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Papers

Live trends in quantum computing research, updated daily from arXiv.

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13,711 papers in 12 months (-14% vs prior quarter)

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28,669 papers found

Multiple-basis representation of quantum states

Adri'an P'erez-Salinas, Patrick Emonts, Jordi Tura +1 more·Nov 5, 2024

Classical simulation of quantum physics is a central approach to investigating physical phenomena. Quantum computers enhance computational capabilities beyond those of classical resources, but it remains unclear to what extent existing limited quantu...

Physics

Polynomial-Time Classical Simulation of Noisy Quantum Circuits with Naturally Fault-Tolerant Gates

Jon Nelson, Joel Rajakumar, Dominik Hangleiter +1 more·Nov 4, 2024

We construct a polynomial-time classical algorithm that samples from the output distribution of noisy geometrically local Clifford circuits with any product-state input and single-qubit measurements in any basis. Our results apply to circuits with ne...

Quantum PhysicsComplexity

Schmidt Decomposition of Multipartite States

Mithilesh Kumar·Nov 4, 2024

Quantum states can be written in infinitely many ways depending on the choices of basis. Schmidt decomposition of a quantum state has a lot of properties useful in the study of entanglement. All bipartite states admit Schmidt decomposition, but this ...

Quantum PhysicsMathematical Physics

Modelling Realistic Multi-layer devices for superconducting quantum electronic circuits

Giuseppe Colletta, Susan Johny, Jonathan A. Collins +2 more·Nov 4, 2024

In this work, we present a numerical model specifically designed for 3D multilayer devices, with a focus on nanobridge junctions and coplanar waveguides. Unlike existing numerical models, ours does not approximate the physical layout or limit the num...

Quantum Physicscond-mat.supr-con

An Exponential Separation Between Quantum and Quantum-Inspired Classical Algorithms for Linear Systems

Allan Grønlund, Kasper Green Larsen·Nov 4, 2024

Achieving a provable exponential quantum speedup for an important machine learning task has been a central research goal since the seminal HHL quantum algorithm for solving linear systems and the subsequent quantum recommender systems algorithm by Ke...

Quantum PhysicsComplexityData Structurescs.LG

On the Quantum Theory of Molecules: Rigour, Idealization, and Uncertainty

Nick Huggett, James Ladyman, Karim P. Y. Thébault·Nov 4, 2024

Philosophers have claimed that: (a) Born-Oppenheimer approximation methods for solving molecular Schrödinger equations violate the Heisenberg uncertainty relations; therefore, (b) `quantum chemistry' is not fully quantum; and (c) therefore chemistry ...

Quantum Physicsphysics.hist-ph

Magic states are rarely the best resource to optimize: An analytical tool for qubit resource estimation in concatenated codes

Marco Fellous-Asiani, Hui Khoon Ng, Robert S. Whitney·Nov 4, 2024

Concatenated error-correction schemes are well-understood routes to fault-tolerant quantum computing, and research on such schemes continues, including recent claims that they may be competitive with surface codes, and show potential when combined wi...

Quantum PhysicsMesoscale Physics

Optimal recoil-free state preparation in an optical atom tweezer

Lia Kley, Nicolas Heimann, Aslam Parvej +2 more·Nov 4, 2024

Quantum computing in atom tweezers requires high-fidelity implementations of quantum operations. Here, we demonstrate the optimal implementation of the transition $|0\rangle \rightarrow |1\rangle$ of two levels, serving as a qubit, of an atom in a tw...

Physics

Tolerant Quantum Junta Testing

Zhaoyang Chen, Lvzhou Li, Jingquan Luo·Nov 4, 2024

Junta testing for Boolean functions has sparked a long line of work over recent decades in theoretical computer science, and recently has also been studied for unitary operators in quantum computing. Tolerant junta testing is more general and challen...

Physics

Multipartite entanglement structures in quantum stabilizer states

Vaibhav Sharma, Erich J. Mueller·Nov 4, 2024

We develop a method for visualizing the internal structure of multipartite entanglement in pure stabilizer states. Our algorithm graphically organizes the many-body correlations in a hierarchical structure. This provides a rich taxonomy from which on...

