Nonmaximally entangled bases and their application in entanglement purification via swapping

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F05%3A00013052" target="_blank" >RIV/00216224:14330/05:00013052 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Nonmaximally entangled bases and their application in entanglement purification via swapping

Original language description

Four basis vectors of the Hilbert space of two qubits have the property that if three of them are product states, then the fourth one has to be a product state as well. We address the following situation: Consider a set of orthogonal vectors, each exhibiting a certain degree of entanglement. What is the bound on entanglement of the rest of the basis vectors to form a complete orthonormal basis? Specifically, we present an orthonormal basis, the Xi basis in the Hilbert space of two qubits, with one product state and three equally entangled states. The maximum of the so available entanglement is quantified. A close-to-optimal protocol is presented for entanglement purification via entanglement swapping of two-qubit states. It is based on a suitably chosen nonmaximally entangled basis and carried out in a single step without any ancillas. A similar application of the Xi basis is examined. In this latter case, all the involved entangled states have different and nonorthogonal Schmidt decom

Czech name

Nemaximálně entanglované báze a jejich aplikace při purifikaci entanglementu přes swapping

Czech description

Důkaz existence ortonormálních bází s elementy, které nejsou maximálně entanglované a jejich použití pro tzv. entanglement purifikaci a swapping.

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BE - Theoretical physics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F04%2F1153" target="_blank" >GA201/04/1153: Quantum resources and primitives</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2005

Confidentiality

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

Name of the periodical

Physical Review A

ISSN

1050-2947

e-ISSN

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Volume of the periodical

Vol. 71

Issue of the periodical within the volume

No. 3

Country of publishing house

US - UNITED STATES

Number of pages

10

Pages from-to

"A032331"

UT code for WoS article

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EID of the result in the Scopus database

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