Unital qubit channels admit operational time-reversal symmetry through Bayesian inverses precisely when the reference state allows a corresponding inverse for the equivalent Pauli channel.
From time- reversal symmetry to quantum Bayes’ rules
3 Pith papers cite this work. Polarity classification is still indexing.
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The Petz recovery map equals the gradient of the log-likelihood in maximum-likelihood tomography, unifying retrodiction and state reconstruction via a shared iterative procedure.
Temporal state tomography reconstructs multi-time quantum processes from temporal quasiprobability distributions via a Bloch-type representation and derives the associated sample complexity.
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Operational time-reversal symmetry for unital qubit channels
Unital qubit channels admit operational time-reversal symmetry through Bayesian inverses precisely when the reference state allows a corresponding inverse for the equivalent Pauli channel.
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Connecting Quantum Tomography and Quantum Retrodiction
The Petz recovery map equals the gradient of the log-likelihood in maximum-likelihood tomography, unifying retrodiction and state reconstruction via a shared iterative procedure.
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Temporal State Tomography via Quantum Snapshotting the Temporal Quasiprobabilities
Temporal state tomography reconstructs multi-time quantum processes from temporal quasiprobability distributions via a Bloch-type representation and derives the associated sample complexity.