Non-Abelian Phases from a Quantum Zeno Dynamics

TL;DR

This paper explores how quantum Zeno dynamics can generate non-Abelian phases, offering a more flexible approach than adiabatic methods for quantum control and gate implementation.

Contribution

It establishes a link between non-Abelian phases from adiabatic driving and quantum Zeno dynamics, highlighting the latter's advantages for quantum control.

Findings

Quantum Zeno dynamics can produce non-Abelian phases similar to adiabatic methods.

Zeno dynamics provides greater flexibility in tuning quantum system evolution.

Potential applications in implementing quantum gates and control strategies.

Abstract

A connection is estabilished between the non-Abelian phases obtained via adiabatic driving and those acquired via a quantum Zeno dynamics induced by repeated projective measurements. In comparison to the adiabatic case, the Zeno dynamics is shown to be more flexible in tuning the system evolution, which paves the way to the implementation of unitary quantum gates and applications in quantum control.