Heisenberg limited metrology using Quantum Error-Correction Codes

TL;DR

This paper demonstrates that stabilizer quantum error-correction codes can enable Heisenberg-limited measurement sensitivity for small signals even amid noise, offering a promising approach for quantum detection.

Contribution

It introduces a novel application of quantum error-correction codes for signal detection achieving Heisenberg-limited sensitivity under noisy conditions.

Findings

Quantum error-correction codes enable Heisenberg-limited measurement of small signals.

The approach maintains high sensitivity despite noise.

Long coherence times enhance detection capabilities.

Abstract

Methods borrowed from the world of quantum information processing have lately been used to enhance the signal-to-noise ratio of quantum detectors. Here we analyze the use of stabilizer quantum error-correction codes for the purpose of signal detection. We show that using quantum error-correction codes a small signal can be measured with Heisenberg limited uncertainty even in the presence of noise. We analyze the limitations to the measurement of signals of interest and discuss two simple examples. The possibility of long coherence times, combined with their Heisenberg limited sensitivity to certain signals, pose quantum error-correction codes as a promising detection scheme.