Abstract
Coffman et al. presented the 3-tangle of three qubits in Phys Rev A 61, 052306 (2000). Wong and Christensen (Phys Rev A 63, 044301, 2001) extended the standard form of the 3-tangle to even number of qubits, known as n-tangle. In this paper, we propose a generalization of the standard form of the 3-tangle to any odd n-qubit pure states and call it the n-tangle of odd n qubits. We show that the n-tangle of odd n qubits is invariant under permutations of the qubits, and is an entanglement monotone. The n-tangle of odd n qubits can be considered as a natural entanglement measure of any odd n-qubit pure states, and used for stochastic local operations and classical communication classification.
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The paper was supported by NSFC(Grant No. 10875061) and Tsinghua National Laboratory for Information Science and Technology.
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Li, D. The n-tangle of odd n qubits. Quantum Inf Process 11, 481–492 (2012). https://doi.org/10.1007/s11128-011-0256-8
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DOI: https://doi.org/10.1007/s11128-011-0256-8