| ZIMAN, Mario, P. STELMACHOVIC a Vladimír BŮŽEK. On the local unitary equivalence of states of multi-partite systems. FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS. BERLIN: WILEY-V C H VERLAG GMBH, 2001, roč. 49, 10,11, s. 1123-1131. ISSN 0015-8208. |
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@article{403361,
author = {Ziman, Mario and Stelmachovic, P. and Bůžek, Vladimír},
article_location = {BERLIN},
article_number = {10,11},
language = {eng},
issn = {0015-8208},
journal = {FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS},
title = {On the local unitary equivalence of states of multi-partite systems},
volume = {49},
year = {2001}
}
TY - JOUR
ID - 403361
AU - Ziman, Mario - Stelmachovic, P. - Bůžek, Vladimír
PY - 2001
TI - On the local unitary equivalence of states of multi-partite systems
JF - FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS
VL - 49
IS - 10,11
SP - 1123
EP - 1123
PB - WILEY-V C H VERLAG GMBH
SN - 00158208
N2 - 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 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.
ER -
ZIMAN, Mario, P. STELMACHOVIC a Vladimír BŮŽEK. On the local unitary equivalence of states of multi-partite systems. \textit{FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS}. BERLIN: WILEY-V C H VERLAG GMBH, 2001, roč.~49, 10,11, s.~1123-1131. ISSN~0015-8208.
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