Standard quantum limits of measurement error and methods of overcoming them

Vorontsov, Yurii I.

doi:10.3367/ufnr.0164.199401d.0089

Cited by 8 publications

(1 citation statement)

References 25 publications

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“…The measurement, as a rule, changes the state of a system, but it is not clear whether such a situation takes place for any measurement, or whether somebody could invent such a scheme that the measurement would be exact and instant and the stage of the system would not be changed. Today this problem is important not only from an academic (or abstract) standpoint, but also from a practical (experimental) point of view, because it has an immediate relation to, for example, constructing detectors of gravitational waves which ought to work in the regime of the so-called quantum nondemolition measurements (QNDM) [268][269][270][271].…”

Section: Measurements Of Energy and Timementioning

confidence: 99%

Energy–time and frequency–time uncertainty relations: exact inequalities

Dodonov

Додонов

2015

Phys. Scr.

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We give a short review of known exact inequalities that can be interpreted as 'energy-time' and 'frequency-time' uncertainty relations. In particular we discuss a precise form of signals minimizing the physical frequencytime uncertainty product. Also, we calculate the 'stationarity time' for mixed Gaussian states of a quantum harmonic oscillator, showing explicitly that pure quantum states are 'more fragile' than mixed ones with the same value of the energy dispersion. The problems of quantum evolution speed limits, time operators and measurements of energy and time are briefly discussed, too. This is our present to Margarita Alexandrovna and Vladimir Ivanovich Man'ko on occasion of their 75th birthdays. ‡ Heisenberg and Bohr used the symbols = or ∼ instead of . arXiv:1504.00862v1 [quant-ph] 3 Apr 2015Energy-time and frequency-time uncertainty relations: exact inequalities

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Section: Measurements Of Energy and Timementioning

confidence: 99%