Work

Controlled Bidirectional Remote Implementation of Arbitrary Unknown Single-Qubit Operations via a High-Dimensional Quantum Channel

Year: 2026

Type: article

Abstract: Consider two remote laboratories: Alice holds an unknown input |ξ⟩ and a private single-qubit unitary UA, while Bob holds |η⟩ and UB. We present an exact local-operations-and-classical-communication protocol that produces UB|ξ⟩ at Alice’s site and UA|η⟩ at Bob’s site only after the controller labels are released. A five-qubit channel first relocates the input states; operation delivery then uses a five-particle channel of local dimension d, a 2d-outcome nonsymmetric qubit–qudit measurement, and label-dependent inverse maps. We give the qutrit case explicitly and one correction formula for arbitrary d. A dual-layer construction lets Charlie authorize both directions, while David and Fiona authorize one direction each. In the ideal lossless model, all admissible branches have recovery maps and their probabilities sum to unity. The basic qutrit protocol uses ten entangled carriers and 13 fixed-length classical bits; the dual-layer protocol uses fourteen carriers and 19 bits. Thus, dimensional flexibility and direction-selective control are obtained at increased resource-protection and signaling costs. This is an exact theoretical remote-operation construction, not an experimentally mature or composably secure communication protocol.

Source: Applied Sciences

DOI: 10.3390/app16189105

Authors: Miao Liu, Zhaoyuan Zhang, Jiayin Peng, Jiangang Tang

Institution: Yili Normal University

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: Natural Science Foundation of Xinjiang Province