The Simple Criteria of SLOCC Equivalence Classes

Abstract

We put forward an alternative approach to the SLOCC classification of entanglement states of three-qubit and four-qubit systems. By directly solving matrix equations, we obtain the relations satisfied by the amplitudes of states. The relations are readily tested since in them only addition, subtraction and multiplication occur.

The original version was submitted to PRA in Feb. 2005, the paper No. is AA10020. 14 pages for the present version. No figures

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Cited by in corpus (14)

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• The n-tangle of odd n qubits
• An entanglement measure for n-qubits
• The inductive entanglement classification yields ten rather than eight classes of four-qubit entangled states
• Classification of Bipartite and Tripartite Qutrit Entanglement under SLOCC
• A full dichotomy for Holant${}^c$, inspired by quantum computation
• SLOCC determinant invariants of order 2^{n/2} for even n qubits
• Negativity Fonts, multiqubit invariants and Four qubit Maximally Entangled States
• Reply to the comment on "Stochastic local operations and classical communication invariant and the residual entanglement for n qubits"
• Persistent Tensors and Multiqudit Entanglement Transformation
• Classifying Entanglement by Algebraic Geometry
• The necessary and sufficient condition for perfect teleportation and superdense coding and all the suitable states for teleportation and superdense coding
• Holant clones and the approximability of conservative holant problems