocessing for feature extraction continues to be a significant challenge. The early domain of QML algorithms included HHL178 for PCA and clustering, r... |
quantumcomputing/3be134ed_11736.txt | An informative error message has been added if Autograph is employed on a function that has a lambda loop condition in qml.while_loop. (#7178) Logic in qml.drawer.tape_text has been cleaned. (#7133) An intermediate caching to null.qubit zero-value generation has been added to improve memory consumption for larger workl... |
quantumcomputing/05457209_11771.txt | Weaving together known successful interventions with innovative new methods, Compassionate Relational Therapy (CRT) offe 140 71 4MB Read more |
quantumcomputing/8337_4de32119227e230b_16.txt | We simulate the quantum circuits used in the experiment on classical computers for two purposes: (1) verifying our quantum processor and benchmarking methods by computing \({ {\mathcal F} }\_{{\rm{XEB}}}\) where possible using simplifiable circuits (Fig. 4a), and (2) estimating \({ {\mathcal F} }\_{{\rm{XEB}}}\) as wel... |
quantumcomputing/14816_6b5eb0c4e42e043c_56.txt | In the last 60 years, have there been any new insights about the Turing Test itself? In my opinion, not many. There has, on the other hand, been a famous "attempted" insight, which is called Seaile’s Chinese Room. This was put forward around 1980, as an argument that even a computer that did pass the Turing Test wouldn... |
quantumcomputing/33692_723fd0fbfe5d7a11_553.txt | String diagrams turn algebraic equations into topological moves that have recurring shapes, involving the sliding of one diagram past another. We individuate, at the root of this fact, the dual nature of polygraphs as presentations of higher algebraic theories, and as combinatorial s of "directed spaces". Operations of... |
quantumcomputing/fd78c4af_7505.txt | where \(M_i = \left( {\begin{array}{c}m\\ i\end{array}}\right) \), and each \(n_{i, j, k}\) represents the k-th element of the j-th subset of \(\{ 0, 1, \ldots , m-1 \}\) of size i (there are \(M_i\) different subsets of size i). Now, we can apply Lemma 1: Since \(g(n) \in \mathbb {N}\), the integrals of the cosines fr... |
quantumcomputing/361c97b6_14404.txt | 2D topological codes such as the surface and colour codes have transversal implementation of Clifford gates (for example, {H, S, CNOT}). This gate set is not universal, that is, it cannot alone be used to realize an arbitrary quantum computation and requires a non-Clifford gate such as {T, CCZ} for achieving universal ... |
quantumcomputing/6245_808db5389f8f8e1e_36.txt | BOB: For more than 150 years, we have known that a light beam (think of a laser-pointer beam) can be described as oscillating electric and magnetic fields that travel through space as illustrated in Figure 4.4. These are the same kinds of fields that are responsible for “static electricity,” for sparks that jump from y... |
quantumcomputing/44702_afb95353be58d856_2.txt | [1] Liang-Ying Chih and Murray Holland, Phys. Rev. Research 3, 033279 - Published 27 September 2021 [2] Raphael Kaubruegger, Athreya Shankar, Denis V. Vasilyev, and Peter Zoller, PRX Quantum 4, 020333 - Published 1 June 2023 [3] Catie Le Desma, Kendall Mehling, Murray Holland, arXiv:2407.04874 [4] Jing Liu et al 2020 ... |
quantumcomputing/4554_67376b44df69bab4_126.txt | * `qml.pauli.is_pauli_word` now supports instances of `qml.Hamiltonian`. (#3389) * When `qml.probs`, `qml.counts`, and `qml.sample` are called with no arguments, they measure all wires. Calling any of the aforementioned measurements with an empty wire list (e.g., `qml.sample(wires=[])`) will raise an error. (#3299) * M... |
quantumcomputing/5147_a60d4c8d9ed218d4_17.txt | Currently, quantum computing is becoming a popular paradigm in computation thanks to the cloud-based availability of so-called Noisy Intermediate-Scale Quantum (NISQ) devices, i.e. quantum processors equipped with a low number (typically 50–100) of qubits not fully tolerant to quantum noise, which enable researchers an... |
quantumcomputing/17894_d2459b6037275255_39.txt | As depicted in Extended Data Fig. 3a, we collect an average of about 50 photons per imaged atom. To avoid losing the atoms too quickly during mid-circuit imaging (which, unlike our global imaging scheme, does not have multi-axis cooling), we use deep (roughly 5-mK) traps (helping retain the atoms) and stroboscopically ... |
