Non-locality of conjugation symmetry: characterization and examples in quantum network sensing
New Journal of Physics(2023)
摘要
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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关键词
antiunitary symmetry,entanglement,real quantum theory,quantum parameter estimation,quantum network sensing
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