SLOCC determinant invariants of order 2^{n/2} for even n qubits

Abstract

In this paper, we study SLOCC determinant invariants of order 2^{n/2} for any even n qubits which satisfy the SLOCC determinant equations. The determinant invariants can be constructed by a simple method and the set of all these determinant invariants is complete with respect to permutations of qubits. SLOCC entanglement classification can be achieved via the vanishing or not of the determinant invariants. We exemplify the method for several even number of qubits, with an emphasis on six qubits.

J. Phys. A: Math. Theor. 45 (2012) 075308

References in corpus (4)

• Constructing N-qubit entanglement monotones from anti-linear operators
• On polynomial invariants of several qubits
• Polynomial invariants for discrimination and classification of four-qubit entanglement
• The Simple Criteria of SLOCC Equivalence Classes

Cited by in corpus (4)

• Classification of general n-qubit states under stochastic local operations and classical communication in terms of the rank of coefficient matrix
• Method for classifying multiqubit states via the rank of the coefficient matrix and its application to four-qubit states
• Polynomial invariants of degree 4 for even-$n$ qubits and their applications in entanglement classification
• Sequential generation of Polynomial Invariants and N-body non-local correlations