Verifying a stabilizer state with few observables but many shots

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1. Verfasser:	Theis, Dirk Oliver
Format:	Preprint
Veröffentlicht:	2024
Schlagworte:	Quantum Physics
Online-Zugang:	Acceder al recurso
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author	Theis, Dirk Oliver
author_facet	Theis, Dirk Oliver
contents	We propose a quantum-state-certification protocol for stabilizer states, motivated by application in in-situ testing of NISQ-era quantum computer systems: The number of qubits is bounded, and in terms of cost of running the protocol, identical repetition of quantum circuits contribute negligibly compared to switching the measurement bases. The method builds on Direct Fidelity Estimation and work by Somma et al.~(2006), but replaces linear averages by a minimum over estimates of expectation values. We provide mathematically rigorous analysis of the false-negative and false-positive rates.
format	Preprint
id	arxiv_https___arxiv_org_abs_2412_16690
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Verifying a stabilizer state with few observables but many shots Theis, Dirk Oliver Quantum Physics We propose a quantum-state-certification protocol for stabilizer states, motivated by application in in-situ testing of NISQ-era quantum computer systems: The number of qubits is bounded, and in terms of cost of running the protocol, identical repetition of quantum circuits contribute negligibly compared to switching the measurement bases. The method builds on Direct Fidelity Estimation and work by Somma et al.~(2006), but replaces linear averages by a minimum over estimates of expectation values. We provide mathematically rigorous analysis of the false-negative and false-positive rates.
title	Verifying a stabilizer state with few observables but many shots
topic	Quantum Physics
url	https://arxiv.org/abs/2412.16690

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