Entanglement classes of symmetric Werner states

Abstract

The symmetric Werner states for $n$ qubits, important in the study of quantum nonlocality and useful for applications in quantum information, have a surprisingly simple and elegant structure in terms of tensor products of Pauli matrices. Further, each of these states forms a unique local unitary equivalence class, that is, no two of these states are interconvertible by local unitary operations.

4 pages, 1 table, additional references in version 2, revised abstract and introduction in version 3, small clarifications for published version in version 4

References in corpus (4)

• Permutationally invariant quantum tomography
• The maximally entangled symmetric state in terms of the geometric measure
• Tensor Rank and Stochastic Entanglement Catalysis for Multipartite Pure States
• Multiparty quantum states stabilized by the diagonal subgroup of the local unitary group

Cited by in corpus (4)

• Symmetric mixed states of $n$ qubits: local unitary stabilizers and entanglement classes
• Werner state structure and entanglement classification
• Squaring parametrization of constrained and unconstrained sets of quantum states
• Quantum and classical correlations and Werner states in finite spin linear arrays