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.

arXiv comment11 pages

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Cited by in corpus (13)

• Local Unitary Invariants of Generic Multi-qubit States
• On Local Unitary Equivalence of Two and Three-qubit States
• Unitary and orthogonal equivalence of sets of matrices
• Entanglement Classification with Algebraic Geometry
• Criterion for SLOCC Equivalence of Multipartite Quantum States
• Local unitary equivalence of quantum states and simultaneous orthogonal equivalence
• Local unitary equivalence of generic multi-qubits based on the CP decomposition
• Criteria for SLOCC and LU Equivalence of Generic Multi-qudit States
• Local unitary equivalence of arbitrary-dimensional multipartite quantum states
• Robust entanglement measure for mixed quantum states
• Qubits as Hypermatrices and Entanglement
• Identifying local unitary equivalence based on reduction of quantum states
• Mutually-orthogonal unitary and orthogonal matrices