Observable estimation of entanglement of formation and quantum discord for bipartite mixed quantum states

Abstract

We present observable lower and upper bounds for the entanglement of formation (EOF) and quantum discord (QD), which facilitates estimates of EOF and QD for arbitrary experimental unknown states in finite-dimensional bipartite systems. These bounds can be easily obtained by a few experimental measurements on a twofold copy $\varrho \otimes \varrho$ of the mixed states. Based on our results, we use the experimental measurement data of the real experiment given by Schmid \textit{et al.} [Phys. Rev. Lett. \textbf{101}, 260505 (2008)] to obtain the lower and upper bounds of EOF and QD for the experimental unknown state.

8 pages, 5 figures

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• Quantum discord and non-Markovianity of quantum dynamics
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• On two-qubit states ordering with quantum discords
• Multipartite Quantum Correlations in Open Quantum Systems
• Characterizing mixed state entanglement through single-photon interference
• One-photon measurement of two-photon entanglement
• Improved lower and upper bounds for entanglement of formation
• Reducing Computational Complexity of Quantum Correlations
• Evaluation of entanglement measures by a single observable
• Lower and upper bounds for entanglement of Rényi-$\alpha$ entropy
• Geometric measure of quantum discord and the geometry of a class of two-qubit states
• Multipartite quantum and classical correlations in symmetric n-qubit mixed states
• Uncertainty relations between quantum Fisher information and entanglement monotones
• Weak Schmidt decomposition and generalized Bell basis related to Hadamard matrices