On multipartite invariant states I. Unitary symmetry

Abstract

We propose a natural generalization of bipartite Werner and isotropic states to multipartite systems consisting of an arbitrary even number of d-dimensional subsystems (qudits). These generalized states are invariant under the action of local unitary operations. We study basic properties of multipartite invariant states: separability criteria and multi-PPT conditions.

9 pages; slight corrections

References in corpus (3)

• Detecting Genuine Multipartite Entanglement with Two Local Measurements
• Detecting multipartite entanglement
• Distillation of multipartite entanglement by complementary stabilizer measurements

Cited by in corpus (6)

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