SLOCC invariant and semi-invariants for SLOCC classification of four-qubits

Abstract

We show there are at least 28 distinct true SLOCC entanglement classes for four-qubits by means of SLOCC invariant and semi-invariants and derive the number of the degenerated SLOCC classes for n-qubits.

22 pages, no figures, 9 tables, submit the paper to a journal

References in corpus (6)

• Constructing N-qubit entanglement monotones from anti-linear operators
• Inductive Entanglement Classification of Four Qubits under SLOCC
• Inductive classification of multipartite entanglement under SLOCC
• The SLOCC invariant and the residual entanglement for n-qubits
• The Simple Criteria of SLOCC Equivalence Classes
• The Necessary and Sufficient Conditions of Separability for Multipartite Pure States

Cited by in corpus (17)

• SLOCC classification of n qubits invoking the proportional relationships for spectrums and for standard Jordan normal forms
• Classification of general n-qubit states under stochastic local operations and classical communication in terms of the rank of coefficient matrix
• The n-tangle of odd n qubits
• Method for classifying multiqubit states via the rank of the coefficient matrix and its application to four-qubit states
• An entanglement measure for n-qubits
• Stochastic local operations and classical communication properties of the n-qubit symmetric Dicke states
• Polynomial invariants of degree 4 for even-$n$ qubits and their applications in entanglement classification
• SLOCC determinant invariants of order 2^{n/2} for even n qubits
• Criteria for reliable entanglement quantification with finite data
• Stochastic local operations and classical communication equations and classification of even $n$ qubits
• SLOCC classification for nine families of four-qubits
• Optimal Local Transformations of Flip and Exchange Symmetric Entangled States
• A type of localized quadripartite entanglement
• Simple forms of SLOCC equivalent four-qubit \c{hi} state
• Entanglement classification via integer partitions
• Testing equivalence of pure quantum states and graph states under SLOCC
• Rank-based SLOCC classification for odd n qubits