2020/02/29 by Michael R. Geller, Michael R Geller · 56 citations
Computer Science · Physics and Astronomy · #Error detection and correction #Ideal (ethics) #Markov chain #Markov process #Observational error #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum error correction #Set (abstract data type) #State (computer science) #quant-ph
paper · pdf · doi:10.1088/2058-9565/ab9591
published in Quantum Science and Technology 5(3), 03LT01 (IOP Publishing)
openalex created_date 2020/02/14 · openalex publication_date 2020/06/08 · arxiv created 2020/07/14 · arxiv updated 2020/07/15 · openalex updated_date 2026/08/06
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 Γ acting on the output probability distribution. Measurement errors can be removed, with rigorous justification, if Γ can be learned and inverted. We show how to obtain Γ from gate set tomography (Blume-Kohout et al arXiv:1310.4492) and apply the rigorous correction technique to single IBM Q superconducting qubits.