quantumcomputing/34011_97a166cde10c3127_116.txt | **Publisher D****escription:** Presenting a completely new approach to examining how polymers move in non-dilute solution, this book focuses on experimental facts, not theoretical speculations, and concentrates on polymer solutions, not dilute solutions or polymer melts. From centrifugation and solvent dynamics to visc... |
quantumcomputing/c760e186_118697.txt | In this work, we have presented a technique called resolution refinement that allows one to bootstrap eigenstate preparation. We start with an eigenstate of a low-resolution Hamiltonian and lift the eigenstate to a high-resolution space. Adiabatic evolution is then used to prepare the corresponding eigenstate of a high... |
quantumcomputing/32894_c65187f488c01dde_83.txt | We consider the problem of computing the $1$-Wasserstein distance $\mathcal{W}(\mu,\nu)$ between two $d$-dimensional discrete distributions $\mu$ and $\nu$ whose support lie within the unit hypercube. There are several algorithms that estimate $\mathcal{W}(\mu,\nu)$ within an additive error of $\varepsilon$. However, w... |
quantumcomputing/9073_a8a638dc956ff973_165.txt | It is always one of the most crucial challenges in the study of many-body problems that the dimensionality of the Hilbert space grows exponentially with the system size, which leads to tremendous difficulty to solve the Shrödinger equations. Among the modern numerical techniques designed to study the complicated system... |
quantumcomputing/17894_a8a638dc956ff973_152.txt | In ref. 451 the authors introduced the conditional generative adversarial network (CGAN) based QST as in the standard GAN approach there is no control over the output as the generator input is random which can be addressed using CGAN. Because of the improved control over the output, CGAN led to many diverse application... |
quantumcomputing/24212_8f631342375c1193_23.txt | The local structure of biological networks can be studied by "counting" network motifs. Although the number of possible motifs with 8 or more nodes becomes overwhelming, it is possible to study large-size network patterns if we focus on specific motifs such as cycles. Cycles are interesting because in directed graphs t... |
quantumcomputing/1629_3abeac199875c936_641.txt | 6.1.3 No-Bit Commitment Bit–Commitment Protocol Suppose that, in a cryptography protocol (Sect. 3.3.6), Alice has a bit in mind to send and she wishes to provide Bob with a piece of evidence that (i) she has already chosen the bit to send and (ii) cannot change it after such a choice. Meanwhile, Bob should not be able ... |
quantumcomputing/92c9de1f_119359.txt | 1 2 n x 0 2 n 1 ( 1 ) f ( x ) 1 2 n y 0 2 n 1 ( 1 ) x y y y 0 2 n 1 1 2 n x 0 2 n 1 ( 1 ) f ( x ) ( 1 ) x y y . displaystyle frac 1 sqrt 2 n sum _ x 0 2 n -1 (-1) f(x) left frac 1 sqrt 2 n sum _ y 0 2 n -1 left(-1 right) x cdot ... |
quantumcomputing/20712_178754fff311c8b6_196.txt | Fourth, in filling scarce academic vacancies, professors of super-strong, passionate political ideology, whether on the left or right, should usually be avoided. So also for students. Best-form multidisciplinarity requires an objectivity such passionate people have lost, and a difficult synthesis is not likely to be ac... |
quantumcomputing/22108_db9c0f2f4b6f960d_1186.txt | The Unified Electro-Gravity (UEG) theory is extended for the unique conditions of cosmology, which may support a possible reversal of the current expansionary phase of the universe, explain the current accelerated expansion of the universe without need for any dark energy, and also explain the signatures of the baryon ... |
quantumcomputing/9769_2ed2d1df17fe28a3_15.txt | Mateus Araújo #15 (and also Primer #16): As I should’ve said in the original post, I completely agree with you that there are excellent, known reasons why the universe shouldn’t have been based on classical, *continuous-all-the-way-down* physics, ranging from singularities to various computational pathologies. But that... |
quantumcomputing/eaf6adb1_118518.txt | 1. quantum Key distribution (QKD): One of the fundamental building blocks of quantum cryptography is QKD. It enables two parties, commonly referred to as Alice and Bob, to securely exchange cryptographic keys over an insecure channel. The process involves encoding information onto individual photons and transmitting th... |
