Non-locality of conjugation symmetry: characterization and examples in quantum network sensing

• URL: http://arxiv.org/abs/2309.12523v2
• Date: Thu, 30 May 2024 10:49:45 GMT
• Title: Non-locality of conjugation symmetry: characterization and examples in quantum network sensing
• Authors: Jisho Miyazaki, Seiseki Akibue,
• Abstract summary: We analyze the non-local resources necessary for implementing conjugation-symmetric measurements on quantum networks. We derive conditions under which a given multipartite conjugation can have locally implementable symmetric measurements.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: Some quantum information processing protocols necessitate quantum operations that are invariant under complex conjugation. In this study, we analyze the non-local resources necessary for implementing conjugation-symmetric measurements on multipartite quantum networks. We derive conditions under which a given multipartite conjugation can have locally implementable symmetric measurements. In particular, a family of numbers called the ``magic-basis spectrum'' comprehensively characterizes the local measurability of a given 2-qubit conjugation, as well as any other properties that are invariant under local unitary transformations. We also explore the non-local resources required for optimal measurements on known quantum sensor networks by using their conjugation symmetries as a guide.

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