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 (17)

• Mixed State Entanglement and Quantum Error Correction
• Separability Criterion for Density Matrices
• Separability of Mixed States: Necessary and Sufficient Conditions
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• Separability criterion and inseparable mixed states with positive partial transposition
• Witnessing multipartite entanglement
• Entanglement Measures under Symmetry
• A Schmidt number for density matrices
• Detecting Genuine Multipartite Entanglement with Two Local Measurements
• Classification of multi-qubit mixed states: separability and distillability properties
• Separability and distillability of multiparticle quantum systems
• Schmidt number witnesses and bound entanglement
• Distillability and partial transposition in bipartite systems
• Separability properties of tripartite states with UxUxU-symmetry
• Detecting multipartite entanglement
• Distillation of multipartite entanglement by complementary stabilizer measurements
• Distillability, Bell inequalities and multiparticle bound entanglement

Cited by in corpus (16)

• 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
• Bipartite depolarizing channels
• Entangled symmetric states of N qubits with all positive partial transpositions
• A new class of states with positive partial transposition
• Composite parameterization and Haar measure for all unitary and special unitary groups
• Efficient algorithm for multi-qudit twirling for ensemble quantum computation
• Classification of four-qubit entangled states via Machine Learning
• No-Go Theorems for Universal Entanglement Purification
• On multipartite invariant states II. Orthogonal symmetry
• Decomposability of Linear Maps under Tensor Products
• Towards a general framework of Randomized Benchmarking incorporating non-Markovian Noise
• Operational Markovianization in Randomized Benchmarking
• Rotationally invariant bipartite states and bound entanglement
• On the symmetry of the seminal Horodecki state