Two state-vector representations of mixed states, known as purified state and thermal
vacuum, have been realized on quantum computers. Although the two representations look …

We introduce a connection between entanglement induced by interaction and geometric
phases acquired by a composite quantum spin system. We begin by analyzing the …

It is known that an interacting bipartite system evolves as an entangled state in general,
even if it is initially in a separable state. Due to the entanglement of the state, the geometric …

The Berry phase in a bipartite system described by the XXZ model is studied in this Letter.
We calculate the Berry phase acquired by the bipartite system as well as the geometric …

We investigate how to obtain a non-trivial geometric phase gate for a two-qubit spin chain,
with Ising interaction in different magnetic fields. Indeed, one of the spins is driven by a time …

The geometric phase (GP) for bipartite systems in transverse external magnetic fields is
investigated in this paper. Two different situations have been studied. We first consider two …

In this paper, we explore the dynamical properties of geometric phase for a composite
quantum system under the nonlocal unitary evolution. As an illustrative example, the …

Geometric phases are associated with the description of many phenomena in quantum
mechanics. The aim of this thesis is to analyze geometric phases in quantum spin chains …