Bounds on quantum process fidelity from minimum required number of quantum state fidelity measurements
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Bounds on quantum process fidelity from minimum required number of quantum state fidelity measurements
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BH - Optics, masers and lasers
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical Review A
ISSN
1050-2947
e-ISSN
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Volume of the periodical
89
Issue of the periodical within the volume
1
Country of publishing house
US - UNITED STATES
Number of pages
6
Pages from-to
"012323-1"-"012323-6"
UT code for WoS article
000332211000003
EID of the result in the Scopus database
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