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quant-ph2018★ 7 cited
Separability gap and large deviation entanglement criterion
Jakub Czartowski, Konrad Szymański, Bartłomiej Gardas +2
For a given Hamiltonian on a multipartite quantum system, one is interested in finding the energy of its ground state. In the separability approximation, arising as a nat…
quant-ph2018
Geometric and algebraic origins of additive uncertainty relations
Konrad Szymański, Karol Życzkowski
Constructive techniques to establish state-independent uncertainty relations for the sum of variances of arbitrary two observables are presented. We investigate the range of simult…
quant-ph2016★ 6 cited
Convex set of quantum states with positive partial transpose analysed by hit and run algorithm
Konrad Szymański, Benoît Collins, Tomasz Szarek +1
The convex set of quantum states of a composite system with positive partial transpose is analysed. A version of the hit and run algorithm is used to generate a sequen…