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- W2547555194 abstract "We prove that states saturate the p->q norms of the one-mode quantum-limited attenuator and amplifier. The proof starts from the majorization result of De Palma et al., IEEE Trans. Inf. Theory 62, 2895 (2016), and is based on a new logarithmic Sobolev inequality. Our result extends to noncommutative probability the seminal theorem Gaussian kernels have only maximizers (Lieb, Invent. Math. 102, 179 (1990)), stating that operators saturate the p->q norms of integral kernels. Our result also implies that the p->q norms of the thinning are saturated by geometric probability distributions. Moreover, the multimode extension of our result would imply the multiplicativity of the p->q norms of quantum-limited channels." @default.
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- W2547555194 date "2016-10-31" @default.
- W2547555194 modified "2023-09-27" @default.
- W2547555194 title "One-mode quantum-limited Gaussian channels have Gaussian maximizers" @default.
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