Diluting quantum information: An analysis of information
transfer in system-reservoir interactions

J 2002

Diluting quantum information: An analysis of information transfer in system-reservoir interactions

ZIMAN, Mario; Peter ŠTELMACHOVIČ; Vladimír BŮŽEK; Mark HILLERY; Valerio SCARANI et. al.

Základní údaje

Originální název

Diluting quantum information: An analysis of information transfer in system-reservoir interactions

Autoři

ZIMAN, Mario; Peter ŠTELMACHOVIČ; Vladimír BŮŽEK; Mark HILLERY a Valerio SCARANI

Vydání

Physical Review A (Atomic, Molecular, and Optical Physics), 2002, 1094-1622

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10301 Atomic, molecular and chemical physics

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL

Organizační jednotka

Fakulta informatiky

UT WoS

000174978600017

Klíčová slova anglicky

Quantum Computing; Quantum Processors

Štítky

Quantum computing, quantum processors

Změněno: 3. 12. 2003 17:36, Mgr. Michal Marciniszyn

Anotace

V originále

We design a universal quantum homogenizer, which is a quantum machine that takes as an input a system qubit initially in the state and a set of N reservoir qubits initially prepared in the same state . In the homogenizer the system qubit sequentially interacts with the reservoir qubits via the partial swap transformation. 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 irrespective of the initial states of the system and the reservoir qubits. This means that the system qubit undergoes an evolution that has a fixed point, which is the reservoir state . We also study approximate homogenization when the reservoir is composed of a finite set of identically prepared qubits. The homogenizer allows us to understand various aspects of the dynamics of open systems interacting with environments in nonequilibrium states. In particular, the reversibility vs irreversibility of the dynamics of the open system is directly linked to specific (classical) information about the order in which the reservoir qubits interacted with the system qubit. This aspect of the homogenizer leads to a model of a quantum safe with a classical combination. We analyze in detail how entanglement between the reservoir and the system is created during the process of quantum homogenization. We show that the information about the initial state of the system qubit is stored in the entanglement between the homogenized qubits.

Citovat

ZIMAN, Mario; Peter ŠTELMACHOVIČ; Vladimír BŮŽEK; Mark HILLERY a Valerio SCARANI. Diluting quantum information: An analysis of information transfer in system-reservoir interactions. Physical Review A (Atomic, Molecular, and Optical Physics). 2002, roč. 65, 18/03/2002, s. 042105-1; 042105-11, 11 s. ISSN 1094-1622.

@article{490077,
   author = {Ziman, Mario and Štelmachovič, Peter and Bůžek, Vladimír and Hillery, Mark and Scarani, Valerio},
   article_number = {18/03/2002},
   keywords = {Quantum Computing; Quantum Processors},
   language = {eng},
   issn = {1094-1622},
   journal = {Physical Review A (Atomic, Molecular, and Optical Physics)},
   title = {Diluting quantum information: An analysis of information transfer in system-reservoir interactions},
   url = {http://link.aps.org/abstract/PRA/v65/e042105},
   volume = {65},
   year = {2002}
}

TY  - JOUR
ID  - 490077
AU  - Ziman, Mario - Štelmachovič, Peter - Bůžek, Vladimír - Hillery, Mark - Scarani, Valerio
PY  - 2002
TI  - Diluting quantum information: An analysis of information transfer in system-reservoir interactions
JF  - Physical Review A (Atomic, Molecular, and Optical Physics)
VL  - 65
IS  - 18/03/2002
SP  - 042105-1; 042105-11
EP  - 042105-1; 042105-11
SN  - 10941622
KW  - Quantum Computing
KW  - Quantum Processors
UR  - http://link.aps.org/abstract/PRA/v65/e042105
L2  - http://link.aps.org/abstract/PRA/v65/e042105
N2  - We design a universal quantum homogenizer, which is a quantum machine that takes as an input a system qubit initially in the state and a set of N reservoir qubits initially prepared in the same state . In the homogenizer the system qubit sequentially interacts with the reservoir qubits via the partial swap transformation. 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 irrespective of the initial states of the system and the reservoir qubits. This means that the system qubit undergoes an evolution that has a fixed point, which is the reservoir state . We also study approximate homogenization when the reservoir is composed of a finite set of identically prepared qubits. The homogenizer allows us to understand various aspects of the dynamics of open systems interacting with environments in nonequilibrium states. In particular, the reversibility vs irreversibility of the dynamics of the open system is directly linked to specific (classical) information about the order in which the reservoir qubits interacted with the system qubit. This aspect of the homogenizer leads to a model of a quantum safe with a classical combination. We analyze in detail how entanglement between the reservoir and the system is created during the process of quantum homogenization. We show that the information about the initial state of the system qubit is stored in the entanglement between the homogenized qubits.
ER  -

ZIMAN, Mario; Peter ŠTELMACHOVIČ; Vladimír BŮŽEK; Mark HILLERY a Valerio SCARANI. Diluting quantum information: An analysis of information transfer in system-reservoir interactions. \textit{Physical Review A (Atomic, Molecular, and Optical Physics)}. 2002, roč.~65, 18/03/2002, s.~042105-1; 042105-11, 11 s. ISSN~1094-1622.

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