K-uniform mixed states

Waldemar Kłobus, Adam Burchardt, Adrian Kołodziejski, Mahasweta Pandit, Tamás Vértesi, Karol Zyczkowski, Wiesław Laskowski

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We investigate the maximum purity that can be achieved by k-uniform mixed states of N parties. Such N-party states have the property that all their k-party reduced states are maximally mixed. A scheme to construct explicitly k-uniform states using a set of specific N-qubit Pauli matrices is proposed. We provide several different examples of such states and demonstrate that in some cases the state corresponds to a particular orthogonal array. The obtained states, despite being mixed, reveal strong nonclassical properties such as genuine multipartite entanglement or violation of Bell inequalities.

Original languageEnglish
Article number032112
JournalPhysical Review A
Issue number3
Publication statusPublished - Sep 16 2019

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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    Kłobus, W., Burchardt, A., Kołodziejski, A., Pandit, M., Vértesi, T., Zyczkowski, K., & Laskowski, W. (2019). K-uniform mixed states. Physical Review A, 100(3), [032112]. https://doi.org/10.1103/PhysRevA.100.032112