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Bibliographic Details
Main Authors: Carrasco, Jose, Langer, Marc, Neven, Antoine, Kraus, Barbara
Format: Preprint
Published: 2023
Subjects:
Online Access:https://arxiv.org/abs/2308.11368
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author Carrasco, Jose
Langer, Marc
Neven, Antoine
Kraus, Barbara
author_facet Carrasco, Jose
Langer, Marc
Neven, Antoine
Kraus, Barbara
contents We present verification protocols to gain confidence in the correct performance of the realization of an arbitrary universal quantum computation. The derivation of the protocols is based on the fact that matchgate computations, which are classically efficiently simulable, become universal if supplemented with additional resources. We combine tools from weak simulation, randomized compiling, and classical statistics to derive verification circuits. These circuits have the property that (i) they strongly resemble the original circuit and (ii) cannot only be classically efficiently simulated in the ideal, i.e. error free, scenario, but also in the realistic situation where errors are present. In fact, in one of the protocols we apply exactly the same circuit as in the original computation, however, to a slightly modified input state.
format Preprint
id arxiv_https___arxiv_org_abs_2308_11368
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Gaining confidence on the correct realization of arbitrary quantum computations
Carrasco, Jose
Langer, Marc
Neven, Antoine
Kraus, Barbara
Quantum Physics
We present verification protocols to gain confidence in the correct performance of the realization of an arbitrary universal quantum computation. The derivation of the protocols is based on the fact that matchgate computations, which are classically efficiently simulable, become universal if supplemented with additional resources. We combine tools from weak simulation, randomized compiling, and classical statistics to derive verification circuits. These circuits have the property that (i) they strongly resemble the original circuit and (ii) cannot only be classically efficiently simulated in the ideal, i.e. error free, scenario, but also in the realistic situation where errors are present. In fact, in one of the protocols we apply exactly the same circuit as in the original computation, however, to a slightly modified input state.
title Gaining confidence on the correct realization of arbitrary quantum computations
topic Quantum Physics
url https://arxiv.org/abs/2308.11368