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Proceedings Paper

Surprises in fault tolerance and cluster dynamics for quantum computing
Author(s): G. Gilbert; Y. S. Weinstein
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Paper Abstract

We explore basic necessary protocols to achieve fault tolerance for quantum computation in the cluster state and circuit models. For the cluster state model we simulate the implementation of an arbitrary rotation via only measurement on a decohered cluster state. Fidelity is used to quantify the accuracy of the initial cluster state and a gate fidelity for the arbitrary rotation is determined. In the circuit model we compare the accuracy of two methods that can be used to construct a logical zero state appropriate for the [7, 1, 3] Steane quantum error correction code in a non-equiprobable Pauli operator error environment: a fault tolerant method done by applying error correction on seven qubits all in the state zero, and a non-fault tolerant method done by implementing the encoding gate sequence. We find that the latter construction method, in spite of its lack of "fault tolerance," outputs a seven qubit state with a higher fidelity than the first (fault tolerant) method. However, the fidelity of the single qubit of stored information exhibits almost equivalent values between the two construction methods.

Paper Details

Date Published: 23 February 2012
PDF: 9 pages
Proc. SPIE 8272, Advances in Photonics of Quantum Computing, Memory, and Communication V, 82720L (23 February 2012); doi: 10.1117/12.913012
Show Author Affiliations
G. Gilbert, The MITRE Corp. (United States)
Y. S. Weinstein, The MITRE Corp. (United States)

Published in SPIE Proceedings Vol. 8272:
Advances in Photonics of Quantum Computing, Memory, and Communication V
Zameer Ul Hasan; Philip R. Hemmer; Hwang Lee; Charles M. Santori, Editor(s)

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