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A challenge in designing self-assembling building blocks is to ensure the target state is both thermodynamically stable and kinetically accessible. These two objectives are known to be typically in competition, but it is not known how to…

软凝聚态物质 · 物理学 2021-07-01 Anthony Trubiano , Miranda Holmes-Cerfon

We explore the quantization of classical models with position-dependent mass (PDM) terms constrained to a bounded interval in the canonical position. This is achieved through the Weyl-Heisenberg covariant integral quantization by properly…

量子物理 · 物理学 2020-12-30 Jean-Pierre Gazeau , Véronique Hussin , James Moran , Kevin Zelaya

Quantum machine learning for classical data is currently perceived to have a scalability problem due to (i) a bottleneck at the point of loading data into quantum states, (ii) the lack of clarity around good optimization strategies, and…

量子物理 · 物理学 2025-01-09 Sonika Johri

This paper serves as a bridge between quantum computing and analogical modeling (a general theory for predicting categories of behavior in varying contexts). Since its formulation in the early 1980s, analogical modeling has been…

量子物理 · 物理学 2007-05-23 Royal Skousen

We derive a "classical-quantum" approximation scheme for a broad class of bipartite quantum systems from fully quantum dynamics. In this approximation, one subsystem evolves via classical equations of motion with quantum corrections, and…

量子物理 · 物理学 2023-06-05 Viqar Husain , Irfan Javed , Sanjeev S. Seahra , Nomaan X

We formulate a thermodynamic theory applicable to both classical and quantum systems. These systems are depicted as thermodynamic system-bath models capable of handling isothermal, isentropic, thermostatic, and entropic processes. Our…

统计力学 · 物理学 2024-06-25 Shoki Koyanagi , Yoshitaka Tanimura

Development of quantum architectures during the last decade has inspired hybrid classical-quantum algorithms in physics and quantum chemistry that promise simulations of fermionic systems beyond the capability of modern classical computers,…

Quantum machine learning has emerged as a promising application domain for near-term quantum hardware, particularly through hybrid quantum-classical models that leverage both classical and quantum processing. Although numerous hybrid…

量子物理 · 物理学 2026-01-09 Dominik Freinberger , Philipp Moser

Variational Quantum Circuits (VQC) lie at the forefront of quantum machine learning research. Still, the use of quantum networks for real data processing remains challenging as the number of available qubits cannot accommodate a large…

量子物理 · 物理学 2024-09-06 G. Maragkopoulos , A. Mandilara , A. Tsili , D. Syvridis

We continue the study of classical and quantum low-density parity check (LDPC) codes from a physical perspective. We focus on constructive approaches and formulate a general framework for systematically constructing codes with various…

量子物理 · 物理学 2024-02-27 Tibor Rakovszky , Vedika Khemani

If we admit that quantum mechanics (QM) is universal theory, then QM should contain also some description of classical mechanical systems. The presented text contains description of two different ways how the mathematical description of…

数学物理 · 物理学 2020-07-28 Pavel Bóna

A simple position probability density formulation is presented for the motion of a particle in a spherically symmetric potential. The approach provides an alternative to Newtonian methods for presentation in an elementary course, and…

物理教育 · 物理学 2007-05-23 Lorenzo J. Curtis , David G. Ellis

On the basis of extensive numerical studies it is argued that there are strong analogies between the probabilistic behavior of quantum systems defined by Hermitian Hamiltonians and the deterministic behavior of classical mechanical systems…

高能物理 - 理论 · 物理学 2010-05-28 Carl M. Bender , Dorje C. Brody , Daniel W. Hook

The ring configurations for classical two-dimensional atoms are calculated within the Thomson model and compared with the results from `exact' numerical simulations. The influence of the functional form of the confinement potential and the…

凝聚态物理 · 物理学 2009-10-28 B. Partoens , F. M. Peeters

A contemporary technological milestone is to build a quantum device performing a computational task beyond the capability of any classical computer, an achievement known as quantum adversarial advantage. In what ways can the entanglement…

量子物理 · 物理学 2020-02-05 Jacob D. Biamonte , Mauro E. S. Morales , Dax Enshan Koh

We present an effective potential that allows quantum thermal expectation values of a position-dependent observable to be estimated as a classical ensemble average of the corresponding function. We follow the approach of Feynman and Hibbs,…

量子物理 · 物理学 2026-02-16 Vijay Ganesh Sadhasivam , Stuart C. Althorpe , Venkat Kapil

We introduce a systematic protocol for constructing quantum Hilbert-space-fragmented Hamiltonians, whose Krylov-sector structure, unlike in classically fragmented models, can be fully resolved only in an entangled basis. The protocol takes…

量子物理 · 物理学 2026-04-27 Yiqiu Han , Oliver Hart , Alexey Khudorozhkov , Rahul Nandkishore

The practical application of quantum technologies to chemical problems faces significant challenges, particularly in the treatment of realistic basis sets and the accurate inclusion of electron correlation effects. A direct approach to…

Quantum reinforcement learning (QRL) models augment classical reinforcement learning schemes with quantum-enhanced kernels. Different proposals on how to construct such models empirically show a promising performance. In particular, these…

While the treatment of chemically relevant systems containing hundreds or even thousands of electrons remains beyond the reach of quantum devices, the development of quantum-classical hybrid algorithms to resolve electronic correlation…