2017
DOI: 10.1016/j.aop.2017.03.018
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Enhancement of frequency estimation by spatially correlated environments

Abstract: In metrological tasks, employing entanglement can quantitatively improve the precision of parameter estimation. However, susceptibility of the entanglement to decoherence fades this capability in the realistic metrology and limits ultimate quantum improvement. One of the most destructive decoherence-type noise is uncorrelated Markovian noise which commutes with the parameter-encoding Hamiltonian and is modelled as a semigroup dynamics, for which the quantum improvement is constrained to a constant factor. It h… Show more

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Cited by 7 publications
(11 citation statements)
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“…A similar qualitative behavior has been recently reported under other types of (nonunital) noise, such as erasure, spontaneous emission, and phase damping [37,38].…”
Section: A Quantum Fisher Informationmentioning
confidence: 51%
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“…A similar qualitative behavior has been recently reported under other types of (nonunital) noise, such as erasure, spontaneous emission, and phase damping [37,38].…”
Section: A Quantum Fisher Informationmentioning
confidence: 51%
“…This will be the subject of future work. [38,39] does hold in general, although it is not necessarily a tight bound. If the maximization were not restricted to vectorized physical states |ˆ , but extended to all normalized four-dimensional vectors in Liouville space, we would end up calculating the op-…”
Section: Discussionmentioning
confidence: 99%
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“…In the case of semigroup dynamics, the noise type is one of the most destructive noise due to constraining the quantum enhancement to a constant factor [12,14,21]. However, this is not the case for a non-semigroup dynamics [16,[22][23][24][25]. Regarding U ω as the encoding unitary map and J as the parameter-independent noise map, the state of N probes at any instant is described as…”
Section: Frequency Estimationmentioning
confidence: 99%
“…However, a central aspect of phase sensing in a real-world scenario is the interaction between the probing system and the environment. Unfortunately, when this is taken into account, the promised quantum advantage is severely affected, with the enhancement becoming, at best, a constant factor in the asymptotic limit of large N , under most commonly encountered noise models [10][11][12][13]. This motivates one to examine more carefully the practical regime of finite N , where some form of advantage may remain [2,11,14].…”
Section: Introductionmentioning
confidence: 99%