Werner state structure and entanglement classification

Abstract

We present applications of the representation theory of Lie groups to the analysis of structure and local unitary classification of Werner states, sometimes called the {\em decoherence-free} states, which are states of $n$ quantum bits left unchanged by local transformations that are the same on each particle. We introduce a multiqubit generalization of the singlet state, and a construction that assembles these into Werner states.

9 pages, 2 figures, minor changes and corrections for version 2

References in corpus (4)

• Multiparty quantum states stabilized by the diagonal subgroup of the local unitary group
• Symmetric mixed states of $n$ qubits: local unitary stabilizers and entanglement classes
• Immunity of information encoded in decoherence-free subspaces to particle loss
• Entanglement classes of symmetric Werner states

Cited by in corpus (6)

• Deterministic generation of maximally discordant mixed states by dissipation
• Quantum autoencoders using mixed reference states
• Entanglement verification using local unitary stabilizers
• Werner states from diagrams
• Optimizing entanglement in two-qubit systems
• Deformed entropic and information inequalities for X - states of two-qubit and single qudit states