quantumcomputing/33692_723fd0fbfe5d7a11_554.txt | ``` @phdthesis{hadzihasanovic2017algebra, author = {Hadzihasanovic, Amar}, title = {The algebra of entanglement and the geometry of composition}, year = {2017}, school = {University of Oxford}, urldate = {2017-09-23}, link = {https://arxiv.org/abs/1709.08086}, keywords = {ZW-Calculus, Completeness, Rings, PhD Thesis}, ... |
quantumcomputing/6436_184d3f0af3fe5585_107.txt | Hitting seven lucky qubits in hardware In 2000, quantum computing research continued to advance. However, scientists were still using various materials to perform computations; they weren’t building machines for quantum computing anything like those we see today. The highest qubit count up to that point was created by ... |
quantumcomputing/9f27a66c_126054.txt | As expected, the decomposition itself took the most time more than 10 times that of any other part. This is because of the considerable mathematical decompositions and the number of matrix operations. One of the algorithms used in the decomposition is eigenvalue decomposition, which is an iterative algorithm that requi... |
quantumcomputing/13334_db9c0f2f4b6f960d_2595.txt | Potential time trends for water levels in Lake Athabasca, Canada, were investigated with particular emphasis on a critical examination of the available hydrometric record and other confounding factors mitigating against reliable trend detection on this sytem. Four hydrometric stations are available on Lake Athbasca, bu... |
quantumcomputing/22087_723fd0fbfe5d7a11_6.txt | Quantum computing is an emerging computational paradigm with the potential to outperform classical computers in solving a variety of problems. To achieve this, quantum programs are typically represented as quantum circuits, which must be optimized and adapted for target hardware through quantum circuit compilation. We ... |
quantumcomputing/11871_f5b0288e0ea8c1ae_265.txt | [RAU 07b] R AUSSENDORF R., H ARRINGTON J., G OYAL K., “Topological fault-tolerance in cluster state quantum computation”, New Journal of Physics, vol. 9, Art. no. 199, 2007. [RAU 12] R AUSSENDORF R., “Key ideas in quantum error correction”, Philosophical Transactions of the Royal Society A: Mathematical, Physical and E... |
quantumcomputing/32894_c65187f488c01dde_413.txt | Skip connections and normalisation layers form two standard architectural components that are ubiquitous for the training of Deep Neural Networks (DNNs), but whose precise roles are poorly understood. Recent approaches such as Deep Kernel Shaping have made progress towards reducing our reliance on them, using insights ... |
quantumcomputing/d68443e2_117731.txt | To live up to its name, a topological quantum computer must provide the unique computation properties promised by a conventional quantum computer design, which uses trapped quantum particles. In 2000, Michael H. Freedman, Alexei Kitaev, Michael J. Larsen, and Zhenghan Wang proved that a topological quantum computer can... |
quantumcomputing/14994_cdd61dafb85483f2_202.txt | ‘Atos Quantum’, the first quantum computing industry program in Europe, was announced in November 2016. Its aim is to anticipate the future of quantum computing and to be prepared for the opportunities and also the risks that come with it: opportunities such as superfast algorithms for database search, artificial intel... |
quantumcomputing/13334_db9c0f2f4b6f960d_902.txt | Dempster-Shafer evidence theory (evidence theory) has been widely used for its great performance of dealing with uncertainty. Based on evidence theory, researchers have presented different methods to combine evidences. Dempster's rule is the most well-known combination method, which has been applied in many fields. How... |
quantumcomputing/2265fca8_1660.txt | A qubit is based on the superposition principle by which it can store intermediate values between 0 and 1. The state of a qubit |ψ⟩ket𝜓\ket{\psi}, can be one of the basis state (|0⟩ket0\ket{0} or |1⟩ket1\ket{1}) or the superposition (linear combination) of (|0⟩ket0\ket{0} and |1⟩ket1\ket{1}) as shown in Eq. (1). where... |
quantumcomputing/9073_a8a638dc956ff973_122.txt | 1. Quantum-neural networks (QNN) have been discussed in Section 3.3. Each such network has three generic components – a data encoding circuit (often called feature map) which accepts classical data as the input and usually encodes them into the amplitudes of a quantum state (other encoding schemes are also possible; se... |
