Optimal estimation of conjugate shifts in position and momentum by
classically correlated probes and measurements
- URL: http://arxiv.org/abs/2203.03348v2
- Date: Tue, 2 Aug 2022 07:54:44 GMT
- Title: Optimal estimation of conjugate shifts in position and momentum by
classically correlated probes and measurements
- Authors: Kimin Park, Changhun Oh, Radim Filip, Petr Marek
- Abstract summary: We show that the same results can be obtained by employing independent sets of differently squeezed Gaussian states classically correlated to position or momentum measurements.
This result demonstrates an unexplored power of a classical correlation between the probe states and measurements directly applicable to force sensing.
- Score: 1.1470070927586016
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Multi-parameter estimation is necessary for force sensing due to simultaneous
and nontrivial small changes of position and momentum. Designing quantum probes
that allow simultaneous estimation of all parameters is therefore an important
task. The optimal methods for estimation of the conjugate changes of position
and momentum of quantum harmonic oscillator employ probes in entangled or
quantum non-Gaussian states. We show that the same results can be obtained in a
significantly more feasible fashion by employing independent sets of
differently squeezed Gaussian states classically correlated to position or
momentum measurements. This result demonstrates an unexplored power of a
classical correlation between the probe states and measurements directly
applicable to force sensing
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