Surprises in fault tolerance and cluster dynamics for quantum computing

G. Gilbert; Y. S. Weinstein

doi:10.1117/12.913012

23 February 2012 Surprises in fault tolerance and cluster dynamics for quantum computing

G. Gilbert, Y. S. Weinstein

Proceedings Volume 8272, Advances in Photonics of Quantum Computing, Memory, and Communication V; 82720L (2012) https://doi.org/10.1117/12.913012
Event: SPIE OPTO, 2012, San Francisco, California, United States

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.

Citation Download Citation

G. Gilbert and Y. S. Weinstein "Surprises in fault tolerance and cluster dynamics for quantum computing", Proc. SPIE 8272, Advances in Photonics of Quantum Computing, Memory, and Communication V, 82720L (23 February 2012); https://doi.org/10.1117/12.913012

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