Quantum-correlating power of local quantum channels
arXiv:1203.6149 · doi:10.1103/PhysRevA.87.032340
Abstract
Quantum correlation can be created by local operations from a classically correlated state. We define quantum-correlating power (QCP) of a local quantum channel as the maximum amount of quantum correlation that can be created by the channel. The quantum correlation that we discuss in this article is defined on the left part of the bipartite state. We prove that for any local channel, the optimal input state, which corresponds to the maximum quantum correlation in the output state, must be a classical-classical state. Further, the single-qubit channels with maximum QCP can be found in the class of rank-1 channels which take their optimal input states to rank-2 quantum-classical states. The analytic expression for QCP of single-qubit amplitude damping channel is obtained. Super-activation property of QCP, i.e., two zero-QCP channels can consist a positive-QCP channel, is discussed for single-qubit phase damping channels.
5pages, 2 figures. Comments are welcome
References in corpus (8)
- Quantum discord and the power of one qubit
- Necessary and sufficient condition for non-zero quantum discord
- Linking Quantum Discord to Entanglement in a Measurement
- All non-classical correlations can be activated into distillable entanglement
- Operational Significance of Discord Consumption: Theory and Experiment
- Quantum discord bounds the amount of distributed entanglement
- Quantum cost for sending entanglement
- Entanglement irreversibility from quantum discord and quantum deficit
Cited by in corpus (8)
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- Non-classicalities via perturbing local unitary operations
- Quantum correlation cost of the weak measurement
- Information Theoretic Resources in Quantum Theory