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Phys. Rev. A 77, 060304(R) (2008) [4 pages]

Maximally multipartite entangled states

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Paolo Facchi1,2, Giuseppe Florio3,2, Giorgio Parisi4, and Saverio Pascazio3,2
1Dipartimento di Matematica, Università di Bari, I-70125 Bari, Italy
2INFN, Sezione di Bari, I-70126 Bari, Italy
3Dipartimento di Fisica, Università di Bari, I-70126 Bari, Italy
4Dipartimento di Fisica, Università di Roma “La Sapienza,” Piazzale Aldo Moro 2, 00185 Roma, Italy; Centre for Statistical Mechanics and Complexity (SMC), CNR-INFM, 00185 Roma, Italy; and INFN, Sezione di Roma, 00185 Roma, Italy

Received 16 October 2007; revised 11 February 2008; published 11 June 2008

We introduce the notion of maximally multipartite entangled states of n qubits as a generalization of the bipartite case. These pure states have a bipartite entanglement that does not depend on the bipartition and is maximal for all possible bipartitions. They are solutions of a minimization problem. Examples for small n are investigated, both analytically and numerically.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.77.060304
DOI:
10.1103/PhysRevA.77.060304
PACS:
03.67.Mn, 03.65.Ud
 
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