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Title: Two-reservoir model of quantum error correction

Abstract

We consider a two-reservoir model of quantum error correction with a hot bath causing errors in the qubits and a cold bath cooling the ancilla qubits to a fiducial state. We consider error correction protocols both with and without measurement of the ancilla state. The error correction acts as a kind of refrigeration process to maintain the data qubits in a low entropy state by periodically moving the entropy to the ancilla qubits and then to the cold reservoir. We quantify the performance of the error correction as a function of the reservoir temperatures and cooling rate by means of the fidelity and the residual entropy of the data qubits. We also make a comparison with the continuous quantum error correction model of Sarovar and Milburn [Phys. Rev. A 72, 012306 (2005)].

Authors:
;  [1];  [2]
  1. Department of Physics, University of Arkansas, Fayetteville, Arkansas 72701 (United States) and Department of Physics, Miami University, Oxford, Ohio 45056 (United States)
  2. (United States)
Publication Date:
OSTI Identifier:
20974553
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 73; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevA.73.022337; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CORRECTIONS; ENTROPY; ERRORS; INFORMATION THEORY; PERIODICITY; QUANTUM MECHANICS; QUBITS; RESERVOIR TEMPERATURE

Citation Formats

Clemens, James P., Gea-Banacloche, Julio, and Department of Physics, University of Arkansas, Fayetteville, Arkansas 72701. Two-reservoir model of quantum error correction. United States: N. p., 2006. Web. doi:10.1103/PHYSREVA.73.022337.
Clemens, James P., Gea-Banacloche, Julio, & Department of Physics, University of Arkansas, Fayetteville, Arkansas 72701. Two-reservoir model of quantum error correction. United States. doi:10.1103/PHYSREVA.73.022337.
Clemens, James P., Gea-Banacloche, Julio, and Department of Physics, University of Arkansas, Fayetteville, Arkansas 72701. Wed . "Two-reservoir model of quantum error correction". United States. doi:10.1103/PHYSREVA.73.022337.
@article{osti_20974553,
title = {Two-reservoir model of quantum error correction},
author = {Clemens, James P. and Gea-Banacloche, Julio and Department of Physics, University of Arkansas, Fayetteville, Arkansas 72701},
abstractNote = {We consider a two-reservoir model of quantum error correction with a hot bath causing errors in the qubits and a cold bath cooling the ancilla qubits to a fiducial state. We consider error correction protocols both with and without measurement of the ancilla state. The error correction acts as a kind of refrigeration process to maintain the data qubits in a low entropy state by periodically moving the entropy to the ancilla qubits and then to the cold reservoir. We quantify the performance of the error correction as a function of the reservoir temperatures and cooling rate by means of the fidelity and the residual entropy of the data qubits. We also make a comparison with the continuous quantum error correction model of Sarovar and Milburn [Phys. Rev. A 72, 012306 (2005)].},
doi = {10.1103/PHYSREVA.73.022337},
journal = {Physical Review. A},
number = 2,
volume = 73,
place = {United States},
year = {Wed Feb 15 00:00:00 EST 2006},
month = {Wed Feb 15 00:00:00 EST 2006}
}