Time-energy uncertainty relation for noisy quantum metrology

Philippe Faist; Mischa P. Woods; Victor V. Albert; Victor V. Albert; Joseph M. Renes; Jens Eisert; John Preskill; John Preskill; John Preskill

doi:10.1364/QIM.2021.W2A.3

Quantum Information and Measurement VI 2021
Technical Digest Series (Optica Publishing Group, 2021),
paper W2A.3
•https://doi.org/10.1364/QIM.2021.W2A.3

Time-energy uncertainty relation for noisy quantum metrology

Philippe Faist, Mischa P. Woods, Victor V. Albert, Joseph M. Renes, Jens Eisert, and John Preskill

Quantum Information and Measurement 2021

Washington, DC United States
1–5 November 2021
ISBN: 978-1-957171-01-2

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Precision Measurements and Quantum Metrology II (W2A)

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P. Faist, M. P. Woods, V. V. Albert, J. M. Renes, J. Eisert, and J. Preskill, "Time-energy uncertainty relation for noisy quantum metrology," in Quantum Information and Measurement VI 2021, F. Sciarrino, N. Treps, M. Giustina, and C. Silberhorn, eds., Technical Digest Series (Optica Publishing Group, 2021), paper W2A.3.

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Abstract

We derive a fundamental trade-off relating the accuracy loss of a quantum clock due to a noise channel to the information about the energy of the clock that leaks to the environment.

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