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end{aligned} (28) We will now proceed to employ the quantum estimation techniques necessary to find the ultimate bounds on the measurement errors we have explicitly found above.
In this section, we apply quantum estimation techniques to find the ultimate bounds on the precision of measurements of parameters of the Earth.
In this work we extend the analysis carried out in previous works which investigated quantum estimation techniques in scenarios where photons are exchanged between Earth and a satellite [8].
The purpose of this paper is to contribute to the knowledge of coherent quantum estimation and control by developing further a non-commutative formulation of the quantum filter given by Belavkin in 1980s [3].
For each mouse brain the spectrum of the relative amount of metabolites inside the experimental PRESS volume was quantified using the QUEST (quantitation based on quantum estimation) module [124] available inside the Java Magnetic Resonance User Interface (JMRUI) package [125].
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Hayashi A, Hashimoto T, Horibe M. Reexamination of optimal quantum state estimation of pure states.
The classical limit for optimal quantum state estimation of a pure state115 is given by, where d is the dimension of the system.
We demonstrate our methods with two examples, namely quantum phase estimation and quantum-gate design, for which we achieve superior fidelity and scalability than obtained using greedy algorithms.
These results demonstrate the advantage of resonances when performing quantum parameter estimation.
Quantum parameter estimation, the ability to precisely obtain a classical value in a quantum system, is very important to many key quantum technologies.
Quantum parameter estimation (QPE) is a related discipline that is focussed more specifically on precisely estimating the classical parameters of a quantum system.
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