A Relation between Coherent States and Generalized Bell States

Abstract

In the first half we show an interesting relation between coherent states and the Bell states in the case of spin 1/2, which was suggested by Fivel. In the latter half we treat generalized coherent states and try to generalize this relation to get several generalized Bell states. Our method is based on a geometry and our task may give a hint to open a deep relation between a coherence and an entanglement.

Latex File, 17 pages, typos corrected and two appendices to make the contents clearer added

References in corpus (4)

• Non-Abelian Berry connections for quantum computation
• Coherent states, Path integral, and Semiclassical approximation
• Coherent states over Grassmann manifolds and the WKB-exactness in path integral
• How a Quantum Theory Based on Generalized Coherent States Resolves the EPR and Measurement Problems

Cited by in corpus (5)

• A Survey of Finite Algebraic Geometrical Structures Underlying Mutually Unbiased Quantum Measurements
• Abstract algebra, projective geometry and time encoding of quantum information
• Entanglement of Grassmannian Coherent States for Multi-Partite n-Level Systems
• Generalized Bell States and Quantum Teleportation
• Quantum phase uncertainty in mutually unbiased measurements and Gauss sums