Quantum homogenization for continuous variables: Realization with linear optical elements

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F02%3A00007545" target="_blank" >RIV/00216224:14330/02:00007545 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Quantum homogenization for continuous variables: Realization with linear optical elements

Popis výsledku v původním jazyce

Recently Ziman et al. [Phys. Rev. A 65, 042105 (2002)] have introduced a concept of a universal quantum homogenizer which is a quantum machine that takes as input a given (system) qubit initially in an arbitrary state $rho$ and a set of N reservoir qubits initially prepared in the state $xi$. The homogenizer realizes, in the limit sense, the transformation such that at the output each qubit is in an arbitrarily small neighborhood of the state $xi$ irrespective of the initial states of the system andthe reservoir qubits. In this paper we generalize the concept of quantum homogenization for qudits, that is, for $d$-dimensional quantum systems. We prove that the partial-swap operation induces a contractive map with the fixed point which is the original state of the reservoir. We propose an optical realization of the quantum homogenization for Gaussian states. We prove that an incoming state of a photon field is homogenized in an array of beam splitters. Using Simon's criterion, we stu

Název v anglickém jazyce

Quantum homogenization for continuous variables: Realization with linear optical elements

Popis výsledku anglicky

Recently Ziman et al. [Phys. Rev. A 65, 042105 (2002)] have introduced a concept of a universal quantum homogenizer which is a quantum machine that takes as input a given (system) qubit initially in an arbitrary state $rho$ and a set of N reservoir qubits initially prepared in the state $xi$. The homogenizer realizes, in the limit sense, the transformation such that at the output each qubit is in an arbitrarily small neighborhood of the state $xi$ irrespective of the initial states of the system andthe reservoir qubits. In this paper we generalize the concept of quantum homogenization for qudits, that is, for $d$-dimensional quantum systems. We prove that the partial-swap operation induces a contractive map with the fixed point which is the original state of the reservoir. We propose an optical realization of the quantum homogenization for Gaussian states. We prove that an incoming state of a photon field is homogenized in an array of beam splitters. Using Simon's criterion, we stu

Druh

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

CEP obor

BE - Teoretická fyzika

OECD FORD obor

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Projekt

<a href="/cs/project/GA201%2F98%2F0369" target="_blank" >GA201/98/0369: Informatika jako třetí metodologie</a><br>

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2002

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

66

Číslo periodika v rámci svazku

06

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

11

Strana od-do

"062307-1"-"062307-11"

Kód UT WoS článku

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EID výsledku v databázi Scopus

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