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arXiv · 1512.07083

Estimation of coherent error sources from stabilizer measurements

Davide Orsucci·Markus Tiersch·Hans J. Briegel
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Abstract

In the context of measurement-based quantum computation a way of maintaining the coherence of a graph state is to measure its stabilizer operators. Aside from performing quantum error correction, it is possible to exploit the information gained from these measurements to characterize and then counteract a coherent source of errors; that is, to determine all the parameters of an error channel that applies a fixed - but unknown - unitary operation to the physical qubits. Such a channel is generated, e.g., by local stray fields that act on the qubits. We study the case in which each qubit of a given graph state may see a different error channel and we focus on channels given by a rotation on the Bloch sphere around either the x, y or z axis, for which analytical results can be given in a compact form. The possibility of reconstructing the channels at all qubits depends non-trivially on the topology of the graph state. We prove via perturbation methods that the reconstruction process is robust and supplement the analytic results with numerical evidence.

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Davide Orsucci, Markus Tiersch, Hans J. Briegel. 2015-12-22. Estimation of coherent error sources from stabilizer measurements. https://doi.org/10.1103/physreva.93.042303

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