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arXiv · 0910.4276

Stochastic local operations and classical communication equations and classification of even $n$ qubits

X. Li·D. Li
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Abstract

For any even $n$ qubits we establish four SLOCC equations and construct four SLOCC polynomials (not complete) of degree $2^{n/2}$, which can be exploited for SLOCC classification (not complete) of any even $n$ qubits. In light of the SLOCC equations, we propose several different genuine entangled states of even $n$ qubits and show that they are inequivalent to the $|GHZ>$, $|W>$, or $|l,n>$ (the symmetric Dicke states with $l$ excitations) under SLOCC via the vanishing or not of the polynomials. The absolute values of the polynomials can be considered as entanglement measures.

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X. Li, D. Li. 2009-10-22. Stochastic local operations and classical communication equations and classification of even $n$ qubits. https://doi.org/10.1088/1751-8113/44/15/155304

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