SAMOP 2023 – scientific programme

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QI: Fachverband Quanteninformation

QI 25: Quantum Entanglement II

QI 25.4: Talk

Thursday, March 9, 2023, 11:45–12:00, B302

Constructing generalized SSC witnesses for bound entangled Bell-diagonal states of unequal local dimensions — •Johannes Moerland^{1, 2}, Nikolai Wyderka¹, Hermann Kampermann¹, and Dagmar Bruß¹ — ¹Institut für Theoretische Physik III, Heinrich-Heine-Universität Düsseldorf, Universitätsstr. 1, D-40225 Düsseldorf, Germany — ²Universität Göttingen, Friedrich-Hund-Platz 1, D-37073 Göttingen, Germany

We extend a class of bipartite mixed quantum states, so-called Bell diagonal states, to the case where the dimensions of the subsystems do not match. These states are canonically expressed in a unitary operator basis. To investigate their entanglement properties, we generalize a separability criterion originally derived for hermitian operator bases by Sarbicki, Scala and Chruściński to the case of non-hermitian bases. We then construct entanglement witnesses for arbitrary bipartite quantum states that are equivalent to said separability criterion. While for Bell diagonal states with subsystems of matching dimension our results are equivalent to the CCNR criterion, we show that our witnesses outperform CCNR by constructing appropriate bound entangled states of unequal dimensions.