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Quantum annealing is a promising algorithm for solving combinatorial optimization problems. However, various hardware restrictions significantly impede its efficient performance. Size-reduction methods provide an effective approach for…

Statistical Mechanics · Physics 2025-07-22 Tomohiro Hattori , Hirotaka Irie , Tadashi Kadowaki , Shu Tanaka

We consider a linear quench from the paramagnetic to ferromagnetic phase in the quantum Ising chain interacting with a static spin environment. Both decoherence from the environment and non-adiabaticity of the evolution near a critical…

Quantum Physics · Physics 2016-09-08 Lukasz Cincio , Jacek Dziarmaga , Jakub Meisner , Marek M. Rams

Quantum annealing is a generic solver of classical optimization problems that makes full use of quantum fluctuations. We consider work statistics given by a repetition of quantum annealing processes by employing the Jarzynski equality…

Disordered Systems and Neural Networks · Physics 2015-05-27 Masayuki Ohzeki , Hidestoshi Nishimori

We consider quantum interferences of classically allowed or forbidden electronic trajectories in disordered dielectrics. Without assuming a directed path approximation, we represent a strongly disordered elastic scatterer by its…

Condensed Matter · Physics 2009-10-22 Yshai Avishai , Jean-Louis Pichard , Khandker A. Muttalib

We theoretically study the magnetoelectric coupling in a quantum anomalous Hall insulator state induced by interfacing a dynamic magnetization texture to a topological insulator. In particular, we propose that the quantum anomalous Hall…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 Pramey Upadhyaya , Yaroslav Tserkovnyak

Quantum nondemolition (QND) measurements are a precious resource for quantum information processing. Repetitive QND measurements can boost the fidelity of qubit preparation and measurement, even when the underlying single-shot measurements…

Some of the most problematic issues that limit the implementation of applications on Noisy Intermediate Scale Quantum (NISQ) machines are the adverse impacts of both incoherent and coherent errors. We conducted an in-depth study of coherent…

Quantum annealing in a real device is necessarily susceptible to errors due to diabatic transitions and thermal noise. Nested quantum annealing correction is a method to suppress errors by using an all-to-all penalty coupling among a set of…

Quantum Physics · Physics 2019-06-19 Shunji Matsuura , Hidetoshi Nishimori , Walter Vinci , Daniel A. Lidar

We study the melting of domain walls in the ferromagnetic phase of the transverse Ising chain, created by flipping the order-parameter spins along one-half of the chain. If the initial state is excited by a local operator in terms of…

Statistical Mechanics · Physics 2017-01-02 Viktor Eisler , Florian Maislinger , Hans Gerd Evertz

Understanding how quantum materials return to equilibrium after being driven into excited states is a fundamental problem in condensed matter physics. A prototypical material, 1T-TaS$_2$, exhibits complex electronic textures made up of…

Quantum Physics · Physics 2026-01-01 Jaka Vodeb

Quantum annealing (QA) refers to an optimization process that uses quantum fluctuations to find the global minimum of a rugged energy landscape with many local minima. Conceptually, QA is often framed in the context of the disordered…

Strongly Correlated Electrons · Physics 2021-05-27 S. Säubert , C. L. Sarkis , F. Ye , G. Luke , K. A. Ross

The quantum phase transitions provide a paradigm for studying collective quantum phenomena that are a result of competing non-commuting interactions. This paper will study the ground state properties and quantum critical dynamics of the…

Quantum Physics · Physics 2026-01-27 Rudraksh Sharma

Classically, no transfer occurs between two equally filled reservoirs no matter how one looks at them, but the situation can be different quantum mechanically. This paradoxically surprising phenomenon rests on the distinctive property of…

Quantum Physics · Physics 2015-06-19 Antoine Tilloy , Michel Bauer , Denis Bernard

Drawing independent samples from high-dimensional probability distributions represents the major computational bottleneck for modern algorithms, including powerful machine learning frameworks such as deep learning. The quest for discovering…

Quantum Physics · Physics 2022-10-13 Marc Vuffray , Carleton Coffrin , Yaroslav A. Kharkov , Andrey Y. Lokhov

We consider spin models on complex networks frequently used to model social and technological systems. We study the annealed ferromagnetic Ising model for random networks with either independent edges (Erd\H{o}s-R\'enyi), or with prescribed…

Disordered Systems and Neural Networks · Physics 2021-12-07 Van Hao Can , Cristian Giardinà , Claudio Giberti , Remco van der Hofstad

The use of quantum annealers in black-box optimization to obtain the desired properties of a product with a small number of trials has attracted attention. However, the application of this technique to engineering design problems is still…

We study experimentally the spatial distribution of quantum noise in the twin beams produced by a type II Optical Parametric Oscillator operating in a confocal cavity above threshold. The measured intensity correlations are at the same time…

Quantum Physics · Physics 2009-11-07 Marcello Martinelli , Nicolas Treps , Sara Ducci , Sylvain Gigan , Agnes Maitre , Claude Fabre

The performance of open-system quantum annealing is adversely affected by thermal excitations out of the ground state. While the presence of energy gaps between the ground and excited states suppresses such excitations, error correction…

Quantum Physics · Physics 2017-02-09 Shunji Matsuura , Hidetoshi Nishimori , Walter Vinci , Tameem Albash , Daniel A. Lidar

Recently B. Derrida [Phys. Rev. E 55, 3705 (1997)] introduced a numerical technique that allows one to measure the fraction of persistent spins in a coarsening nonequilibrium system at finite temperature. In the present work we extend this…

Statistical Mechanics · Physics 2009-10-30 Haye Hinrichsen , Mickael Antoni

Nonlinear diffusion is studied in the presence of multiplicative noise. The nonlinearity can be viewed as a ``wall'' limiting the motion of the diffusing field. A dynamic phase transition occurs when the system ``unbinds'' from the wall.…

Statistical Mechanics · Physics 2009-10-30 M. A. Muñoz , T. Hwa