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

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

2009-10-22

arxiv.org/abs/0910.4276v3

J. Phys. A: Math. Theor. 44 (2011) 155304

Physics

Quantum Physics

Scientific paper

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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