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The Mpemba effect -- where hot systems cool faster than colder ones -- has intrigued both classical and quantum thermodynamics. As compared to classical systems, quantum systems add complexity due to quantum correlations. Recent works have…

Quantum Physics · Physics 2025-12-01 Stefano Longhi

In this paper, a hybrid quasi-static atomistic simulation method at finite temperature is developed, which combines the advantages of MD for thermal equilibrium and atomic-scale finite element method (AFEM) for efficient equilibration. Some…

Atomic Physics · Physics 2015-06-17 Ran Xu , Bin Liu

We propose and analyze a stabilizing iteration scheme for the algorithmic implementation of model predictive control for linear discrete-time systems. Polytopic input and state constraints are considered and handled by means of so-called…

Optimization and Control · Mathematics 2016-04-07 Christian Feller , Christian Ebenbauer

Deep learning applications require global optimization of non-convex objective functions, which have multiple local minima. The same problem is often found in physical simulations and may be resolved by the methods of Langevin dynamics with…

Machine Learning · Statistics 2021-05-24 Oleksandr Borysenko , Maksym Byshkin

Performing thermodynamic tasks within finite time while minimizing thermodynamic costs is a central challenge in stochastic thermodynamics. Here, we develop a unified framework for optimizing the thermodynamic cost of performing various…

Statistical Mechanics · Physics 2025-09-16 Kaito Tojo , Rihito Nagase , Ken Funo , Takahiro Sagawa

We investigate and ascertain the ideal inputs to any finite-time thermodynamic process. We demonstrate that the expectation values of entropy flow, heat, and work can all be determined via Hermitian observables of the initial state. These…

Quantum Physics · Physics 2023-05-02 Paul M. Riechers , Chaitanya Gupta , Artemy Kolchinsky , Mile Gu

Quantum simulation is one of the most promising scientific applications of quantum computers. Due to decoherence and noise in current devices, it is however challenging to perform digital quantum simulation in a regime that is intractable…

Chain-mapping techniques in combination with the time-dependent density matrix renormalization group are a powerful tool for the simulation of open-system quantum dynamics. For finite-temperature environments, however, this approach suffers…

Quantum Physics · Physics 2019-09-02 Dario Tamascelli , Andrea Smirne , James Lim , Susana F. Huelga , Martin B. Plenio

We investigate the thermalization of a stochastic system with discrete phase space, initially at equilibrium at temperature $T_i$ and then termalizing in an environment at temperature $T_f$ , considering both cases $T_i > T_f$ and $T_i <…

Statistical Mechanics · Physics 2025-08-05 A. Imparato

Quantum annealing has garnered significant attention as meta-heuristics inspired by quantum physics for combinatorial optimization problems. Among its many applications, nonnegative/binary matrix factorization stands out for its complexity…

Quantum Physics · Physics 2025-01-07 Renichiro Haba , Masayuki Ohzeki , Kazuyuki Tanaka

In this paper we develop a quantum algorithm to realize finite temperature simulation on a quantum computer. As quantum computers use real-time evolution we did not use the imaginary time methods popular on classical algorithms. Instead, we…

Quantum Physics · Physics 2019-11-11 Raffaele Miceli , Michael McGuigan

We develop a framework for warm-starting Bayesian optimization, that reduces the solution time required to solve an optimization problem that is one in a sequence of related problems. This is useful when optimizing the output of a…

Machine Learning · Statistics 2016-08-12 Matthias Poloczek , Jialei Wang , Peter I. Frazier

We investigate the relaxation dynamics of open non-integrable quantum many-body systems in the thermodynamic limit by using a tensor-network formalism. We simulate the Lindblad quantum master equation (LQME) of infinite systems by making…

Statistical Mechanics · Physics 2021-04-21 Hayate Nakano , Tatsuhiko Shirai , Takashi Mori

The energy cost of computation has emerged as a central challenge at the intersection of physics and computer science. Recent advances in statistical physics -- particularly in stochastic thermodynamics -- enable precise characterizations…

Statistical Mechanics · Physics 2025-10-07 Jinghao Lyu , Kyle J. Ray , James P. Crutchfield

Optimization is finding the best solution, which mathematically amounts to locating the global minimum of some cost function. Optimization is traditionally automated with digital or quantum computers, each having their limitations and none…

Statistical Mechanics · Physics 2021-11-16 Natalia B. Janson , Christopher J. Marsden

Increasingly volatile electricity prices make simultaneous scheduling optimization desirable for production processes and their energy systems. Simultaneous scheduling needs to account for both process dynamics and binary on/off-decisions…

Optimization and Control · Mathematics 2022-07-28 Florian Joseph Baader , André Bardow , Manuel Dahmen

Rapid robot motion generation is critical in Human-Robot Collaboration (HRC) systems, as robots need to respond to dynamic environments in real time by continuously observing their surroundings and replanning their motions to ensure both…

Robotics · Computer Science 2025-10-07 Sibo Tian , Minghui Zheng , Xiao Liang

The rising computational demand of modern workloads has renewed interest in energy-efficient paradigms such as neuromorphic and analog computing. A fundamental operation in these systems is matrix-vector multiplication (MVM), ubiquitous in…

Mesoscale and Nanoscale Physics · Physics 2026-01-29 Caio Silva , Giuseppe Romano

Quantum thermometry provides a key capability for nanoscale devices and quantum technologies, but most existing strategies rely on probes initialized near equilibrium. This equilibrium paradigm imposes intrinsic limitations: sensitivity is…

Quantum Physics · Physics 2026-01-09 Pritam Chattopadhyay , Jonas F. G. Santos , Avijit Misra

We develop a physics-based model for classical computation based on autonomous quantum thermal machines. These machines consist of few interacting quantum bits (qubits) connected to several environments at different temperatures. Heat flows…

Quantum Physics · Physics 2025-03-06 Patryk Lipka-Bartosik , Martí Perarnau-Llobet , Nicolas Brunner