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A significant challenge in quantum annealing is to map a real-world problem onto a hardware graph of limited connectivity. If the maximum degree of the problem graph exceeds the maximum degree of the hardware graph, one employs minor…

Quantum Physics · Physics 2019-05-10 Yan-Long Fang , P. A. Warburton

Although quantum computing hardware has evolved significantly in recent years, spurred by increasing industrial and government interest, the size limitation of current generation quantum computers remains an obstacle when applying these…

Quantum Physics · Physics 2020-01-20 Gideon Bass , Max Henderson , Joshua Heath , Joseph Dulny

Annealing schedule control provides new opportunities to better understand the manner and mechanisms by which putative quantum annealers operate. By appropriately modifying the annealing schedule to include a pause (keeping the Hamiltonian…

Quantum Physics · Physics 2021-01-22 Tameem Albash , Jeffrey Marshall

This review article summarizes the requirement of low temperature conditions in existing experimental approaches to quantum computation and quantum simulation.

Quantum Physics · Physics 2021-03-01 Hailong Fu , Pengjie Wang , Zhenhai Hu , Yifan Li , Xi Lin

We investigate the computational efficiency and thermodynamic cost of the D-Wave quantum annealer under reverse-annealing with and without pausing. Our experimental results demonstrate that the combination of reverse-annealing and pausing…

Quantum Physics · Physics 2024-02-27 Tomasz Śmierzchalski , Zakaria Mzaouali , Sebastian Deffner , Bartłomiej Gardas

The area law of the bipartite information measure characterizes one of the most fundamental aspects of quantum many-body physics. In thermal equilibrium, the area law for the mutual information universally holds at arbitrary temperatures as…

Quantum Physics · Physics 2025-08-05 Donghoon Kim , Tomotaka Kuwahara , Keiji Saito

We develop a theory of finite-time scaling for dynamic quantum criticality by considering the competition among an external time scale, an intrinsic reaction time scale and an imaginary time scale arising respectively from an external…

Statistical Mechanics · Physics 2013-03-11 Shuai Yin , Xizhou Qin , Chaohong Lee , Fan Zhong

The third law of thermodynamics has a controversial past and a number of formulations due to Planck, Einstein, and Nernst. It's most accepted version, the unattainability principle, states that "any thermodynamic process cannot reach the…

Quantum Physics · Physics 2019-11-13 Lluis Masanes , Jonathan Oppenheim

Originally formulated for macroscopic machines, the laws of thermodynamics were recently shown to hold for quantum systems coupled to ideal sources of work (external classical fields) and heat (systems at equilibrium). Ongoing efforts have…

Quantum Physics · Physics 2023-06-29 Cyril Elouard , Camille Lombard Latune

We consider a quantum system consisting of a regular chain of elementary subsystems with nearest neighbor interactions and assume that the total system is in a canonical state with temperature $T$. We analyze under what condition the state…

Quantum Physics · Physics 2009-11-11 M. Hartmann , G. Mahler , O. Hess

We demonstrate that quantum mechanics entails a fundamental lower bound on the thermalization time $\tau$ of any system. At finite temperature, we show that $\tau$ is bounded by half the Planckian dissipation time, $\tau \geq \tau_{\rm…

Recently, a programmable quantum annealing machine has been built that minimizes the cost function of hard optimization problems by adiabatically quenching quantum fluctuations. Tests performed by different research teams have shown that,…

Disordered Systems and Neural Networks · Physics 2014-04-14 Helmut G. Katzgraber , Firas Hamze , Ruben S. Andrist

In this dissertation, we explore how quantum annealing (QA) and its applications behave in an open system setting. We give derivations and numerical recipes for effective parallel simulation methods for time-dependent open dynamics of…

Quantum Physics · Physics 2021-07-16 Ka Wa Yip

I describe how real quantum annealers may be used to perform local (in state space) searches around specified states, rather than the global searches traditionally implemented in the quantum annealing algorithm. Such protocols will have…

Quantum Physics · Physics 2017-06-26 Nicholas Chancellor

Let a general quantum many-body system at a low temperature adiabatically cross through the vicinity of the system's quantum critical point. We show that the system's temperature is significantly suppressed due to both the entropy…

Statistical Mechanics · Physics 2009-08-27 Shi-Jian Gu

While the ability to measure low temperatures accurately in quantum systems is important in a wide range of experiments, the possibilities and the fundamental limits of quantum thermometry are not yet fully understood theoretically. Here we…

Quantum Physics · Physics 2019-07-10 Patrick P. Potts , Jonatan Bohr Brask , Nicolas Brunner

Quantum annealing is a generic algorithm using quantum-mechanical fluctuations to search for the solution of an optimization problem. The present paper first reviews the fundamentals of quantum annealing and then reports on preliminary…

Disordered Systems and Neural Networks · Physics 2010-06-10 Masayuki Ohzeki , Hidetoshi Nishimori

Models for quantum absorption refrigerators serve as test beds for exploring concepts and developing methods in quantum thermodynamics. Here, we depart from the minimal, ideal design and consider a generic multilevel model for a quantum…

Quantum Physics · Physics 2019-12-18 Hava Meira Friedman , Dvira Segal

We perform a quantitative analysis of the cooling dynamics of three-level atomic systems interacting with two distinct lasers. Employing sparse-matrix techniques, we find numerical solutions to the fully quantized master equation in steady…

Atomic Physics · Physics 2009-11-13 Josh W. Dunn , J. W. Thomsen , Chris H. Greene , Flavio C. Cruz

We explore the applicability of quantum annealing to the approximation task of curve fitting. To this end, we consider a function that shall approximate a given set of data points and is written as a finite linear combination of…

Optimization and Control · Mathematics 2026-02-27 Philipp Isserstedt , Daniel Jaroszewski , Wolfgang Mergenthaler , Felix Paul , Bastian Harrach