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Peng-Hui Yao, Ze-Kun Ye. On Optimal Local Discrimination Algorithm of Two-Qubit Unitary Operations[J]. Journal of Computer Science and Technology. DOI: 10.1007/s11390-025-4120-1
Citation: Peng-Hui Yao, Ze-Kun Ye. On Optimal Local Discrimination Algorithm of Two-Qubit Unitary Operations[J]. Journal of Computer Science and Technology. DOI: 10.1007/s11390-025-4120-1
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On Optimal Local Discrimination Algorithm of Two-Qubit Unitary Operations

  • 1.

    State Key Laboratory for Novel Software Technology, Nanjing University, Nanjing 210023, China

  • 2.

    Hefei National Laboratory, Hefei 230088, China

Funds: This work is supported by National Natural Science Foundation of China under Grant No. 62332009, 12347104, 61972191, and Innovation Program for Quantum Science and Technology under Grant No. 2021ZD0302901.
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  • Received Date: January 11, 2024
  • Revised Date: November 23, 2024
  • Accepted Date: January 18, 2025
    Abstract

  • It has been known that two different bipartite unitary operations are perfectly distinguishable by local operations and classical communication (LOCC) when a finite number of queries is allowed. However, it is still a longstanding open problem to determine the optimal number of queries needed to distinguish bipartite unitary operations perfectly by LOCC since 2007. In this paper, we show that if two two-qubit unitary operations are perfectly distinguishable using T queries, they are also perfectly distinguishable in the LOCC scenario using ⌈6π⋅T⌉ queries. As a result, LOCC operations are as powerful as global operations when using constant times the number of queries for the perfect discrimination of two-qubit unitary operations.

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