Heisenberg limited metrology using Quantum Error-Correction Codes

摘要

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