326 citations
- Max Planck Institute for MathematicsDE33 papers
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10 papers · 1 filter
A Note on Quantum Entanglement and PPT
Shao-Ming Fei, Xianqing Li-Jost
We study quantum states for which the PPT criterion is both sufficient and necessary for separability. We present a class of 3x3 bipartite mixed states and show that these states a…
Convex Trace Functions on Quantum Channels and the Additivity Conjecture
Markus Mueller
We study a natural generalization of the additivity problem in quantum information theory: given a pair of quantum channels, then what is the set of convex trace functions that att…
Lossless Quantum Prefix Compression for Communication Channels that are Always Open
Markus Mueller, Caroline Rogers, Rajagopal Nagarajan
We describe a method for lossless quantum compression if the output of the information source is not known. We compute the best possible compression rate, minimizing the expected b…
Representation Class and Geometrical Invariants of Quantum States under Local Unitary Transformations
Zu-Huan Yu, Xian-Qing Li-Jost, Shao-Ming Fei
We investigate the equivalence of bipartite quantum mixed states under local unitary transformations by introducing representation classes from a geometrical approach. It is shown…
Local Equivalence of Rank-Two Quantum Mixed States
Sergio Albeverio, Shao-Ming Fei, Debashish Goswami
We investigate the equivalence of quantum mixed states under local unitary transformations. For a class of rank-two mixed states, a sufficient and necessary condition of local equi…
Addendum to "Multipartite states under local unitary transformations"
Sergio Albeverio, Laura Cattaneo, Shao-Ming Fei +1
In previous work the authors introduced a notion of generic states and obtained criteria for local equivalence of them. Here they introduce the concept of CHG states maintaining th…