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Statements

Subject Item
n2:RIV%2F00216224%3A14330%2F02%3A00007545%21RIV08-MSM-14330___
rdf:type
n9:Vysledek skos:Concept
dcterms:description
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 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 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
dcterms:title
Quantum homogenization for continuous variables: Realization with linear optical elements Quantum homogenization for continuous variables: Realization with linear optical elements Quantum homogenization for continuous variables: Realization with linear optical elements
skos:prefLabel
Quantum homogenization for continuous variables: Realization with linear optical elements Quantum homogenization for continuous variables: Realization with linear optical elements Quantum homogenization for continuous variables: Realization with linear optical elements
skos:notation
RIV/00216224:14330/02:00007545!RIV08-MSM-14330___
n3:strany
062307-1;062307-11
n3:aktivita
n16:P n16:Z
n3:aktivity
P(GA201/98/0369), Z(MSM 143300001)
n3:cisloPeriodika
06
n3:dodaniDat
n4:2008
n3:domaciTvurceVysledku
n17:4347196
n3:druhVysledku
n14:J
n3:duvernostUdaju
n19:S
n3:entitaPredkladatele
n8:predkladatel
n3:idSjednocenehoVysledku
661325
n3:idVysledku
RIV/00216224:14330/02:00007545
n3:jazykVysledku
n15:eng
n3:klicovaSlova
quantum information; entanglement; dynamics of open quantum systems
n3:klicoveSlovo
n13:dynamics%20of%20open%20quantum%20systems n13:entanglement n13:quantum%20information
n3:kodStatuVydavatele
US - Spojené státy americké
n3:kontrolniKodProRIV
[CD6B960DD5C2]
n3:nazevZdroje
Physical Review A
n3:obor
n18:BE
n3:pocetDomacichTvurcuVysledku
1
n3:pocetTvurcuVysledku
4
n3:projekt
n11:GA201%2F98%2F0369
n3:rokUplatneniVysledku
n4:2002
n3:svazekPeriodika
66
n3:tvurceVysledku
Kim, Myungshik Bužek, Vladimír Stelmachovic, Peter Nagaj, Daniel
n3:zamer
n5:MSM%20143300001
s:issn
1050-2947
s:numberOfPages
11
n6:organizacniJednotka
14330