Estimation of coherent error sources from stabilizer measurements

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.

18 pages, 3 figures, 3 tables

References in corpus (11)

• Quantum Computing
• Universal Linear Optics
• Experimental Quantum Computations on a Topologically Encoded Qubit
• Quantum Error Correction
• Coherent addressing of individual neutral atoms in a 3D optical lattice
• Measurement-based Quantum Communication
• Robust and efficient in situ quantum control
• Characterization of quantum dynamics using quantum error correction
• In-situ characterization of quantum devices with error correction
• Scalable extraction of error models from the output of error detection circuits
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