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- W4300835170 abstract "The Quantum Substate Theorem due to Jain, Radhakrishnan, and Sen (2002) gives us a powerful operational interpretation of relative entropy, in fact, of the observational divergence of two quantum states, a quantity that is related to their relative entropy. Informally, the theorem states that if the observational divergence between two quantum states rho, sigma is small, then there is a quantum state rho' close to rho in trace distance, such that rho' when scaled down by a small factor becomes a substate of sigma. We present new proofs of this theorem. The resulting statement is optimal up to a constant factor in its dependence on observational divergence. In addition, the proofs are both conceptually simpler and significantly shorter than the earlier proof." @default.
- W4300835170 created "2022-10-04" @default.
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- W4300835170 date "2011-03-30" @default.
- W4300835170 modified "2023-09-30" @default.
- W4300835170 title "Short proofs of the Quantum Substate Theorem" @default.
- W4300835170 doi "https://doi.org/10.48550/arxiv.1103.6067" @default.
- W4300835170 hasPublicationYear "2011" @default.
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