Information-theoretic measure of genuine multiqubit entanglement

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Jian-Ming Cai,¹ Zheng-Wei Zhou,¹ Xing-Xiang Zhou,² and Guang-Can Guo¹
¹Laboratory of Quantum Information, University of Science and Technology of China, Hefei, Anhui 230026, People's Republic of China
²Physics Department, Pennsylvania State University, University Park, Pennsylvania 16802, USA

Received 19 June 2006; published 27 October 2006

Weconsider pure quantum states of N qubits and study thegenuine N-qubit entanglement that is shared among all the Nqubits. We introduce an information-theoretic measure of genuine N-qubit entanglementbased on bipartite partitions. When N is an even number,this measure is presented in a simple formula, which dependsonly on the purities of the partially reduced density matrices.It can be easily computed theoretically and measured experimentally. WhenN is an odd number, the measure can also beobtained in principle.

URL:	http://link.aps.org/doi/10.1103/PhysRevA.74.042338
DOI:	10.1103/PhysRevA.74.042338
PACS:	03.67.Mn; 03.65.Ud; 73.43.Nq; 89.70.+c 03.67.Mn Quantum entanglement production, characterization, and manipulation 03.65.Ud Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.) 73.43.Nq Quantum phase transitions (quantum Hall effect) 89.70.+c Information theory and communication theory YEAR: 2006
KEYWORDS:	quantum computing, quantum entanglement, measurement theory, information theory

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