Decomposition of symmetric separable states and ground state energy of bosonic systems
arXiv:2005.11607
Abstract
We prove that every symmetric separable state admits a convex decomposition into symmetric pure product states. While the result is not new in itself, here we focus on convex geometry. We discuss the decomposition in the context of numerical ranges and ground state problems of infinite bosonic systems.
Version v3: Error corrected. Version v2: Literature updated. Any comments are welcome
References in corpus (7)
- Post-selection technique for quantum channels with applications to quantum cryptography
- Entanglement and permutational symmetry
- Partial transpose criteria for symmetric states
- Separability of Completely Symmetric States in Multipartite System
- Physical origins of ruled surfaces on the reduced density matrices geometry
- Symmetric 3 Qubit State Invariants
- Joint numerical ranges and communtativity of matrices