Erlangen 2018 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 33: Quantum Information (Concepts and Methods) III

Q 33.7: Talk

Tuesday, March 6, 2018, 15:45–16:00, K 1.019

Even and odd components of correlations in multi-qubit systems — •Nikolai Wyderka, Felix Huber, and Otfried Gühne — Naturwissenschaftlich Technische Fakultät, Universität Siegen, Walter-Flex-Str. 3, D-57068 Siegen, Germany

In multi-particle quantum systems correlations can arise between different sets of particles. A possible strategy is to divide the global correlations into two components, depending on the question whether they affect an odd or an even number of particles. For pure multi-qubit states we prove that these two components are inextricably interwoven and often one type of correlations completely determines the other. As an application, we prove that all pure qubit states with an odd number of qubits are uniquely determined among all mixed states by the odd component of the correlations. In addition, our approach leads to invariants under the time evolution with Hamiltonians containing only odd correlations and can simplify entanglement detection.