Beating the quantum limits (cont'd)

Maddox, John

doi:10.1038/331559a0

Cited by 22 publications

(28 citation statements)

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“…The experimental results confirm that even for the special states which trivialize Heisenberg-Robertson relation, the uncertainties of the two observables obey the new relations, and shed light on fundamental limitations of quantum measurement. A correct understanding and experimental confirmation of a fundamental limitation of measurements will not only foster insight into foundational problems but also advance the precision measurement technology in quantum information processing, for instance on the debate the standard quantum limit for monitoring free-mass position [40][41][42].…”

Section: Discussionmentioning

confidence: 99%

Experimental investigation of the stronger uncertainty relations for all incompatible observables

et al. 2016

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The Heisenberg-Robertson uncertainty relation quantitatively expresses the impossibility of jointly sharp preparation of incompatible observables. However it does not capture the concept of incompatible observables because it can be trivial even for two incompatible observables. We experimentally demonstrate the new stronger uncertainty relations proposed by Maccone and Pati [Phys. Rev. Lett. 113, 260401 (2014)] relating on that sum of variances are valid in a state-dependent manner and the lower bound is guaranteed to be nontrivial for two observables being incompatible on the state of the system being measured. The behaviour we find agrees with the predictions of quantum theory and obeys the new uncertainty relations even for the special states which trivialize Heisenberg-Robertson relation. We realize a direct measurement model and give the first experimental investigation of the strengthened relations.

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Section: Discussionmentioning

confidence: 99%

Experimental investigation of the stronger uncertainty relations for all incompatible observables

et al. 2016

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“…All the possible state changes associated with those measurements of type II violation were described in Ref. [36] A model measurement of type II violation arose from the controversy on the sensitivity limit of gravitational wave detectors (see [37] for a brief survey). The sensitivity limit of interferometer type gravitational wave detectors is derived from the accuracy of the monitoring of a free mass position, the relative position of mirrors in the interferometer.…”

Section: Type II Violationsmentioning

confidence: 99%

Physical content of Heisenberg's uncertainty relation: limitation and reformulation

Ozawa

2003

Physics Letters A

143

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“…For the case of measurements of continuous observables, there have been known also models of exact position measurement that do not satisfy the repeatability hypothesis even approximately [15,27,28]. They have been applied to the position monitoring that breaks the standard quantum limit [27,29].…”

Section: Measurements Violating the Repeatability Hypothesismentioning

confidence: 99%

Operations, disturbance, and simultaneous measurability

Ozawa

2001

Phys. Rev. A

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Quantum mechanics predicts the joint probability distributions of the outcomes of simultaneous measurements of commuting observables, but the current formulation lacks the operational definition of simultaneous measurements. In order to provide foundations of joint statistics of local general measurements on entangled systems in a general theoretical framework, the question is answered as to under what condition the outputs of two measuring apparatuses satisfy the joint probability formula for simultaneous measurements of their observables. For this purpose, all the possible state changes caused by measurements of an observable are characterized and the notion of disturbance in measurement is formalized in terms of operations derived by the measuring interaction.

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Beating the quantum limits (cont'd)

Cited by 22 publications

References 0 publications

Experimental investigation of the stronger uncertainty relations for all incompatible observables

Experimental investigation of the stronger uncertainty relations for all incompatible observables

Physical content of Heisenberg's uncertainty relation: limitation and reformulation

Operations, disturbance, and simultaneous measurability

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