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In three spatial dimensions, particles are limited to either bosonic or fermionic statistics. Two-dimensional systems, on the other hand, can support anyonic quasiparticles exhibiting richer statistical behaviours. An exciting proposal for…

Quantum Physics · Physics 2011-12-13 James R. Wootton , Ville Lahtinen , Benoit Doucot , Jiannis K. Pachos

A big open question in the quantum information theory concerns feasibility of a self-correcting quantum memory. A quantum state recorded in such memory can be stored reliably for a macroscopic time without need for active error correction…

Quantum Physics · Physics 2013-11-15 Sergey Bravyi , Jeongwan Haah

Storing quantum information for long times without disruptions is a major requirement for most quantum information technologies. A very appealing approach is to use self-correcting Hamiltonians, i.e. tailoring local interactions among the…

Quantum Physics · Physics 2011-02-01 Fernando Pastawski , Lucas Clemente , Juan Ignacio Cirac

The possibility of quantum computation using non-Abelian anyons has been considered for over a decade. However the question of how to obtain and process information about what errors have occurred in order to negate their effects has not…

Quantum Physics · Physics 2014-04-02 James R. Wootton , Jan Burri , Sofyan Iblisdir , Daniel Loss

Imaginary-time evolution plays an important role in algorithms for computing ground-state and thermal equilibrium properties of quantum systems, but can be challenging to simulate on classical computers. Many quantum algorithms for…

Quantum Physics · Physics 2025-07-22 Annie Ray , Esha Swaroop , Ningping Cao , Michael Vasmer , Anirban Chowdhury

We study the resilience of the surface code to decoherence caused by the presence of a bosonic bath. This approach allows us to go beyond the standard stochastic error model commonly used to quantify decoherence and error threshold…

Quantum Physics · Physics 2013-08-02 P. Jouzdani , E. Novais , E. R. Mucciolo

Simulating non-equilibrium phenomena in strongly-interacting quantum many-body systems, including thermalization, is a promising application of near-term and future quantum computation. By performing experiments on a digital quantum…

Quantum Physics · Physics 2025-09-19 Niklas Mueller , Tianyi Wang , Or Katz , Zohreh Davoudi , Marko Cetina

We present quantitative predictions for quantum simulator experiments on Ising models from trapped ions to Rydberg chains and show how the thermalization, and thus decoherence times, can be controlled by considering common, independent, and…

Quantum Gases · Physics 2019-07-30 Daniel Jaschke , Lincoln D. Carr , Ines de Vega

The advent of quantum computing has heralded a renewed interest in physical memories - physically realizable structures that offer reliable data storage with error correction only at the point of access. Here, we examine a model of a…

Quantum Physics · Physics 2012-01-09 Francesca Valery Day , Sean Barrett

To use quantum systems for technological applications we first need to preserve their coherence for macroscopic timescales, even at finite temperature. Quantum error correction has made it possible to actively correct errors that affect a…

Quantum Physics · Physics 2017-03-24 Benjamin J. Brown , Daniel Loss , Jiannis K. Pachos , Chris N. Self , James R. Wootton

We present an error correcting protocol that enhances the lifetime of stabilizer code based qubits which are susceptible to the creation of pairs of localized defects (due to string-like error operators) at finite temperature, such as the…

Quantum Physics · Physics 2017-07-19 C. Daniel Freeman , C. M. Herdman , K. B. Whaley

We study the behaviour of linear and nonlinear spectroscopic quantities in two-dimensional topologically ordered systems, which host anyonic excitations exhibiting fractional statistics. We highlight the role that braiding phases between…

Strongly Correlated Electrons · Physics 2024-02-12 Max McGinley , Michele Fava , S. A. Parameswaran

After having developed a method that measures real time evolution of quantum systems at a finite temperature, we present here the simplest field theory where this scheme can be applied to, namely the 1+1 Ising model. We will compute the…

High Energy Physics - Theory · Physics 2016-09-06 E. Mendel

Two-dimensional systems such as quantum spin liquids or fractional quantum Hall systems exhibit anyonic excitations that possess more general statistics than bosons or fermions. This exotic statistics makes it challenging to solve even a…

Strongly Correlated Electrons · Physics 2023-08-24 Nico Kirchner , Darragh Millar , Babatunde M. Ayeni , Adam Smith , Joost K. Slingerland , Frank Pollmann

We propose a scheme to dynamically realize a quantum memory based on the toric code. The code is generated from qubit systems with typical two-body interactions (Ising, XY, Heisenberg) using periodic, NMR-like, pulse sequences. It allows…

Quantum Physics · Physics 2013-05-01 Daniel Becker , Tetsufumi Tanamoto , Adrian Hutter , Fabio L. Pedrocchi , Daniel Loss

We present an analysis of the relaxation dynamics of finite-size topological qubits in contact with a thermal bath. Using a continuous-time Monte Carlo method, we explicitly compute the low-temperature nonequilibrium dynamics of the toric…

Statistical Mechanics · Physics 2014-12-08 C. Daniel Freeman , C. M. Herdman , Dylan J Gorman , K. B. Whaley

Recently, it has become apparent that the thermal stability of topologically ordered systems at finite temperature, as discussed in condensed matter physics, can be studied by addressing the feasibility of self-correcting quantum memory, as…

Quantum Physics · Physics 2015-03-19 Beni Yoshida

We discuss the amplification of loop corrections in quantum many-body systems through dynamical instabilities. As an example, we investigate both analytically and numerically a two-component ultracold atom system in one spatial dimension.…

Quantum Gases · Physics 2017-07-05 Torsten V. Zache , Valentin Kasper , Jürgen Berges

A two-dimensional topologically ordered quantum memory is well protected against error if the energy gap is large compared to the temperature, but this protection does not improve as the system size increases. We review and critique some…

Quantum Physics · Physics 2015-03-11 Olivier Landon-Cardinal , Beni Yoshida , David Poulin , John Preskill

Quantum many-body dynamics generically results in increasing entanglement that eventually leads to thermalization of local observables. This makes the exact description of the dynamics complex despite the apparent simplicity of…

Quantum Physics · Physics 2022-10-05 Thomas Klein Kvorning , Loïc Herviou , Jens H. Bardarson