Entanglement wedge reconstruction and correlation measures in mixed states: Modular flows versus quantum recovery channels

Maximal entanglement versus entropy for mixed quantum states

Tzu-Chieh Wei, Kae Nemoto, Paul M. Goldbart, Paul G. Kwiat, William J. Munro, and Frank Verstraete Department of Physics, University of Illinois at Urbana-Champaign, 1110 West Green Street, Urbana, Illinois 61801-3080 Informatics, Bangor University, Bangor LL57 1UT, United Kingdom Hewlett-Packard Laboratories, Filton Road, Stoke Gifford, Bristol, BS34 SQ2, United Kingdom Department of Mathemati...

Bounding Polynomial Entanglement Measures for Mixed States

Quantum entanglement and wedge product

In this paper, I will derive a measure of entanglement that coincides with the generalized concurrence for a general pure bi-and three-partite state based on wedge product. I will show that a further generalization of this idea to a general pure multipartite state with more than three subsystems will fail to quantify entanglement, but it defines the set of separable state for such composite state.

Optimal entanglement criterion for mixed quantum states.

We develop a strong and computationally simple entanglement criterion. The criterion is based on an elementary positive map Phi which operates on state spaces with even dimension N > or = 4. It is shown that Phi detects many entangled states with a positive partial transposition (PPT) and that it leads to a class of optimal entanglement witnesses. This implies that there are no other witnesses ...

Minimum-correlation mixed quantum states

We consider states leading to the equality sign in the uncertainty inequalities associated with correlations in open quantum systems which have been recently derived by Ponomarenko and Wolf @Phys. Rev. A 63, 062106 ~2001!#. The new inequalities involve fluctuations defined in terms of the square of the density operator that characterizes mixed states. We find the minimum-correlation states asso...