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Journal of Physics A Mathematical and Theoretical

Stochastic local operations and classical communication equations and classification of evennqubits

Xiangrong Li, Dafa Li

Published Mar 31, 2011• 0 citations
Publisher

Abstract

The Journal of Physics A: Mathematical and Theoretical publishing team would like to apologise to the authors of the above paper. Due to an oversight, the article was published with an error in the last line of page 7: 'Ω (a, n) ' should read 'Γ (a, n) '.
DOI
10.1088/1751-8121/44/17/179601

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We give a practical, necessary and sufficient condition for two pure n -qubit states to be stochastic local operations and classical communication (SLOCC) equivalent. We also construct the SLOCC polynomial invariants of degree 6 for even n -qubit ( n ⩾ 4) states. The polynomials are in the explicit form of 3 × 3 determinants whose entries are polynomials of degree 2 in the coefficients of the states. Further, the polynomials satisfy an SLOCC equation and therefore are invariant under SLOCC. The SLOCC equations can be used for the SLOCC classification of even n qubits.