On the geometric phases in entangled states
arXiv:2208.14021 · doi:10.33769/aupse.1286632
Abstract
Correlation relations for the spin measurements on a pair of entangled particles scattered by the two separate arms of interferometers in hybrid setups of different types are investigated. Concurrence, entanglement of formation, quantum fidelity, Bures distance are used to clarify how the geometric phase affects the initial bipartite state. This affect causes a quantum interference due to the movement of charged particles in regions where electromagnetic fields are not present. We shown that in some cases the geometric phase information is carried over to the final bipartite entangled state.
17 pages, 2 figures, 1 Table
References in corpus (5)
- Geometric phase from Aharonov-Bohm to Pancharatnam-Berry and beyond
- Classical and Quantum Fisher Information in the Geometrical Formulation of Quantum Mechanics
- Continuous-variable geometric phase and its manipulation for quantum computation in a superconducting circuit
- Noncyclic Geometric Quantum Gates with Smooth Paths via Invariant-based Shortcuts
- Investigation of the Aharonov-Bohm and Aharonov-Casher Topological Phases for Quantum Entangled States in 2+1 Dimensions