On multipartite invariant states II. Orthogonal symmetry

Abstract

We construct a new class of multipartite states possessing orthogonal symmetry. This new class defines a convex hull of multipartite states which are invariant under the action of local unitary operations introduced in our previous paper "On multipartite invariant states I. Unitary symmetry". We study basic properties of multipartite symmetric states: separability criteria and multi-PPT conditions.

6 pages; slight corrections + new references

References in corpus (8)

• Detecting Genuine Multipartite Entanglement with Two Local Measurements
• Detecting multipartite entanglement
• Distillation of multipartite entanglement by complementary stabilizer measurements
• Entanglement in SO(3)-invariant bipartite quantum systems
• Entanglement in SU(2)-invariant quantum systems: The positive partial transpose criterion and others
• State space structure and entanglement of rotationally invariant spin systems
• On multipartite invariant states I. Unitary symmetry
• Construction of extremal local positive operator-valued measures under symmetry

Cited by in corpus (4)

• Structural approximations to positive maps and entanglement breaking channels
• Characterizing multiparticle entanglement in symmetric N-qubit states via negativity of covariance matrices
• A new class of states with positive partial transposition
• Efficient algorithm for multi-qudit twirling for ensemble quantum computation