quantumcomputing/c0c707b3_118125.txt | to the title might be well duh who ever thought it didn t? (See this post of mine for a survey of explanations for why quantum mechanics should have involved complex |
quantumcomputing/4554_67376b44df69bab4_163.txt | will revert back to the block diagonal restriction and raise a warning if the used device does not have an additional wire. (#1725) * The `circuit_drawer` module has been renamed `drawer`. (#1949) * The `par_domain` attribute in the operator class has been removed. (#1907) * The `mutable` keyword argument has been remo... |
quantumcomputing/34011_a5801def072ec91c_965.txt | Physical time has an exotic structure. This section explores this structure, emphasizing what mathematicians call its topology. Time’s being structured like a one-dimensional spatial line is probably its most well known topological feature. But is time really like a dimension of space? Yes, if we are to trust Einstein ... |
quantumcomputing/20712_7e71fff451e34d7e_110.txt | 1. freeCodeCamp just published a new book to help you learn Python programming. This book explains core Python concepts through more than 100 code examples. It also shows you how to install the latest version of Python and use it in both VS Code and PyCharm. You'll learn about loops, data types, conditional logic, modu... |
quantumcomputing/8337_03d7507a27b4708c_6.txt | Acknowledgments I am deeply grateful for the unwavering support and invaluable assistance provided by numerous individuals throughout this book’s writing, reviewing, and production. I would especially like to extend my heartfelt appreciation to David DiVincenzo for his overarching insight and thoughtful foreword. Furth... |
quantumcomputing/32894_c65187f488c01dde_987.txt | Proximal splitting algorithms are well suited to solving large-scale nonsmooth optimization problems, in particular those arising in machine learning. We propose a new primal–dual algorithm, in which the dual update is randomized; equivalently, the proximity operator of one of the function in the problem is replaced by... |
quantumcomputing/022d5b31_120215.txt | To measure the state of a superconducting qubit, standard circuit QED setups use dispersive measurement. Here, the qubit is capacitively or inductively coupled to a readout resonator, which allows the determination of the qubit state without perturbing it. |
quantumcomputing/25925_723fd0fbfe5d7a11_268.txt | ``` @article{bombin2023modular, author = {Bomb{\'i}n, H{\'e}ctor and Dawson, Chris and Liu, Ye-Hua and Nickerson, Naomi and Pastawski, Fernando and Roberts, Sam}, title = {{Modular decoding: parallelizable real-time decoding for quantum computers}}, year = {2023}, journal = {arXiv preprint arXiv:2303.04846}, urldate = ... |
quantumcomputing/16341_86077d4a38b44b11_50.txt | [Quantum computing has recently emerged as a transformative technology. Yet, its promised advantages rely on efficiently translating quantum operations into viable physical realizations. In this work, we use generative machine learning models, specifically denoising diffusion models (DMs), to facilitate this transforma... |
quantumcomputing/16776_2ed71ddce2e7681a_76.txt | In 2016, Nussinov et al. also studied ordered glass-like solids, using multi-scale network clustering methods to identify the spatial and spatiotemporal structure of glasses Cubuk et al. (2015 Identifying structural flow defects in disordered solids using machine-learning methods. Phys Rev Lett 114(10):108001")), learn... |
quantumcomputing/11875_543aaf591dd6eb2d_2.txt | This volume contains the papers that were presented at the First International Conference on Microelectronics, Communication Systems, Machine Learning and Internet of Things(MCMI-2020) organized by the Indian Society for VLSI Education (ISVE) and IETE Ranchi Centre with support of BSNL at ARTTC BSNL, Ranchi, during 12–... |
quantumcomputing/2270_2ed2d1df17fe28a3_120.txt | I design a deterministic cellular automaton, and agents in it. The agents can not observe their environment without altering it, which gives rise to some version of Uncertainty Principle, which in turn forces them accept a quantum theory of physics. I am NOT saying that the agents are wrong, and their world is “really”... |
