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• W2912153369 abstract "We study the verification of maximally entangled states by virtue of the simplest measurement settings: local projective measurements without adaption. We show that optimal protocols are in one-to-one correspondence with complex projective 2-designs constructed from orthonormal bases. Optimal protocols with minimal measurement settings are in one-to-one correspondence with complete sets of mutually unbiased bases. Based on this observation, optimal protocols are constructed explicitly for any local dimension, which can also be applied to estimating the fidelity with the target state and to detecting entanglement. In addition, we show that incomplete sets of mutually unbiased bases are optimal for verifying maximally entangled states when the number of measurement settings is restricted. Moreover, we construct optimal protocols for the adversarial scenario in which state preparation is not trusted. The number of tests has the same scaling behavior as the counterpart for the nonadversarial scenario; the overhead is no more than three times. We also show that the entanglement of the maximally entangled state can be certified with any given significance level using only one test as long as the local dimension is large enough." @default.
• W2912153369 created "2019-02-21" @default.
• W2912153369 creator A5024634142 @default.
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• W2912153369 date "2019-05-28" @default.
• W2912153369 modified "2023-10-14" @default.
• W2912153369 title "Optimal verification and fidelity estimation of maximally entangled states" @default.
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• W2912153369 doi "https://doi.org/10.1103/physreva.99.052346" @default.
• W2912153369 hasPublicationYear "2019" @default.
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