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Multitime correlators in continuous measurement of qubit observables

2017/10/31 by Juan Atalaya, Shay Hacohen-Gourgy, Leigh S. Martin +2 · 16 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Algorithm #Computer science #Detector #Factorization #Formalism (music) #Mathematics #Measure (data warehouse) #Observable #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Qubit #Statistical physics #cond-mat.supr-con #quant-ph

paper · pdf · doi:10.1103/physreva.97.020104

published in Physical Review A 97(2) (American Physical Society) · 10 pages, 2 figures

openalex publication_date 2018/02/09 · arxiv created 2018/02/13 · arxiv updated 2018/02/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider multitime correlators for output signals from linear detectors, continuously measuring several qubit observables at the same time. Using the quantum Bayesian formalism, we show that for unital (symmetric) evolution in the absence of phase backaction, an N-time correlator can be expressed as a product of two-time correlators when N is even. For odd N, there is a similar factorization, which also includes a single-time average. Theoretical predictions agree well with experimental results for two detectors, which simultaneously measure noncommuting qubit observables.

Citations