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In terms of upper bound, it is sufficient for Bob to use only rank-one POVM elements for the measurement since the mutual information will not decrease when Bob's POVM elements are refined into rank-one POVM elements. However, the nontrivial lower bound in the figure exists only when Bob's POVM elements are rank one.
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In terms of upper bound, it is sufficient for Bob to use only rank-one POVM elements for the measurement since the mutual information will not decrease when Bob's POVM elements are refined into rank-one POVM elements. However, the nontrivial lower bound in the figure exists only when Bob's POVM elements are rank one.
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Inequality 28 is closely related to Eq. (78) in with a specified choice of the signal states, and we suspect that our analysis may also be generalized to derive results similar to Eq. (77) in for measurements on correlated pairs of particles.
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Inequality 28 is closely related to Eq. (78) in with a specified choice of the signal states, and we suspect that our analysis may also be generalized to derive results similar to Eq. (77) in for measurements on correlated pairs of particles.
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