Practical Limits of Error Correction for Quantum Metrology

Abstract

Noise is the greatest obstacle in quantum metrology that limits it achievable precision and sensitivity. There are many techniques to mitigate the effect of noise, but this can never be done completely. One commonly proposed technique is to repeatedly apply quantum error correction. Unfortunately, the required repetition frequency needed to recover the Heisenberg limit is unachievable with the existing quantum technologies. In this article we explore the discrete application of quantum error correction with current technological limitations in mind. We establish that quantum error correction can be beneficial and highlight the factors which need to be improved so one can reliably reach the Heisenberg limit level precision.

22 pages, 4 Figures, Appendix

References in corpus (7)

• High-sensitivity diamond magnetometer with nanoscale resolution
• Quantum metrology from a quantum information science perspective
• Sub-millihertz magnetic spectroscopy with a nanoscale quantum sensor
• Individual quantum probes for optimal thermometry
• Spin squeezing, entanglement and quantum metrology with Bose-Einstein condensates
• Robust quantum metrological schemes based on protection of quantum Fisher information
• Lattice quantum magnetometry