Application of quantum estimation theory to analog communication over quantum channels

Personick, Stewart D.

doi:10.1109/tit.1971.1054643

Cited by 75 publications

(99 citation statements)

References 2 publications

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“…Since this is the combination of two pure states, we can use (11) to obtain the SLD that realizes the optimal measurement:…”

Section: B Two-mode Mixingmentioning

confidence: 99%

“…The above problem may be properly addressed in the framework of quantum estimation theory (QET) [11,12,13], which provides analytical tools to find the optimal measurement according to some given criterion. In turn, there are two main paradigms in QET: Global QET looks for the POVM minimizing a suitable cost functional, averaged over all possible values of the parameter to be estimated.…”

Section: Introductionmentioning

confidence: 99%

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Squeezed vacuum as a universal quantum probe

Gaiba

Paris

2009

Physics Letters A

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We address local quantum estimation of bilinear Hamiltonians probed by Gaussian states. We evaluate the relevant quantum Fisher information (QFI) and derive the ultimate bound on precision. Upon maximizing the QFI we found that single-and two-mode squeezed vacuum represent an optimal and universal class of probe states, achieving the so-called Heisenberg limit to precision in terms of the overall energy of the probe. We explicitly obtain the optimal observable based on the symmetric logarithmic derivative and also found that homodyne detection assisted by Bayesian analysis may achieve estimation of squeezing with near-optimal sensitivity in any working regime. Besides, by comparison of our results with those coming from global optimization of the measurement we found that Gaussian states are effective resources, which allow to achieve the ultimate bound on precision imposed by quantum mechanics using measurement schemes feasible with current technology.

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“…Since this is the combination of two pure states, we can use (11) to obtain the SLD that realizes the optimal measurement:…”

Section: B Two-mode Mixingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Squeezed vacuum as a universal quantum probe

Gaiba

Paris

2009

Physics Letters A

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“…Helstrom formulated a quantum Cramér-Rao bound (QCRB) [2], which stipulates that the minimum estimation error is inversely proportional to a property of the sensor known as the quantum Fisher information. The QCRB is central to quantum sensor design in the burgeoning field of quantum metrology [3,4] for several reasons.…”

mentioning

confidence: 99%

“…We now follow a procedure similar to the one used by Helstrom [2] to derive the QCRB. We introduce an operator Q k that satisfies @…”

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confidence: 99%

Fundamental Quantum Limit to Waveform Estimation

2011

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We derive a quantum Cramér-Rao bound (QCRB) on the error of estimating a time-changing signal. The QCRB provides a fundamental limit to the performance of general quantum sensors, such as gravitational-wave detectors, force sensors, and atomic magnetometers. We apply the QCRB to the problem of force estimation via continuous monitoring of the position of a harmonic oscillator, in which case the QCRB takes the form of a spectral uncertainty principle. The bound on the force-estimation error can be achieved by implementing quantum noise cancellation in the experimental setup and applying smoothing to the observations.

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“…As a matter of fact, the statistical theory can be seen as a particular case of the more general quantum theory (Helstrom 1969(Helstrom , 1976. Quantum mechanics presents practical applications in several fields of technology (Personick 1971) such as, the use of quantum number generators in place of the classical random number generators. Moreover, manipulating the energy states of the cesium atoms, it is possible to suppress the quantum noise levels and consequently improve the accuracy of atomic clocks.…”

Section: Quantum Estimationmentioning

confidence: 99%

Survey on Estimation

Chisci¹,

Farina²

2013

Encyclopedia of Systems and Control

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Estimation is the process of inferring the value of an unknown given quantity of interest from noisy, direct or indirect, observations of such a quantity. Due to its great practical relevance, estimation has a long history and an enormous variety of applications in all fields of engineering and science. A certainly incomplete list of possible application domains of estimation includes the following: statistics

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Application of quantum estimation theory to analog communication over quantum channels

Cited by 75 publications

References 2 publications

Squeezed vacuum as a universal quantum probe

Squeezed vacuum as a universal quantum probe

Fundamental Quantum Limit to Waveform Estimation

Survey on Estimation

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