Journal
PHYSICAL REVIEW A
Volume 100, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.100.032112
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Funding
- DFG (Germany) [2016/23/G/ST2/04273]
- NCN (Poland) [2016/23/G/ST2/04273]
- Foundation for Polish Science (IRAP project ICTQT - EU via Smart Growth Operational Programme) [2018/MAB/5]
- National Research, Development and Innovation Office NKFIH [KH125096]
- NCN [DEC-2015/18/A/ST2/00274]
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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.
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