Error-corrected quantum sensing

Sisi Zhou; David Layden; Mengzhen Zhang; John Preskill; Paola Cappellaro; Liang Jiang

doi:10.1117/12.2511587

1 March 2019 Error-corrected quantum sensing

Sisi Zhou, David Layden, Mengzhen Zhang, John Preskill, Paola Cappellaro, Liang Jiang

Proceedings Volume 10934, Optical, Opto-Atomic, and Entanglement-Enhanced Precision Metrology; 109341J (2019) https://doi.org/10.1117/12.2511587
Event: SPIE OPTO, 2019, San Francisco, California, United States

Abstract

Quantum metrology has many important applications in science and technology, ranging from frequency spectroscopy to gravitational wave detection. Quantum mechanics imposes a fundamental limit on measurement precision, called the Heisenberg limit, which can be achieved for noiseless quantum systems, but is not achievable in general for systems subject to noise. Here we study how measurement precision can be enhanced through quantum error correction, a general method for protecting a quantum system from the damaging effects of noise. We find a necessary and sufficient condition for achieving the Heisenberg limit using quantum probes subject to Markovian noise, assuming that noiseless ancilla systems are available, and that fast, accurate quantum processing can be performed. When the sufficient condition is satisfied, the quantum error-correcting code achieving the best possible precision can be found by solving a semidefinite program. We also show that noiseless ancilla are not needed when the signal Hamiltonian and the error operators commute. Finally we provide two explicit, archetypal examples of quantum sensors: qubits undergoing dephasing and a lossy bosonic mode.

Conference Presentation

Citation Download Citation

Sisi Zhou, David Layden, Mengzhen Zhang, John Preskill, Paola Cappellaro, and Liang Jiang "Error-corrected quantum sensing", Proc. SPIE 10934, Optical, Opto-Atomic, and Entanglement-Enhanced Precision Metrology, 109341J (1 March 2019); https://doi.org/10.1117/12.2511587

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available