5 problems
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Structural lifting conjecture for logarithmic coherence number
Let be a quantum state associated with a lifted graph, and let the logarithmic coherence number be defined for pure states by … with the mixed-state measure obtained by conv…
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Logarithmic coherence growth conjecture for iterated graph lifts
Let be a graph, let denote its -fold iterated lift, and let the relative entropy of coherence be measured for the corresponding lifted quantum syst…
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Hilbert–Schmidt coherence-populations trade-off conjecture for one-qudit states
Let be a density matrix of a one-qudit system of dimension , with diagonal populations for . Let…
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The coherence relative-entropy bound conjecture
Let denote the relative entropy of the resource state with respect to the convex hull of the free states, and let …
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Incoherent transformations of states induce LOCC transformations of maximally correlated states
Chitambar's conjecture. There exists an LOCC operation such that