Quantum simulation of dynamical phase transitions in noisy quantum devices

authored by: Younes Javanmard, Ugne Liaubaite, Tobias J. Osborne, Luis Santos
Abstract: Zero-noise extrapolation provides an especially useful error mitigation method for noisy intermediate-scale quantum devices. Our analysis, based on matrix product density operators, of the transverse-field Ising model with depolarizing noise, reveals both advantages and inherent problems associated with zero-noise extrapolation when simulating non-equilibrium many-body dynamics. On the one hand, interestingly, noise alters systematically the behavior of the Loschmidt echo at the dynamical phase transition times, doubling the number of non-analytic points, and hence inducing an error that, inherently, cannot be mitigated. On the other, zero-noise extrapolation may be employed to recover quantum revivals of the Loschmidt echo, which would be completely missed in the absence of mitigation, and to retrieve faithfully noise-free inter-site correlations. Our results, which are in good agreement with those obtained using quantum simulators, reveal the potential of matrix product density operators for the investigation of the performance of quantum devices with a large number of qubits and deep noisy quantum circuits.
Organisation(s): Institute of Theoretical Physics
QUEST-Leibniz Research School
Type: Preprint
Publication date: 15.11.2022
Publication status: Published
Electronic version(s): https://doi.org/10.48550/arXiv.2211.08318 (Access: Open)

BibTeX

@techreport{31ea0205af744637aa07d1c4bdc59e06,
title = "Quantum simulation of dynamical phase transitions in noisy quantum devices",
abstract = "Zero-noise extrapolation provides an especially useful error mitigation method for noisy intermediate-scale quantum devices. Our analysis, based on matrix product density operators, of the transverse-field Ising model with depolarizing noise, reveals both advantages and inherent problems associated with zero-noise extrapolation when simulating non-equilibrium many-body dynamics. On the one hand, interestingly, noise alters systematically the behavior of the Loschmidt echo at the dynamical phase transition times, doubling the number of non-analytic points, and hence inducing an error that, inherently, cannot be mitigated. On the other, zero-noise extrapolation may be employed to recover quantum revivals of the Loschmidt echo, which would be completely missed in the absence of mitigation, and to retrieve faithfully noise-free inter-site correlations. Our results, which are in good agreement with those obtained using quantum simulators, reveal the potential of matrix product density operators for the investigation of the performance of quantum devices with a large number of qubits and deep noisy quantum circuits.",
keywords = "quant-ph, cond-mat.str-el",
author = "Younes Javanmard and Ugne Liaubaite and Osborne, {Tobias J.} and Luis Santos",
year = "2022",
month = nov,
day = "15",
doi = "10.48550/arXiv.2211.08318",
language = "English",
type = "WorkingPaper",
}