Temporal State Tomography via Quantum Snapshotting the Temporal Quasiprobabilities

• URL: http://arxiv.org/abs/2605.02655v1
• Date: Mon, 04 May 2026 14:36:20 GMT
• Title: Temporal State Tomography via Quantum Snapshotting the Temporal Quasiprobabilities
• Abstract summary: We introduce a new paradigm, temporal state tomography (TST), for reconstructing quantum processes across multiple times.<n>We formulate TST as a unified framework for reconstructing both density operators and quantum channels within a single scheme.<n>For informationally complete TQDs, the associated temporal state can be reconstructed via a temporal Bloch-type representation.
• Score: 0.42303492200814446
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum tomography is a cornerstone of quantum information science, enabling the reconstruction of states and channels from experimental data. Here we introduce a new paradigm, temporal state tomography (TST), for reconstructing quantum processes across multiple times. Our approach is based on temporal quasiprobability distributions (TQDs), which, in the informationally complete setting, provide a complete description of multi-time quantum processes and uniquely determine temporal states. We formulate TST as a unified framework for reconstructing both density operators and quantum channels within a single scheme. We show that any TQD can be obtained via classical post-processing of measurement outcomes generated by a fixed set of quantum instruments, thereby establishing a direct operational route to accessing TQDs experimentally. For informationally complete TQDs, the associated temporal state can be reconstructed via a temporal Bloch-type representation. Leveraging this correspondence, we derive the sample complexity of TST, thereby quantifying its statistical efficiency.

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