Work

One-to-One Correspondence Between Deterministic Port-Based Teleportation and Unitary Estimation

Year: 2026

Type: article

Abstract: Port-based teleportation is a variant of quantum teleportation, where the receiver can choose one of the ports in his part of the entangled state shared with the sender, but cannot apply other recovery operations.We show that the optimal fidelity of deterministic port-based teleportation (dPBT) usingN=n+ 1 ports to teleport ad-dimensional state is equivalent to the optimal fidelity ofd-dimensional unitary estimation using n calls of the input unitary operation. From any given dPBT, we can explicitly construct the corresponding unitary estimation protocol achieving the same optimal fidelity, and vice versa. Using the obtained one-to-one correspondence between dPBT and unitary estimation, we derive the asymptotic optimal fidelity of port-based teleportation given by 1 −O(d4)N−2≤F≤ 1−Ω(d4)N−2, which improves the previously known result given by 1 −O(d5)N−2≤ F ≤ 1 − Ω(d2)N−2. We also show that the optimal fidelity of unitary estimation for the case n ≤ d − 1 isF= n+1/d2, and this fidelity is equal to the optimal fidelity of unitary inversion withn≤d− 1 calls of the input unitary operation even if we allow indefinite causal order among the calls.

Source: IEEE Transactions on Information Theory

DOI: 10.1109/tit.2026.3658543

Authors: Satoshi Yoshida, Yuki Koizumi, Michał Studziński, Marco Túlio Quintino, Mio Murao

Institutions: The University of Tokyo, University of Gdańsk, Centre National de la Recherche Scientifique, Sorbonne Université, LIP6

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,645

Funders: Ministry of Education, Culture, Sports, Science and Technology, University of Tokyo, Japan Society for the Promotion of Science