Enhancement of Geometric Phase by Frustration of Decoherence: A Parrondo like Effect

TL;DR

This paper demonstrates that interacting with two competing environments can enhance the geometric phase in quantum systems, leveraging quantum frustration of decoherence to potentially improve fault-tolerant quantum computation.

Contribution

It introduces a novel mechanism where competing decoherence processes enhance geometric phase, akin to Parrondo's effect, with implications for quantum computing.

Findings

Competing environments can enhance geometric phase.

Quantum frustration of decoherence is a key mechanism.

Potential applications in fault-tolerant quantum computation.

Abstract

Geometric phase plays an important role in evolution of pure or mixed quantum states. However, when a system undergoes decoherence the development of geometric phase may be inhibited. Here, we show that when a quantum system interacts with two competing environments there can be enhancement of geometric phase. This effect is akin to Parrondo like effect on the geometric phase which results from quantum frustration of decoherence. Our result suggests that the mechanism of two competing decoherence can be useful in fault-tolerant holonomic quantum computation.