| NAGAJ, Daniel, Peter STELMACHOVIC, Vladimír BŮŽEK a Myungshik KIM. Quantum homogenization for continuous variables: Realization with linear optical elements. Physical Review A. New York: American Physical Society, 2002, roč. 66, č. 06, s. 062307-1;062307-11, 11 s. ISSN 1050-2947. |
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@article{484413,
author = {Nagaj, Daniel and Stelmachovic, Peter and Bůžek, Vladimír and Kim, Myungshik},
article_location = {New York},
article_number = {06},
keywords = {quantum information; entanglement; dynamics of open quantum systems},
language = {eng},
issn = {1050-2947},
journal = {Physical Review A},
title = {Quantum homogenization for continuous variables: Realization with linear optical elements},
volume = {66},
year = {2002}
}
TY - JOUR
ID - 484413
AU - Nagaj, Daniel - Stelmachovic, Peter - Bůžek, Vladimír - Kim, Myungshik
PY - 2002
TI - Quantum homogenization for continuous variables: Realization with linear optical elements
JF - Physical Review A
VL - 66
IS - 06
SP - 062307-1;062307-11
EP - 062307-1;062307-11
PB - American Physical Society
SN - 10502947
KW - quantum information
KW - entanglement
KW - dynamics of open quantum systems
N2 - Recently Ziman et al. [Phys. Rev. A 65, 042105 (2002)] have introduced a concept of a universal quantum homogenizer which is a quantum machine that takes as input a given (system) qubit initially in an arbitrary state $\rho$ and a set of N reservoir qubits initially prepared in the state $\xi$. The homogenizer realizes, in the limit sense, the transformation such that at the output each qubit is in an arbitrarily small neighborhood of the state $\xi$ irrespective of the initial states of the system and the reservoir qubits. In this paper we generalize the concept of quantum homogenization for qudits, that is, for $d$-dimensional quantum systems. We prove that the partial-swap operation induces a contractive map with the fixed point which is the original state of the reservoir. We propose an optical realization of the quantum homogenization for Gaussian states. We prove that an incoming state of a photon field is homogenized in an array of beam splitters. Using Simon's criterion, we study entanglement between outgoing beams from beam splitters. We derive an inseparability condition for a pair of output beams as a function of the degree of squeezing in input beams
ER -
NAGAJ, Daniel, Peter STELMACHOVIC, Vladimír BŮŽEK a Myungshik KIM. Quantum homogenization for continuous variables: Realization with linear optical elements. \textit{Physical Review A}. New York: American Physical Society, 2002, roč.~66, č.~06, s.~062307-1;062307-11, 11 s. ISSN~1050-2947.
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