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Quantum Simulation

Phase Transitions in the Classical Simulability of Open Quantum Systems

arXiv

Authors: F. Azad, A. Hallam, J. Morley, A. G. Green

Year

2021

Paper ID

6899

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

Abstract

We study the evolution of an open quantum system using a Langevin unravelling of the density matrix evolution over matrix product states. As the strength of coupling to and temperature of the environment is increased, we find a transition where the entanglement of the individual trajectories saturates, permitting a classical simulation of the system for all times. This is the Hamiltonian open system counterpart of the saturation in entanglement found in random circuits with projective or weak measurements. If a system is open, there is a limit to the advantage in simulating its behaviour on a quantum computer, even when that evolution harbours important quantum effects.

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We study the evolution of an open quantum system using a Langevin unravelling of the density matrix evolution over matrix product states.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2111.06408 [2] arXiv https://arxiv.org/abs/2111.06408 [3] Publisher https://arxiv.org/abs/2111.06408

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