Operational Discord Measure for Gaussian States with Gaussian Measurements
arXiv:1502.02331 · doi:10.1088/1367-2630/17/6/063037
Abstract
We introduce an operational discord-type measure for quantifying nonclassical correlations in bipartite Gaussian states based on using Gaussian measurements. We refer to this measure as operational Gaussian discord (OGD). It is defined as the difference between the entropies of two conditional probability distributions associated to one subsystem, which are obtained by performing optimal local and joint Gaussian measurements. We demonstrate the operational significance of this measure in terms of a Gaussian quantum protocol for extracting maximal information about an encoded classical signal. As examples, we calculate OGD for several Gaussian states in the standard form.
18 pages, 3 figures
References in corpus (12)
- Quantum discord and the power of one qubit
- Entanglement in continuous variable systems: Recent advances and current perspectives
- Interpreting quantum discord through quantum state merging
- Operational interpretations of 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
- Ultimate communication capacity of quantum optical channels by solving the Gaussian minimum-entropy conjecture
- Discrimination of the binary coherent signal: Gaussian-operation limit and simple non-Gaussian near-optimal receivers
- Quantum state majorization at the output of bosonic Gaussian channels
- Gaussian localizable entanglement
- Verification of quantum discord