SLOCC Invariants for Multipartite Mixed States

Abstract

We construct a nontrivial set of invariants for any multipartite mixed states under the SLOCC symmetry. These invariants are given by hyperdeterminants and independent from basis change. In particular, a family of d^2 invariants for arbitrary d-dimensional even partite mixed states are explicitly given.

11 pages

References in corpus (3)

• All Maximally Entangled Four Qubits States
• Polynomial invariants for discrimination and classification of four-qubit entanglement
• A Note on Equivalence of Bipartite States under Local Unitary Transformations

Cited by in corpus (3)

• On Local Unitary Equivalence of Two and Three-qubit States
• Criterion for SLOCC Equivalence of Multipartite Quantum States
• Local unitary equivalence of generic multi-qubits based on the CP decomposition