Rigorous measurement error correction

• URL: http://arxiv.org/abs/2002.01471v2
• Date: Tue, 14 Jul 2020 14:36:10 GMT
• Title: Rigorous measurement error correction
• Authors: Michael R. Geller
• Abstract summary: We review an experimental technique used to correct state preparation and measurement errors on gate-based quantum computers. We show how to obtain $Gamma$ from gate set tomography and apply the error correction technique to single IBM Q superconducting qubits.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We review an experimental technique used to correct state preparation and measurement errors on gate-based quantum computers, and discuss its rigorous justification. Within a specific biased quantum measurement model, we prove that nonideal measurement of an arbitrary $n$-qubit state is equivalent to ideal projective measurement followed by a classical Markov process $\Gamma$ acting on the output probability distribution. Measurement errors can be removed, with rigorous justification, if $\Gamma$ can be learned and inverted. We show how to obtain $\Gamma$ from gate set tomography (R. Blume-Kohout et al., arXiv:1310.4492) and apply the error correction technique to single IBM Q superconducting qubits.

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