2 problems

Uniform tight continuity bound for von Neumann entropy
Consider a Hilbert space ${\mathcal{H}}$ of finite dimension $d=|{\mathcal{H}}|$ . Let $\rho$ and $\sigma$ be states on $\mathcal{H}$ . Define … The function $f_d(\varepsilon,\nu)$ i…
openFrom paperscontinuity-bounds entropy quantum-information
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21
Christandl–Ferrara–Lancien continuity conjecture for filtered relative entropy
Christandl–Ferrara–Lancien's conjecture. There should exist a universal constant $\kappa$ and a function $g:[0,1]\to\mathbb{R}_+$ with
openFrom paperscontinuity-bounds quantum-information relative-entropy
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5

Uniform tight continuity bound for von Neumann entropy