# Mutually unbiased bases and bound entanglement

@article{Hiesmayr2013MutuallyUB, title={Mutually unbiased bases and bound entanglement}, author={Beatrix C. Hiesmayr and Wolfgang Loffler}, journal={Physica Scripta}, year={2013}, volume={2014}, pages={014017} }

In this contribution we relate two different key concepts: mutually unbiased bases (MUBs) and entanglement. We provide a general toolbox for analyzing and comparing entanglement of quantum states for different dimensions and numbers of particles. In particular we focus on bound entanglement, i.e. highly mixed states which cannot be distilled by local operations and classical communications. For a certain class of states—for which the state-space forms a 'magic' simplex—we analyze the set of…

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## 9 Citations

Mutually Unbiased Quantum Bases : Existence , Entanglement , Information

- Computer Science
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The difficulties of those approaches to the existence problem which employ Hadamard matrices are explored and new general results are derived for the connection between MUBs and Unitary Operator Bases and the role of entanglement is explored.

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A quantum information theoretic version of the Klein-Nishina formula that singles out the quantity, the a priori visibility, that quantifies the ability to deduce the polarisation property of single photons.

Ju l 2 01 8 Witnessing Entanglement In Compton Scattering Processes Via Mutually Unbiased Bases

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- 2018

We present a quantum information theoretic version of the Klein-Nishina formula. This formulation singles out the quantity, the a priori visibility, that quantifies the ability to deduce the…

Optimization of device-independent witnesses of entanglement depth from two-body correlators

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- 2019

The problem of finding the $k$-producible bounds of such DIWEDs under different assumptions is considered, not surprisingly, with the weakest assumptions, only for a relatively small number of parties; however, one can still learn interesting features from these solutions that motivate the search on larger systems under the assumption that these features persist.

Free versus Bound Entanglement: Machine learning tackling a NP-hard problem

- Computer Science, Physics
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A large family of magically symmetric states of bipartite qutrits is defined, which shows that this kind of entanglement is not rare, and reveals that there is a strong 2-dimensional (linear) sub-structure in the set of bound entangled states.

Separability of diagonal symmetric states: a quadratic conic optimization problem

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We study the separability problem in mixtures of Dicke states i.e., the separability of the so-called Diagonal Symmetric (DS) states. First, we show that separability in the case of DS in $C^d\otimes…

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Entanglement detection in high dimensional systems is a NP-hard problem since it is lacking an efficient way. Given a bipartite quantum state of interest free entanglement can be detected efficiently…

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