Analog simulation of noisy quantum circuits

Fuente: arXiv
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Autori principali: Granet, Etienne, Hémery, Kévin, Dreyer, Henrik
Natura: Preprint
Pubblicazione: 2024
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author Granet, Etienne
Hémery, Kévin
Dreyer, Henrik
author_facet Granet, Etienne
Hémery, Kévin
Dreyer, Henrik
contents It is well-known that simulating quantum circuits with low but non-zero hardware noise is more difficult than without noise. It requires either to perform density matrix simulations (coming with a space overhead) or to sample over "quantum trajectories" where Kraus operators are inserted randomly (coming with a runtime overhead). We propose a simulation technique based on a representation of hardware noise in terms of trajectories generated by operators that remain close to identity at low noise. This representation significantly reduces the variance over the quantum trajectories, speeding up noisy simulations by factors around $10$ to $100$. As a by-product, we provide a formula to factorize multiple-Pauli channels into a concatenation of single Pauli channels.
format Preprint
id arxiv_https___arxiv_org_abs_2410_08639
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Analog simulation of noisy quantum circuits
Granet, Etienne
Hémery, Kévin
Dreyer, Henrik
Quantum Physics
It is well-known that simulating quantum circuits with low but non-zero hardware noise is more difficult than without noise. It requires either to perform density matrix simulations (coming with a space overhead) or to sample over "quantum trajectories" where Kraus operators are inserted randomly (coming with a runtime overhead). We propose a simulation technique based on a representation of hardware noise in terms of trajectories generated by operators that remain close to identity at low noise. This representation significantly reduces the variance over the quantum trajectories, speeding up noisy simulations by factors around $10$ to $100$. As a by-product, we provide a formula to factorize multiple-Pauli channels into a concatenation of single Pauli channels.
title Analog simulation of noisy quantum circuits
topic Quantum Physics
url https://arxiv.org/abs/2410.08639