Temporal State Tomography via Quantum Snapshotting the Temporal Quasiprobabilities
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.
Related
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BibTeX
@misc{jia2026temporal,
title = {{Temporal State Tomography via Quantum Snapshotting the Temporal Quasiprobabilities}},
author = {Zhian Jia},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2605.02655},
eprint = {2605.02655},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.02655},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Temporal State Tomography via Quantum Snapshotting the Temporal Quasiprobabilities
AU - Zhian Jia
PY - 2026
DA - 2026/09/28
PB - arXiv
DO - 10.48550/arxiv.2605.02655
UR - https://arxiv.org/abs/2605.02655
AB - 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.
ER -