Physics

Resource-optimized fault-tolerant simulation of the Fermi-Hubbard model and high-temperature superconductor models

A. Kan, Benjamin C. B. Symons·Nov 4, 2024

Exploring low-cost applications is paramount to creating value in early fault-tolerant quantum computers. Here, we optimize both gate and qubit counts of recent algorithms for simulating the Fermi-Hubbard model. We further devise and compile algorith...

Physics

Quantum Linear System Solvers: A Survey of Algorithms and Applications

Mauro E. S. Morales, Lirande Pira, Philipp Schleich +7 more·Nov 4, 2024

Solving linear systems of equations plays a fundamental role in numerous computational problems from different fields of science. The widespread use of numerical methods to solve these systems motivates investigating the feasibility of solving linear...

Physics

Quantum Approximate Counting with Additive Error: Hardness and Optimality

Mason L. Rhodes, Samuel Slezak, Anirban Narayan Chowdhury +1 more·Nov 4, 2024

Quantum counting is the task of determining the dimension of the subspace of states that are accepted by a quantum verifier circuit. It is the quantum analog of counting the number of valid solutions to NP problems -- a problem well-studied in theore...

Physics

Information plane and compression-gnostic feedback in quantum machine learning

Nathan Haboury, Mohammad Kordzanganeh, Alexey A. Melnikov +1 more·Nov 4, 2024

The information plane (Tishby et al. arXiv:physics/0004057, Shwartz-Ziv et al. arXiv:1703.00810) has been proposed as an analytical tool for studying the learning dynamics of neural networks. It provides quantitative insight on how the model approach...

PhysicsComputer Science

Scalable quantum simulations of scattering in scalar field theory on 120 qubits

Nikita A. Zemlevskiy·Nov 4, 2024

Simulations of collisions of fundamental particles on a quantum computer are expected to have an exponential advantage over classical methods and promise to enhance searches for new physics. Furthermore, scattering in scalar field theory has been sho...

Physics

Entanglement area law in interacting bosons: from Bose-Hubbard, $\phi$4, and beyond

Donghoon Kim, Tomotaka Kuwahara·Nov 4, 2024

The entanglement area law is a universal principle that characterizes the information structure in quantum many-body systems and serves as the foundation for modern algorithms based on tensor network representations. Historically, the area law has be...

PhysicsMathematics

Bethe Ansatz, quantum circuits, and the F-basis

Roberto Ruiz, A. Sopena, Esperanza L'opez +2 more·Nov 4, 2024

The Bethe Ansatz is a method for constructing exact eigenstates of quantum-integrable spin chains. Recently, deterministic quantum algorithms, referred to as “algebraic Bethe circuits”, have been developed to prepare Bethe states for the spin-1/21/2 ...

PhysicsMathematics

Assessing Superposition-Targeted Coverage Criteria for Quantum Neural Networks

Minqi Shao, Jianjun Zhao·Nov 3, 2024

Quantum Neural Networks (QNNs) have achieved initial success in various tasks by integrating quantum computing and neural networks. However, growing concerns about their reliability and robustness highlight the need for systematic testing. Unfortunat...

Quantum Physicscs.LG

Differentiable Quantum Computing for Large-scale Linear Control

C. Clayton, J. Leng, Gengzhi Yang +3 more·Nov 3, 2024

As industrial models and designs grow increasingly complex, the demand for optimal control of large-scale dynamical systems has significantly increased. However, traditional methods for optimal control incur significant overhead as problem dimensions...

Computer SciencePhysicsMathematics

Dimension Independent and Computationally Efficient Shadow Tomography

Pulkit Sinha·Nov 3, 2024

We describe a new shadow tomography algorithm that uses n=Θ(√mlogm/є2) samples, for m measurements and additive error є, which is independent of the dimension of the quantum state being learned. This stands in contrast to all previously known algorit...

PhysicsComputer Science
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