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- Title
Quantum Marginal Inequalities and the Conjectured Entropic Inequalities.
- Authors
Zhang, Lin; He, Hongjin; Tao, Yuan-hong
- Abstract
A conjecture - the modified super-additivity inequality of relative entropy - was proposed in Zhang et al. (Phys. Lett. A 377:1794-1796, ): There exist three unitary operators $U_{A}\in \mathrm {U}(\mathcal {H}_{A}), U_{B}\in \mathrm {U}(\mathcal {H}_{B})$, and $U_{AB}\in \mathrm {U}(\mathcal {H}_{A}\otimes \mathcal {H}_{B})$ such that where the reference state σ is required to be full-ranked. A numerical study on the conjectured inequality is conducted in this note. The results obtained indicate that the modified super-additivity inequality of relative entropy seems to hold for all qubit pairs.
- Subjects
QUANTUM mechanics; QUANTUM entropy; ADDITIVITY principle (Gibbs' free energy); NUMERICAL analysis; QUBITS
- Publication
International Journal of Theoretical Physics, 2014, Vol 53, Issue 9, p2959
- ISSN
0020-7748
- Publication type
Article
- DOI
10.1007/s10773-014-2093-x