Noise in quantum metrology reduces the sensitivity to which one can determine an unknown parameter in the evolution of a quantum state, such as time. Here, we consider a noiseless quantum system (the probe, or the clock) prepared in a pure state that encodes some time t, on which we apply an arbitrary noise channel. We show an uncertainty relation stating that the noisy probe’s sensitivity to time trades off exactly with the environment’s sensitivity to the energy of the noiseless probe. We obtain necessary and sufficient conditions for when zero sensitivity is lost after application of the noise channel. These conditions are analogous to the Knill-Laflamme quantum error correction conditions but they are easier to satisfy. I will mention applications to many-body quantum metrology, such as computing the sensitivity of many-body interacting probe states exposed to local amplitude-damping noise.

Bipartite energy-time uncertainty relation  and  quantum error correction for metrology with noise

QSMI-1: Quantum sensing, metrology and imaging

technical paper

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Quantum 2020

The Institute of Physics and IOP Publishing, in partnership with the Chinese Physical Society (CPS) and the University of Science and Technology of China (USTC) are proud to have brought together the international quantum science community online for this inaugural conference.

Early career and leading researchers from universities, industry and government worldwide came together to share, learn and collaborate on the latest research and emerging areas of high interest across quantum science and technology. 

Philippe Faist

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Bipartite energy-time uncertainty relation  and  quantum error correction for metrology with noise

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Philippe Faist

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Presentations

Bipartite energy-time uncertainty relation and quantum error correction for metrology with noise

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Bipartite energy-time uncertainty relation  and  quantum error correction for metrology with noise