Ancilla-Free Quantum Error Correction Codes for Quantum Metrology
Name
PhysRevLett.122.040502.pdf
Size
181.48 KB
Format
Adobe PDF
Checksum (MD5)
dedaa10058fff5720f9fdaa41d080146
Author(s)
Zhou, Sisi
Jiang, Liang
Layden, David
Cappellaro, Paola
Date Issued
January 2019
Journal
Physical Review Letters
Publisher
American Physical Society
Citation
Layden, David et al. "Ancilla-Free Quantum Error Correction Codes for Quantum Metrology." Physical Review Letters 122, 4 (February 2019): 040502 © 2019 American Physical Society
Version
Final published version
Abstract
Quantum error correction has recently emerged as a tool to enhance quantum sensing under Markovian noise. It works by correcting errors in a sensor while letting a signal imprint on the logical state. This approach typically requires a specialized error-correcting code, as most existing codes correct away both the dominant errors and the signal. To date, however, few such specialized codes are known, among which most require noiseless, controllable ancillas. We show here that such ancillas are not needed when the signal Hamiltonian and the error operators commute, a common limiting type of decoherence in quantum sensors. We give a semidefinite program for finding optimal ancilla-free sensing codes in general, as well as closed-form codes for two common sensing scenarios: qubits undergoing dephasing, and a lossy bosonic mode. Finally, we analyze the sensitivity enhancement offered by the qubit code under arbitrary spatial noise correlations, beyond the ideal limit of orthogonal signal and noise operators.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology. Department of Nuclear Science and Engineering
Massachusetts Institute of Technology. Research Laboratory of Electronics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1103/PhysRevLett.122.040502
