k -uniform mixed states
Abstract
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.
- Publication:
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Physical Review A
- Pub Date:
- September 2019
- DOI:
- 10.1103/PhysRevA.100.032112
- arXiv:
- arXiv:1906.01311
- Bibcode:
- 2019PhRvA.100c2112K
- Keywords:
-
- Quantum Physics
- E-Print:
- 10 pages, 2 figures, journal version