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.
arXiv comment17 pages, 2 figures, 1 Table
References in corpus (15)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Mixed State Entanglement and Quantum Error Correction
- Geometric phase from Aharonov-Bohm to Pancharatnam-Berry and beyond
- Topological phase due to electric dipole moment and magnetic monopole interaction
- Quantum fidelity measures for mixed states
- Classical and Quantum Fisher Information in the Geometrical Formulation of Quantum Mechanics
- Maxwell Duality, Lorentz Invariance, and Topological Phase
- Geometric phases in quantum information
- Continuous-variable geometric phase and its manipulation for quantum computation in a superconducting circuit
- He-McKellar-Wilkens topological phase in atom interferometry
- Geometric Phase in Entangled Systems: A Single-Neutron Interferometer Experiment
- 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
- Geometric Phase: a Diagnostic Tool for Entanglement
- New Aspects of Geometric Phases in Experiments with polarized Neutrons