Probabilistic Storage and Retrieval of Quantum Superchannels for "Retrospective" Intervention
Abstract
Storing an unknown quantum computation in a quantum state and retrieving it at a desired later time is a challenging task, hindered by the no-programming theorem of quantum computations. In the previous studies on the task of probabilistic storage-and-retrieval (pSAR) of quantum channels, the maximum probability of exactly retrieving a single unknown unitary channel from a quantum state in which the unknown unitary has been encoded via multiple calls to the unknown unitary channel is derived. In this work, we consider a higher-order version of pSAR, the probabilistic storage-and-retrieval of definite-causal unitary superchannels, which are physically modeled by sequences of unitary channels with open slots where arbitrary channels can be inserted between the unitary channels for intervention. This task requires activating the "retrospective'' intervention functionality on the superchannel, beyond its normal intervention functionality. We propose two protocols: partial teleportation, which is supported by our numerical results for the small queries, and staircase backstitch, which achieves unit success probability asymptotically as the number of queries increases. We also derive a universal inversion protocol for unitary superchannels.
Related
- Sequential Retrieval in Dense Associative Memory: Asymptotic Dynamics and Storage Capacity
- Multicopy quantum state teleportation with application to storage and retrieval of quantum programs
- Quantum and Classical Memory for Storage and Retrieval of Quantum Measurements
- Simulation of quantum entangled states by classical probabilistic models
- Effects of Quantum Noise and Source Blurring on Dark-Field Signal Retrieval in X-ray Speckle-Based Imaging
BibTeX
@misc{yokojima2026probabilistic,
title = {{Probabilistic Storage and Retrieval of Quantum Superchannels for "Retrospective" Intervention}},
author = {Wataru Yokojima and Jisho Miyazaki and Mio Murao},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2606.22343},
eprint = {2606.22343},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.22343},
}
RIS
TY - UNPB
TI - Probabilistic Storage and Retrieval of Quantum Superchannels for "Retrospective" Intervention
AU - Wataru Yokojima
AU - Jisho Miyazaki
AU - Mio Murao
PY - 2026
DA - 2026/09/29
PB - arXiv
DO - 10.48550/arxiv.2606.22343
UR - https://arxiv.org/abs/2606.22343
AB - Storing an unknown quantum computation in a quantum state and retrieving it at a desired later time is a challenging task, hindered by the no-programming theorem of quantum computations. In the previous studies on the task of probabilistic storage-and-retrieval (pSAR) of quantum channels, the maximum probability of exactly retrieving a single unknown unitary channel from a quantum state in which the unknown unitary has been encoded via multiple calls to the unknown unitary channel is derived. In this work, we consider a higher-order version of pSAR, the probabilistic storage-and-retrieval of definite-causal unitary superchannels, which are physically modeled by sequences of unitary channels with open slots where arbitrary channels can be inserted between the unitary channels for intervention. This task requires activating the "retrospective'' intervention functionality on the superchannel, beyond its normal intervention functionality. We propose two protocols: partial teleportation, which is supported by our numerical results for the small queries, and staircase backstitch, which achieves unit success probability asymptotically as the number of queries increases. We also derive a universal inversion protocol for unitary superchannels.
ER -