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We consider multi-time correlators for output signals from linear detectors,continuously measuring several qubit observables at the same time. Using thequantum Bayesian formalism, we show that for unital (symmetric) evolution inthe absence of phase backaction, an $N$-time correlator can be expressed as aproduct of two-time correlators when $N$ is even. For odd $N$, there is asimilar factorization, which also includes a single-time average. Theoreticalpredictions agree well with experimental results for two detectors, whichsimultaneously measure non-commuting qubit observables.

Multi-time correlators in continuous measurement of qubit observables