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We present a full quantum error correcting procedure with the semion code: an off-shell extension of the double semion model. We construct open strings operators that recover the quantum memory from arbitrary errors and closed string…

We study two families of quantum models which have been used previously to investigate the effect of topological symmetries in one-dimensional correlated matter. Various striking similarities are observed between certain $\mathbf{Z}_n$…

统计力学 · 物理学 2018-02-09 Peter E. Finch , Michael Flohr , Holger Frahm

We investigated the Ising model on a square lattice with ferro and antiferromagnetic interactions modulated by the quasiperiodic Octonacci sequence in both directions of the lattice. We have applied the Replica Exchange Monte Carlo…

统计力学 · 物理学 2018-01-17 G. A. Alves , M. S. Vasconcelos , T. F. A. Alves

We describe a simple quantum error correcting code built out of a time-dependent transverse field Ising model. The code is similar to a repetition code, but has two advantages: an $N$-qubit code can be implemented with a finite-depth…

量子物理 · 物理学 2022-08-29 Yifan Hong , Jeremy T. Young , Adam M. Kaufman , Andrew Lucas

We consider the stochastic dynamics of Ising ferromagnets (either pure or random) near zero temperature. The master equation satisfying detailed balance can be mapped onto a quantum Hamiltonian which has an exact zero-energy ground state…

统计力学 · 物理学 2013-02-27 Cecile Monthus , Thomas Garel

Topological quantum error correction codes are extremely practical, typically requiring only a 2-D lattice of qubits with tunable nearest neighbor interactions yet tolerating high physical error rates p. It is computationally expensive to…

量子物理 · 物理学 2013-05-01 Austin G. Fowler

The statistical mechanics of a one-dimensional Ising model in thermal equilibrium is well-established, textbook material. Yet, when driven far from equilibrium by coupling two sectors to two baths at different temperatures, it exhibits…

统计力学 · 物理学 2014-12-09 Nicholas Borchers , Michel Pleimling , R. K. P. Zia

Coherent storage of quantum information is crucial to many quantum technologies. Long coherence times have been demonstrated in trapped-ion qubits, typically using the hyperfine levels within the ground state of a single ion. However,…

Obtaining dynamics of an interacting quantum many-body system connected to multiple baths initially at different, finite, temperatures and chemical potentials is a challenging problem. This is due to a combination of the prevalence of…

量子物理 · 物理学 2021-07-28 Archak Purkayastha , Giacomo Guarnieri , Steve Campbell , Javier Prior , John Goold

Quantum computers have the potential to advance material design and drug discovery by performing costly electronic structure calculations. A critical aspect of this application requires optimizing the limited resources of the quantum…

Simulation of quantum systems that provide intrinsically fault-tolerant quantum computation is shown to preserve fault tolerance. Errors committed in the course of simulation are eliminated by the natural error-correcting features of the…

量子物理 · 物理学 2007-05-23 Seth Lloyd , Benjamin Rahn , Charlene Ahn

Understanding the impact of gate errors on quantum circuits is crucial to determining the potential applications of quantum computers, especially in the absence of large-scale error-corrected hardware. We put forward analytical arguments,…

量子物理 · 物理学 2026-04-20 Eli Chertkov , Yi-Hsiang Chen , Michael Lubasch , David Hayes , Michael Foss-Feig

Thermal models have proven to be an useful and simple tool used to make theoretical predictions and data analysis in relativistic and ultra-relativistic heavy ion collisions. A new version of these models is presented here, incorporating a…

The spin-boson model, involving spins interacting with a bath of quantum harmonic oscillators, is a widely used representation of open quantum systems. Trapped ions present a natural platform for simulating the quantum dynamics of such…

In this work we study the thermal rectification efficiency, i.e., asymmetric heat flow, of a three-dimensional mass-graded anharmonic lattice of length $N$ and width $W$ by means of nonequilibrium molecular dynamics simulations. The…

统计力学 · 物理学 2021-10-29 M. Romero-Bastida , M. Lindero-Hernández

Emulating thermal observables on a digital quantum computer is essential for quantum simulation of many-body physics. However, thermalization typically requires a large system size due to incorporating a thermal bath, whilst limited…

量子物理 · 物理学 2025-03-12 H. Perrin , T. Scoquart , A. I. Pavlov , N. V. Gnezdilov

We construct two spin models on lattices (both two and three-dimensional) to study the capability of quantum computational power as a function of temperature and the system parameter. There exists a finite region in the phase diagram such…

量子物理 · 物理学 2014-05-19 Tzu-Chieh Wei , Ying Li , Leong Chuan Kwek

We discuss the limit cycle regime of a finite-time quantum Otto cycle with a frictionless two-dimensional anisotropic Ising model as the working fluid. From Onsagers exact equilibrium solution, we first find optimal parameters for the…

统计力学 · 物理学 2025-07-22 S. P. Katoorani , C. Kohlfürst , F. Queisser , G. Schaller , R. Schützhold

We generally study whether or not the information of an open quantum system could be totally erased by its surrounding environment in the long time. For a harmonic oscillator coupled to a bath of a spectral density with zero-value regions,…

量子物理 · 物理学 2015-06-17 C. Y. Cai , Li-Ping Yang , C. P. Sun

Progress in describing thermodynamic phase transitions in quantum systems is obtained by noticing that the Gibbs operator $e^{-\beta H}$ for a two-dimensional (2D) lattice system with a Hamiltonian $H$ can be represented by a…

强关联电子 · 物理学 2016-05-18 Piotr Czarnik , Jacek Dziarmaga , Andrzej M. Oleś
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