quantumcomputing/796aef33_116835.txt | 2-Design From the definition of t-designs from II.7 , it is sufficient to construct a 2-design for an operationally equivalent action of sampling from the Haar measure for the space U ( N ) 𝑈 𝑁 U(N) italic _U ( italic _N ) . Given the wide class of protocols requiring 2-designs, we will explore approximate 2-design... |
quantumcomputing/2258_ba4096302e7b1742_119.txt | In quantum computing, the efficient optimization of Pauli string decompositions is a crucial aspect for the compilation of quantum circuits for many applications, such as chemistry simulations and quantum machine learning. In this paper, we propose a novel algorithm for the synthesis of trotterized time-evolution opera... |
quantumcomputing/41506_34b0ba78ddd01800_126.txt | The bitmap analogy and its associated notion of supervenience are widely accepted in philosophy, but in our view, two important points are lost. First, the bitmap analogy begs the question against ontological emergence, while we have no good scientific reasons for accepting it. If the world was really like a mosaic of ... |
quantumcomputing/18150_723fd0fbfe5d7a11_228.txt | Recent advances in classical simulation of Clifford+T circuits make use of the ZX calculus to iteratively decompose and simplify magic states into stabiliser terms. We improve on this method by studying stabiliser decompositions of ZX diagrams involving the triangle operation. We show that this technique greatly speeds... |
quantumcomputing/24212_205bac966c2f4ed5_7.txt | The nuclear Hamiltonian is of the form (2.1) where the multi-indices \((\alpha , \beta , \gamma , \delta ) =1,\ldots , N\) label single-particle states characterized by the usual quantum numbers \(n, l, m, \sigma \), as well as an isospin component \(\tau \). These states can for instance be 3-dimensional harmonic osci... |
quantumcomputing/9339_2ed2d1df17fe28a3_174.txt | But this does not really resolve the question. From the CLHS point of view, you would not generalize the theory by moving to the GPT framework because you don’t believe quantum theory is a generalization of probability in the first place. Instead, you would be more likely to alter the Schroedinger equation or maybe the... |
quantumcomputing/3815_fba8fe842a689a83_22.txt | With quantum cryptography, the key is a stream of photons, photons have a property called spin that can be changed as soon as it pass by filter. We have two groups of filers rectilinear ∣↑⟩, ∣→⟩ and diagonal ∣↖⟩, ∣↗⟩. The state of ∣→⟩ and ∣↗⟩ codes 1 while ∣↑⟩ and ∣↖⟩ codes 0. Alice decides whether to encode her random... |
quantumcomputing/24212_723fd0fbfe5d7a11_635.txt | We describe a general framework in which we can precisely compare the structures of quantum-like theories which may initially be formulated in quite different mathematical terms. We then use this framework to compare two theories: quantum mechanics restricted to qubit stabiliser states and operations, and Spekkens's to... |
quantumcomputing/14816_8f631342375c1193_67.txt | An important characteristic of flocks of birds, schools of fish, and many similar assemblies of self-propelled particles is the emergence of states of collective order in which the particles move in the same direction. When noise is added into the system, the onset of such collective order occurs through a dynamical ph... |
quantumcomputing/4628_c2c01ebb412339b8_80.txt | Basic Idea We’ve seen that all it takes to entangle qubits is a couple of gates, for example, the H and CNOT gates. And, as these gates are regularly used in quantum circuits, entangled qubits are more the rule than the exception in our programs. Once qubits are locked into entangled states, it’s impossible to then tra... |
quantumcomputing/0e0a2d53_0189.txt | Definition 2.7 (Constant function) A function \(f :\{0,1\}^n \mapsto \{0,1\}\) is constant if \(f(x)=0 \forall x \in \{0,1\}^n\) or \(f(x)=1 \forall x \in \{0,1\}^n\). Definition 2.8 (Balanced function) A function \(f :\{0,1\}^n \mapsto \{0,1\}\) is balanced if \(f(x)=0\) for half of the inputs and \(f(x)=1\) for the o... |
quantumcomputing/3960_6c2be0a104c001a2_13.txt | You really do have to understand this like a religious view, very much like a Holy Spirit that is the Word, where the “Word” is the prevailing discourses, and the “Spirit” isn’t really holy: it’s systems of power and attempts at their disruption. Power is viewed to work through all people at all times as a result of th... |
