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  • Two pure states of a multi-partite system are alway are related by a unitary transformation acting on the Hilbert space of the hole system. This transformation involves multi-partite transformations. On the other hand some quantum information protocols such as the quantum teleportation and quantum dense coding are based on equivalence of some classes of states of bi-partite systems under the action of local (one-particle) unitary operations. In this paper we adress the question: %22Under what conditions are the two states states, Q and a, of a multi-partite system locally unitary equivalent?%22 We present a set of conditions which have to be satisfied in order that the two states are locally unitary equivalent. In addition, we study whether it is possible to prepare a state of a multi-qudit system. Which is devided into two parts A and B, by unitary operations acting only on the systems A and B, separately.
  • Two pure states of a multi-partite system are alway are related by a unitary transformation acting on the Hilbert space of the hole system. This transformation involves multi-partite transformations. On the other hand some quantum information protocols such as the quantum teleportation and quantum dense coding are based on equivalence of some classes of states of bi-partite systems under the action of local (one-particle) unitary operations. In this paper we adress the question: %22Under what conditions are the two states states, Q and a, of a multi-partite system locally unitary equivalent?%22 We present a set of conditions which have to be satisfied in order that the two states are locally unitary equivalent. In addition, we study whether it is possible to prepare a state of a multi-qudit system. Which is devided into two parts A and B, by unitary operations acting only on the systems A and B, separately. (en)
Title
  • On the local unitary equivalence of states of multi-partite systems
  • On the local unitary equivalence of states of multi-partite systems (en)
skos:prefLabel
  • On the local unitary equivalence of states of multi-partite systems
  • On the local unitary equivalence of states of multi-partite systems (en)
skos:notation
  • RIV/00216224:14330/01:00005674!RIV/2002/GA0/143302/N
http://linked.open.../vavai/riv/strany
  • 1123
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  • P(GA201/98/0369)
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  • 10,11
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  • 690000
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  • RIV/00216224:14330/01:00005674
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  • On the local unitary equivalence of states of multi-partite systems (en)
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  • DE - Spolková republika Německo
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  • [9B4530846848]
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  • FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS
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  • 49
http://linked.open...iv/tvurceVysledku
  • Bůžek, Vladimír
  • Stelmachovic, P.
  • Ziman, M.
issn
  • 0015-8208
number of pages
http://localhost/t...ganizacniJednotka
  • 14330
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