Multicopy quantum state teleportation with application to storage and retrieval of quantum programs
Abstract
This work considers a teleportation task for Alice and Bob in a scenario where Bob cannot perform corrections. In particular, we analyse the task of \textit{multicopy state teleportation}, where Alice has k identical copies of an arbitrary unknown d-dimensional qudit state |ψ⟩ to teleport a single copy of |ψ⟩ to Bob using a maximally entangled two-qudit state shared between Alice and Bob without Bob's correction. Alice may perform a joint measurement on her half of the entangled state and the k copies of |ψ⟩. We prove that the maximal probability of success for teleporting the exact state |ψ⟩ to Bob is p(d,k)=k/(d(k−1+d)) and present an explicit protocol to attain this performance. Then, by utilising k copies of an arbitrary target state |ψ⟩, we show how the multicopy state teleportation protocol can be employed to enhance the success probability of storage and retrieval of quantum programs, which aims to universally retrieve the action of an arbitrary quantum channel that is stored in a state. Our proofs make use of group representation theory methods, which may find applications beyond the problems addressed in this work.
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BibTeX
@article{grosshans2026multicopy,
title = {{Multicopy quantum state teleportation with application to storage and retrieval of quantum programs}},
author = {Frédéric Grosshans and Michał Horodecki and Mio Murao and Tomasz Młynik and Marco Túlio Quintino and Michał Studziński and Satoshi Yoshida},
journal = {Quantum},
year = {2026},
month = may,
doi = {10.22331/q-2026-05-13-2105},
eprint = {2409.10393},
archivePrefix = {arXiv},
url = {https://hal.science/hal-04704752v1},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Multicopy quantum state teleportation with application to storage and retrieval of quantum programs
AU - Frédéric Grosshans
AU - Michał Horodecki
AU - Mio Murao
AU - Tomasz Młynik
AU - Marco Túlio Quintino
AU - Michał Studziński
AU - Satoshi Yoshida
PY - 2026
DA - 2026/05/13
JO - Quantum
DO - 10.22331/q-2026-05-13-2105
UR - https://hal.science/hal-04704752v1
AB - This work considers a teleportation task for Alice and Bob in a scenario where Bob cannot perform corrections. In particular, we analyse the task of \textit{multicopy state teleportation}, where Alice has k identical copies of an arbitrary unknown d-dimensional qudit state |ψ⟩ to teleport a single copy of |ψ⟩ to Bob using a maximally entangled two-qudit state shared between Alice and Bob without Bob's correction. Alice may perform a joint measurement on her half of the entangled state and the k copies of |ψ⟩. We prove that the maximal probability of success for teleporting the exact state |ψ⟩ to Bob is p(d,k)=k/(d(k−1+d)) and present an explicit protocol to attain this performance. Then, by utilising k copies of an arbitrary target state |ψ⟩, we show how the multicopy state teleportation protocol can be employed to enhance the success probability of storage and retrieval of quantum programs, which aims to universally retrieve the action of an arbitrary quantum channel that is stored in a state. Our proofs make use of group representation theory methods, which may find applications beyond the problems addressed in this work.
SN - 2521-327X
ER -