Entanglement-induced geometric phase of quantum states

Abstract

The concept of relative state is used to introduce geometric phases that originate from correlations in states of composite quantum systems. In particular, we identify an entanglement-induced geometric phase in terms of a weighted average of geometric phase factors associated with a decomposition that define the entanglement of formation. An explicit procedure to calculate the entanglement-induced geometric phase for qubit pairs is put forward. We illustrate it for maximally entangled mixed states (MEMS) of two qubits.

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References in corpus (4)

• Geometric phase distributions for open quantum systems
• Composite Geometric Phase for Multipartite Entangled States
• Mixed State Geometric Phase from Thomas Rotations
• Experimentally testable geometric phase of sequences of Everett's relative quantum states

Cited by in corpus (5)

• Geometric phases in quantum information
• Geometric phases under the presence of a composite environment
• Topological phase structure of vector vortex beams
• Impacts of Intrinsic Noise and Quantum Entanglement on the Geometric and Dynamical Properties of the XXZ Heisenberg Interacting Spin Model
• Effect of entanglement on geometric phase for multi-qubit states