A Bank supplies GHZ or W-class entanglement to restore deterministic perfect teleportation from non-maximally entangled pairs via measurement-broadcast or transfer models.
Klimesh, Inequalities that Collectively Completely Characterize the Catalytic Majorization Relation (2007), arXiv:0709.3680 [quant-ph]
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abstract
For probability vectors x and y, the catalytic majorization relation x prec_T y is defined to hold when there exists a probability vector z such that x otimes z is majorized by y otimes z. In this paper, an infinite family of functions is given such that, subject to some trivial restrictions, x prec_T y if and only if f_r(x) < f_r(y) for all functions f_r in the family. An outline of a proof of this result is provided. The catalytic majorization relation is known to provide a determination of which transformations of jointly held pure quantum states are possible using local operations and classical communication when an additional jointly held state may be specified to facilitate the transformation without being consumed.
verdicts
UNVERDICTED 4representative citing papers
Covariant Gibbs-preserving operations are characterized by free energy for coherent states with correlated catalysts; covariance adds no extra constraint on convertibility for coherent distillable states.
Any family of entropy-like functions that fully characterizes the second laws of majorization must be countably infinite when the state space is sufficiently large.
Non-additive divergences yield explicit catalyst corrections in quantum thermodynamic second laws and show that reduced-state monotones are insufficient to characterize accessibility in correlated catalysis.
citing papers explorer
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Assisted quantum teleportation
A Bank supplies GHZ or W-class entanglement to restore deterministic perfect teleportation from non-maximally entangled pairs via measurement-broadcast or transfer models.
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Quantum thermodynamics with coherence: Covariant Gibbs-preserving operation is characterized by the free energy
Covariant Gibbs-preserving operations are characterized by free energy for coherent states with correlated catalysts; covariance adds no extra constraint on convertibility for coherent distillable states.
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Majorization requires infinitely many second laws
Any family of entropy-like functions that fully characterizes the second laws of majorization must be countably infinite when the state space is sufficiently large.
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Catalytic quantum thermodynamics beyond additivity and reduced-state monotones
Non-additive divergences yield explicit catalyst corrections in quantum thermodynamic second laws and show that reduced-state monotones are insufficient to characterize accessibility in correlated catalysis.