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  • 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.
  • 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. (en)
Title
  • Nonmaximally entangled bases and their application in entanglement purification via swapping
  • Nonmaximally entangled bases and their application in entanglement purification via swapping (en)
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  • Nonmaximally entangled bases and their application in entanglement purification via swapping
  • Nonmaximally entangled bases and their application in entanglement purification via swapping (en)
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  • RIV/00216224:14330/05:00013052!RIV10-GA0-14330___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/04/1153), Z(MSM0021622419)
http://linked.open...iv/cisloPeriodika
  • No. 3
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 533048
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14330/05:00013052
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • nonmaximally entangled bases; entanglement purification; entanglement swapping (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [F21779676AF0]
http://linked.open...i/riv/nazevZdroje
  • Physical Review A
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • Vol. 71
http://linked.open...iv/tvurceVysledku
  • Bužek, Vladimír
  • Koniorczyk, Matyas
http://linked.open...ain/vavai/riv/wos
  • 000228632100046
http://linked.open...n/vavai/riv/zamer
issn
  • 1050-2947
number of pages
http://localhost/t...ganizacniJednotka
  • 14330
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