Note on "Hyperfine coherence in the presence of spontaneous photon scattering" (quant-ph/0502063) and minimum energy requirements for quantum logic

TL;DR

This paper clarifies that previous formulas for errors in quantum logic due to quantum control fields remain valid even when spontaneous Raman scattering is suppressed, emphasizing minimum energy requirements for quantum operations.

Contribution

It demonstrates the applicability of earlier error formulas in scenarios with reduced spontaneous scattering, highlighting fundamental energy constraints for quantum logic.

Findings

Error formulas remain valid despite suppressed spontaneous Raman scattering

Quantum control fields impose minimum energy requirements for reliable quantum logic

The analysis extends previous results to new experimental regimes

Abstract

The goal of this short note is to show that the formulas I derived originally in [Phys. Rev. A 65, 022308 (2002)] regarding the errors introduced in quantum logical operations by the quantum nature of the control fields apply even in the situation discussed recently by Ozeri et al. in quant-ph/0502063, where the decoherence-inducing spontaneous Raman scattering is considerably suppressed.