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Implementation of the three-qubit phase-flip error correction code with superconducting qubits

delete2008-06-27
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L
Lars Tornberg *
M
M. Wallquist
G
Göran Johansson
V
V. S. Shumeĭko
G
Göran Wendin
DOI:10.1103/PhysRevB.77.214528delete
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Abstract

Abstract

En 中文
We investigate the performance of a three-qubit error correcting code in the framework of superconducting qubit implementations. Such a code can recover a quantum state perfectly in the case of dephasing errors but only in situations where the dephasing rate is low. Numerical studies in previous work have however shown that the code does increase the fidelity of the encoded state even in the presence of high error probability, during both storage and processing. In this work we give analytical expressions for the fidelity of such a code. We consider two specific schemes for qubit-qubit interaction realizable in superconducting systems; one sigma(z)sigma(z) coupling and one cavity-mediated coupling. With these realizations in mind, and considering errors during storing as well as processing, we calculate the maximum operation time allowed in order to still benefit from the code. We show that this limit can be reached with current technology.
Keywords:
QUANTUM-STATE
REALIZATION
COMPUTERS
CIRCUIT
CAVITY
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Journal

Physical Review B cover
Physical Review B
IF:
3.7
Papers:
15.4W
Citations:
41.0W

Organization

U
University of Innsbruck
Scholars:
9.8K
Papers: 8.6K
Citations: 8
C
chalmers university of technology
Scholars:
1.5W
Papers: 1.6W
Citations: 10