On the local unitary equivalence of states of multi-partite systems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F01%3A00005674" target="_blank" >RIV/00216224:14330/01:00005674 - 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

On the local unitary equivalence of states of multi-partite systems

Popis výsledku v původním jazyce

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: "Under what conditions are the two states states, Q and a, of a multi-partite system locally unitary equivalent?" 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 possibleto 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.

Název v anglickém jazyce

On the local unitary equivalence of states of multi-partite systems

Popis výsledku anglicky

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: "Under what conditions are the two states states, Q and a, of a multi-partite system locally unitary equivalent?" 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 possibleto 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.

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

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2001

Kód důvěrnosti údajů

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

Název periodika

FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS

ISSN

0015-8208

e-ISSN

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Svazek periodika

49

Číslo periodika v rámci svazku

10,11

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

9

Strana od-do

1123

Kód UT WoS článku

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EID výsledku v databázi Scopus

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