Entanglement-induced geometric phase of quantum states

TL;DR

This paper introduces an entanglement-induced geometric phase in quantum states, linking it to correlations and providing a method to compute it for two-qubit systems, especially maximally entangled mixed states.

Contribution

It presents a novel geometric phase arising from entanglement, with an explicit calculation method for two-qubit states, expanding understanding of quantum correlations.

Findings

Defined an entanglement-induced geometric phase based on state correlations.

Provided a procedure to compute this phase for two-qubit systems.

Illustrated the concept using maximally entangled mixed states (MEMS).

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.