Quality of Control in the Tavis-Cummings-Hubbard Model

TL;DR

This paper assesses the control quality in the Tavis-Cummings-Hubbard model, focusing on quantum gates, walks, and singlet state detection, highlighting the impact of atomic spectral line width on control fidelity.

Contribution

It introduces an analysis of control limitations in the Tavis-Cummings-Hubbard model due to atomic spectral line widths and evaluates quantum gate performance under these conditions.

Findings

Control quality decreases with broader atomic spectral lines.

Finite spectral width impacts quantum gate fidelity.

Quantum control is limited by time-energy uncertainty relations.

Abstract

The quality of controlling a system of optical cavities in the Tavis-Cummings-Hubbard (TCH) model is estimated with the examples of quantum gates, quantum walks on graphs, and of the detection of singlet states. This type of control of complex systems is important for quantum computing, for the optical interpretation of mechanical movements, and for quantum cryptography, where singlet states of photons and charges play an essential role. It has been found that the main reason for the decrease of the control quality in the THC model is due to the finite width of the atomic spectral lines, which is itself related to the time energy uncertainty relation. This paper evaluates the quality of a CSign-type quantum gate based on asynchronous atomic excitations and on the optical interpretation of the motion of a free particle.