An additive and operational entanglement measure: conditional entanglement of mutual information
arXiv:0804.3683 · doi:10.1103/PhysRevLett.101.140501
Abstract
Based on the monogamy of entanglement, we develop the technique of quantum conditioning to build an {\it additive} entanglement measure: the conditional entanglement of mutual information. Its {\it operational} meaning is elaborated to be the minimal net "flow of qubits" in the process of partial state merging. The result and conclusion can also be generalized to multipartite entanglement cases.
5 pages, 4 figures
References in corpus (11)
- Mixed State Entanglement and Quantum Error Correction
- A computable measure of entanglement
- Classical, quantum and total correlations
- Quantifying Entanglement
- The logarithmic negativity: A full entanglement monotone that is not convex
- On the volume of the set of mixed entangled states
- Entanglement monotones
- Quantum information can be negative
- Entanglement Measures under Symmetry
- "Squashed Entanglement" - An Additive Entanglement Measure
- The asymptotic entanglement cost of preparing a quantum state
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