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

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://journals.aps.org/pra/pdf/10.1103/PhysRevA.89.012323
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. 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. (en)
Title	Bounds on quantum process fidelity from minimum required number of quantum state fidelity measurements Bounds on quantum process fidelity from minimum required number of quantum state fidelity measurements (en)
skos:prefLabel	Bounds on quantum process fidelity from minimum required number of quantum state fidelity measurements Bounds on quantum process fidelity from minimum required number of quantum state fidelity measurements (en)
skos:notation	RIV/61989592:15310/14:33149902!RIV15-MSM-15310___
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(EE2.3.30.0004), P(GA13-20319S)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Fiurášek, Jaromír Sedlák, Michal
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Univerzita Palackého v Olomouci / Přírodovědecká fakulta
http://linked.open...dnocenehoVysledku	5731
http://linked.open...ai/riv/idVysledku	RIV/61989592:15310/14:33149902
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	measurements; fidelity; state; quantum; number; required; minimum; process; Bounds (en)
http://linked.open.../riv/klicoveSlovo	fidelity number minimum state quantum measurements process Bounds required
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[081B2544E6FB]
http://linked.open...i/riv/nazevZdroje	Physical Review A
http://linked.open...in/vavai/riv/obor	BH
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	Optické kvantové zpracování informace pomocí slabých kvantových měření POST-UP
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	89
http://linked.open...iv/tvurceVysledku	Fiurášek, Jaromír Sedlák, Michal
http://linked.open...ain/vavai/riv/wos	000332211000003
issn	1050-2947
number of pages	6 (xsd:int)
http://bibframe.org/vocab/doi	10.1103/PhysRevA.89.012323
http://localhost/t...ganizacniJednotka	15310

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