Conditions for entanglement transformation between a class of multipartite pure states with generalized Schmidt decompositions
arXiv:0707.1947 · doi:10.1103/PhysRevA.76.044301
Abstract
In this note we generalize Nielsen's marjoization criterion for the convertibility of bipartite pure states [Phys. Rev. Lett \textbf{83}, 436(1999)] to a special class of multipartite pure states which have generalized Schmidt decompositions.
arXiv comment3 pages (Revetex 4), no figures. A brief note on entanglement transformation. Comments are welcome
References in corpus (21)
- Concentrating Partial Entanglement by Local Operations
- Conditions for a class of entanglement transformations
- Exact and Asymptotic Measures of Multipartite Pure State Entanglement
- Entanglement of pure states for a single copy
- Entanglement-assisted local manipulation of pure quantum states
- Minimal conditions for local pure-state entanglement manipulation
- Entanglement of assistance and multipartite state distillation
- Approximate transformations and robust manipulation of bipartite pure state entanglement
- On Multipartite Pure-State Entanglement
- Higher order Schmidt decompositions
- The trumping relation and the structure of the bipartite entangled states
- Recovery of entanglement lost in entanglement manipulation
- Classification of GHZ-type, W-type and GHZ-W-type multiqubit entanglements
- A Simple Algorithm for Local Conversion of Pure States
- A classification of incomparable states
- Catalyst-assisted Probabilistic Entanglement Transformation
- Entanglement-assisted transformation is asymptotically equivalent to multiple-copy transformation
- Entanglement convertibility for infinite dimensional pure bipartite states
- Relation Between Catalyst-assisted Entanglement Transformation and Multiple-copy Transformation
- Trade-off between multiple-copy transformation and entanglement catalysis
- When Catalysis is Useful for Probabilistic Entanglement Transformation
Cited by in corpus (6)
- Transformations of -Type Entangled States
- Deterministic Transformations of Multipartite Entangled States with Tensor Rank 2
- Dephasing-Covariant Operations Enable Asymptotic Reversibility of Quantum Resources
- Round Complexity in the Local Transformations of Quantum and Classical States
- Bounds on probability of transformations between multi-partite pure states
- Statistics of Entanglement Transformation with Hierarchies among Catalysts