Zeno effect for quantum computation and control

TL;DR

This paper demonstrates that the quantum Zeno effect, combined with weak measurements and error correction codes, can reliably protect quantum states during computation and control, enabling universal quantum operations with high fidelity.

Contribution

It introduces a rigorous framework showing how the quantum Zeno effect can be integrated with stabilizer codes to protect arbitrary quantum states during computation.

Findings

Zeno effect can protect quantum states to arbitrary accuracy

Compatibility of Zeno protection with universal quantum computation

Performance bounds for Zeno-based quantum error suppression

Abstract

It is well known that the quantum Zeno effect can protect specific quantum states from decoherence by using projective measurements. Here we combine the theory of weak measurements with stabilizer quantum error correction and detection codes. We derive rigorous performance bounds which demonstrate that the Zeno effect can be used to protect appropriately encoded arbitrary states to arbitrary accuracy, while at the same time allowing for universal quantum computation or quantum control.