2021/08/24 by Michael R. Geller · 17 citations
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Computer engineering #Computer science #Error detection and correction #Mathematics #Observational error #Overhead (engineering) #Physics #Process (computing) #Protocol (science) #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum error correction #Quantum mechanics #Qubit #State (computer science) #Statistics #Weak measurement #quant-ph
paper · pdf · doi:10.1103/physrevlett.127.090502
published in Physical Review Letters 127(9), 090502 (American Physical Society)
openalex publication_date 2021/08/24 · arxiv created 2021/09/09 · arxiv updated 2021/09/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Several techniques have been recently introduced to mitigate errors in near-term quantum computers without the overhead required by quantum error correcting codes. While most of the focus has been on gate errors, measurement errors are significantly larger than gate errors on some platforms. A widely used transition matrix error mitigation (TMEM) technique uses measured transition probabilities between initial and final classical states to correct subsequently measured data. However from a rigorous perspective, the noisy measurement should be calibrated with perfectly prepared initial states, and the presence of any state-preparation error corrupts the resulting mitigation. Here we develop a measurement error mitigation technique, a conditionally rigorous TMEM, that is not sensitive to state-preparation errors and thus avoids this limitation. We demonstrate the importance of the technique for high-precision measurement and for quantum foundations experiments by measuring Mermin polynomials on IBM Q superconducting qubits. An extension of the technique allows one to correct for both state-preparation and measurement (SPAM) errors in expectation values as well; we illustrate this by giving a protocol for fully SPAM-corrected quantum process tomography.