quantumcomputing/13334_44b7365178791961_152.txt | MAINGEAR, the leader in premium-quality, high-performance gaming PCs, just dropped the curtain on its new MAINGEAR ZERO Limited Edition. More than a seriously powerful gaming PC; it's a revolution in gaming PC aesthetics and performance. Limited to just 50 units, gamers will need to act fast. At the heart of this marve... |
quantumcomputing/8210b741_123326.txt | 597 Chee-Kong Lee, Jonathan Wei Zhong Lau, Liang Shi, and Leong Chuan Kwek, Simulating Energy Transfer in Molecular Systems with Digital Quantum Computers , Journal of Chemical Theory and Computation 18 3, 1347 (2022) . |
quantumcomputing/38735_ff7da9bf12314062_223.txt | The objective of an optimization problem is to find the best solution from a set of feasible solutions. In a finite-dimensional optimization problem, the choices are from a set of real number variables, called decision variables. The decision variables are labelled x1, x2, . . ., xn. Each possible choice is a point x ¼... |
quantumcomputing/8518_a1ce3104f9b8bc22_1.txt | A bloch sphere is a geometric representation of a quantum state. In the picture above, we represent *|Ψ*⟩ as a vector in 3 dimensional space. We can see three coordinate axes : X,Y,Z which we would be familiar with from high school geometry. In quantum mechanics we call these **basis vectors.** What’s special about bas... |
quantumcomputing/4693_34b0ba78ddd01800_162.txt | In the history of science, we can find several episodes that show how the acceptance of such new frameworks unfolds as a social process. We venture to say it will be similar in quantum theory. Consider, for example, Newton’s theory of gravitation, which posited forces acting at a distance. The notion of a force was tak... |
quantumcomputing/44116_58b87e4807ca5e69_42.txt | One of his topics was “Famous Problems”. The idea was that the same techniques that had been used to show that there is no algorithm for the tenth problem could also be used to show that various well-known problems were equivalent to the non-existence of solutions to certain Diophantine equations. One of Yuri’s letters... |
quantumcomputing/34793_baea7bc0d09df8ad_454.txt | Iconoclastic neurophysiologist Jacobo Grinberg-Zylberbaum presents a psychophysiological theory of consciousness—”The syntergic theory”— which postulates that “the human brain is able to create a hypercomplex field of interactions that are the result of the activation of all its neuronal elements.” He calls this intera... |
quantumcomputing/71d01529_2251.txt | The model employs topological ordering for both graph encoding and reconstruction. During the reconstruction phase, it allows for the selection of edges between the current nodes and any previously created nodes. The model is also trained to learn the appropriate number of incoming and outgoing edges based on the types... |
quantumcomputing/35883_72074f6c23937df5_32.txt | (2025)."), converting the atomic state to position that is then imaged via conventional polarization gradient cooling (PGC). The information about lost atoms does not allow us to correct the state but we can use it for error detection and postselection42."),43."). In particular, for each observable, we use only the exp... |
quantumcomputing/9073_303b46c6a5f64744_43.txt | Note that the API as a whole is not shown in the figure; an API is a collection of endpoints with the contracts offered by them. An API endpoint represents the provider-side end of a communication channel; an API contains at least one such endpoint. Each API endpoint has a unique address such as a Uniform Resource Loca... |
quantumcomputing/25925_723fd0fbfe5d7a11_55.txt | We explore a roughening phase transition that occurs in the entanglement dynamics of certain quantum circuits. Viewing entanglement as the free energy of a membrane in a circuit-defined random environment, there is a competition between membrane smoothing due to lattice pinning and roughening due to disorder in the cir... |
quantumcomputing/41506_34b0ba78ddd01800_190.txt | By measuring the eigenvalues of all stabilizers, which constitute the syndrome, one can detect the error. A bit flip \(X\_2\) on qubit 2 thus leads to an error syndrome of the form \((-, -, +, +, +, +, +, +)\), which is to be compared with \((+, +, +, +, +, +, +, +)\) in the case without a bit flip. Similar relations c... |
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