Bounds on quantum process fidelity from minimum required number of quantum state fidelity measurements

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F14%3A33149902" target="_blank" >RIV/61989592:15310/14:33149902 - isvavai.cz</a>

Výsledek na webu

<a href="http://journals.aps.org/pra/pdf/10.1103/PhysRevA.89.012323" target="_blank" >http://journals.aps.org/pra/pdf/10.1103/PhysRevA.89.012323</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1103/PhysRevA.89.012323" target="_blank" >10.1103/PhysRevA.89.012323</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Bounds on quantum process fidelity from minimum required number of quantum state fidelity measurements

Popis výsledku v původním jazyce

To certify that an experimentally implemented quantum transformation is a certain unitary operation U on a d-dimensional Hilbert space, it suffices to determine fidelities of output states for d + 1 suitably chosen pure input states [Reich et al., Phys.Rev. A 88, 042309 (2013)]. The set of these d + 1 probe states can consist of d orthogonal states that form a basis and one additional state which is a balanced superposition of all d basis states. Here we provide an analytical lower bound on quantum process fidelity for two-qubit quantum gates which results from the knowledge of average state fidelity for the basis states and the fidelity of the superposition state. We compare this bound with the Hofmann bound that is based on knowledge of average state fidelities for two mutually unbiased bases. We also discuss the possible extension of our findings to N-qubit operations.

Název v anglickém jazyce

Bounds on quantum process fidelity from minimum required number of quantum state fidelity measurements

Popis výsledku anglicky

To certify that an experimentally implemented quantum transformation is a certain unitary operation U on a d-dimensional Hilbert space, it suffices to determine fidelities of output states for d + 1 suitably chosen pure input states [Reich et al., Phys.Rev. A 88, 042309 (2013)]. The set of these d + 1 probe states can consist of d orthogonal states that form a basis and one additional state which is a balanced superposition of all d basis states. Here we provide an analytical lower bound on quantum process fidelity for two-qubit quantum gates which results from the knowledge of average state fidelity for the basis states and the fidelity of the superposition state. We compare this bound with the Hofmann bound that is based on knowledge of average state fidelities for two mutually unbiased bases. We also discuss the possible extension of our findings to N-qubit operations.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BH - Optika, masery a lasery

OECD FORD obor

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Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2014

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Physical Review A

ISSN

1050-2947

e-ISSN

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Svazek periodika

89

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

6

Strana od-do

"012323-1"-"012323-6"

Kód UT WoS článku

000332211000003

EID výsledku v databázi Scopus

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