Approximate broadcasting of quantum correlations
arXiv:1705.06071 · doi:10.1103/PhysRevA.96.022302
Abstract
Broadcasting quantum and classical information is a basic task in quantum information processing, and is also a useful model in the study of quantum correlations including quantum discord. We establish a full operational characterization of two-sided quantum discord in terms of bilocal broadcasting of quantum correlations. Moreover, we show that both the optimal fidelity of unilocal broadcasting of the correlations in an arbitrary bipartite quantum state and that of broadcasting an arbitrary set of quantum states can be formulized as semidefinite programs (SDPs), which are efficiently computable. We also analyze some properties of these SDPs and evaluate the broadcasting fidelities for some cases of interest.
9 pages, comments are welcome; published version
References in corpus (12)
- Quantum discord and the power of one qubit
- A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
- No-local-broadcasting theorem for quantum correlations
- Interpreting quantum discord through quantum state merging
- Operational interpretations of quantum discord
- A Sharp Fannes-type Inequality for the von Neumann Entropy
- Linking Quantum Discord to Entanglement in a Measurement
- Quantum discord bounds the amount of distributed entanglement
- Quantum cost for sending entanglement
- Quantum discord as a resource in quantum communication
- Quantumness of correlations, quantumness of ensembles and quantum data hiding
- Indistinguishability of bipartite states by positive-partial-transpose operations in the many-copy scenario