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Title: Creation of Two-Particle Entanglement in Open Macroscopic Quantum Systems

Abstract

We consider an open quantum system of N not directly interacting spins (qubits) in contact with both local and collective thermal environments. The qubit-environment interactions are energy conserving. We trace out the variables of the thermal environments and N 2 qubits to obtain the time-dependent reduced density matrix for two arbitrary qubits. We numerically simulate the reduced dynamics and the creation of entanglement (concurrence) as a function of the parameters of the thermal environments and the number of qubits, N . Our results demonstrate that the two-qubit entanglement generally decreases as N increases. We show analytically that, in the limit N , no entanglement can be created. This indicates that collective thermal environments cannot create two-qubit entanglement when many qubits are located within a region of the size of the environment coherence length. We discuss possible relevance of our consideration to recent quantum information devices and biosystems.

Authors:
 [1];  [2];  [3];  [4]
  1. Department of Mathematics and Statistics, Memorial University of Newfoundland, St. John’s, NL, Canada A1C 5S7
  2. Theoretical Division, Los Alamos National Laboratory, MS B213, Los Alamos, NM 87545, USA
  3. Dipartimento di Matematica e Fisica, and Interdisciplinary Laboratories for Advanced Materials Physics, Università Cattolica, Via Musei 41, 25121 Brescia, Italy, Istituto Nazionale di Fisica Nucleare, Sezione di Pavia, Via Bassi 6, 27100 Pavia, Italy
  4. Department of Applied Physics, Polytechnic Institute of NYU, 6 MetroTech Center, Brooklyn, NY 11201, USA
Publication Date:
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1198083
Grant/Contract Number:  
DEAC52-06NA25396
Resource Type:
Published Article
Journal Name:
Advances in Mathematical Physics
Additional Journal Information:
Journal Name: Advances in Mathematical Physics Journal Volume: 2012; Journal ID: ISSN 1687-9120
Publisher:
Hindawi Publishing Corporation
Country of Publication:
Country unknown/Code not available
Language:
English

Citation Formats

Merkli, M., Berman, G. P., Borgonovi, F., and Tsifrinovich, V. I.. Creation of Two-Particle Entanglement in Open Macroscopic Quantum Systems. Country unknown/Code not available: N. p., 2012. Web. doi:10.1155/2012/375182.
Merkli, M., Berman, G. P., Borgonovi, F., & Tsifrinovich, V. I.. Creation of Two-Particle Entanglement in Open Macroscopic Quantum Systems. Country unknown/Code not available. doi:10.1155/2012/375182.
Merkli, M., Berman, G. P., Borgonovi, F., and Tsifrinovich, V. I.. Sun . "Creation of Two-Particle Entanglement in Open Macroscopic Quantum Systems". Country unknown/Code not available. doi:10.1155/2012/375182.
@article{osti_1198083,
title = {Creation of Two-Particle Entanglement in Open Macroscopic Quantum Systems},
author = {Merkli, M. and Berman, G. P. and Borgonovi, F. and Tsifrinovich, V. I.},
abstractNote = {We consider an open quantum system of N not directly interacting spins (qubits) in contact with both local and collective thermal environments. The qubit-environment interactions are energy conserving. We trace out the variables of the thermal environments and N − 2 qubits to obtain the time-dependent reduced density matrix for two arbitrary qubits. We numerically simulate the reduced dynamics and the creation of entanglement (concurrence) as a function of the parameters of the thermal environments and the number of qubits, N . Our results demonstrate that the two-qubit entanglement generally decreases as N increases. We show analytically that, in the limit N → ∞ , no entanglement can be created. This indicates that collective thermal environments cannot create two-qubit entanglement when many qubits are located within a region of the size of the environment coherence length. We discuss possible relevance of our consideration to recent quantum information devices and biosystems.},
doi = {10.1155/2012/375182},
journal = {Advances in Mathematical Physics},
number = ,
volume = 2012,
place = {Country unknown/Code not available},
year = {2012},
month = {1}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1155/2012/375182

Citation Metrics:
Cited by: 3 works
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