Necessary conditions on effective quantum entanglement catalysts
arXiv:2110.15699 · doi:10.1007/s11128-021-03293-9
Abstract
Quantum catalytic transformations play important roles in the transformation of quantum entangled states under local operations and classical communications (LOCC). The key problems in catalytic transformations are the existence and the bounds on the catalytic states. We present the necessary conditions of catalytic states based on a set of points given by the Schmidt coefficients of the entangled source and target states. The lower bounds on the dimensions of the catalytic states are also investigated. Moreover, we give a detailed protocol of quantum mixed state transformation under entanglement-assisted LOCC.
References in corpus (19)
- Quantum entanglement
- Quantum Resource Theories
- Conditions for a class of entanglement transformations
- Entanglement of pure states for a single copy
- Entanglement-assisted local manipulation of pure quantum states
- Embezzling Entangled Quantum States
- Necessary and Sufficient Conditions for the Trumping Relation
- Catalytic Conversion Probabilities for Bipartite Pure States
- The trumping relation and the structure of the bipartite entangled states
- Catalysis of entanglement manipulation for mixed states
- Non-full rank bound entangled states satisfying the range criterion
- Deconstruction and conditional erasure of quantum correlations
- Necessary conditions on entanglement catalysts
- Disentanglement Cost of Quantum States
- Approximate Majorization
- Complexity of causal order structure in distributed quantum information processing and its trade-off with entanglement
- Supercatalysis
- When Catalysis is Useful for Probabilistic Entanglement Transformation
- Bounds On Entanglement Catalysts