Operational Entanglement Families of Symmetric Mixed N-Qubit States

Abstract

We introduce an operational entanglement classification of symmetric mixed states for an arbitrary number of qubits based on stochastic local operations assisted with classical communication (SLOCC operations). We define families of SLOCC entanglement classes successively embedded into each other, we prove that they are of non-zero measure, and we construct witness operators to distinguish them. Moreover, we discuss how arbitrary symmetric mixed states can be realized in the lab via a one-to-one correspondence between well-defined sets of controllable parameters and the corresponding entanglement families.

6 pages, 2 figures, published version, Phys. Rev. A, in press

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• Entanglement classes of permutation-symmetric qudit states: symmetric operations suffice
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• Experimentally implementable criteria revealing substructures of genuine multipartite entanglement
• Matrix Product States: Entanglement, symmetries, and state transformations
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• A recursive approach for geometric quantifiers of quantum correlations in multiqubit Schrödinger cat states
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• Symmetries and local transformations of translationally invariant Matrix Product States
• Local unitary group stabilizers and entanglement for multiqubit symmetric states
• Geometric Multiaxial Representation of N-qubit Mixed Symmetric Separable States
• Entanglement detection with scrambled data