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How Energy Conservation Limits Our Measurements

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How Energy Conservation Limits Our Measurements. / Navascues, Miguel; Popescu, Sandu.

In: Physical Review Letters, Vol. 112, 140502, 09.04.2014.

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Navascues, Miguel ; Popescu, Sandu. / How Energy Conservation Limits Our Measurements. In: Physical Review Letters. 2014 ; Vol. 112.

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@article{295ac0cee8db4ab480c72ff15e650482,
title = "How Energy Conservation Limits Our Measurements",
abstract = "Observations in quantum mechanics are subject to complex restrictions arising from the principle of energy conservation. Determining such restrictions, however, has been so far an elusive task, and only partial results are known. In this Letter, we discuss how constraints on the energy spectrum of a measurement device translate into limitations on the measurements which we can effect on a target system with a nonconstant energy operator. We provide efficient algorithms to characterize such limitations and, in case the target is a two-level quantum system, we quantify them exactly. Our Letter, thus, identifies the boundaries between what is possible or impossible to measure, i.e., between what we can see or not, when energy conservation is at stake.",
author = "Miguel Navascues and Sandu Popescu",
year = "2014",
month = "4",
day = "9",
doi = "http://dx.doi.org/10.1103/PhysRevLett.112.140502",
language = "English",
volume = "112",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society (APS)",

}

RIS - suitable for import to EndNote

TY - JOUR

T1 - How Energy Conservation Limits Our Measurements

AU - Navascues, Miguel

AU - Popescu, Sandu

PY - 2014/4/9

Y1 - 2014/4/9

N2 - Observations in quantum mechanics are subject to complex restrictions arising from the principle of energy conservation. Determining such restrictions, however, has been so far an elusive task, and only partial results are known. In this Letter, we discuss how constraints on the energy spectrum of a measurement device translate into limitations on the measurements which we can effect on a target system with a nonconstant energy operator. We provide efficient algorithms to characterize such limitations and, in case the target is a two-level quantum system, we quantify them exactly. Our Letter, thus, identifies the boundaries between what is possible or impossible to measure, i.e., between what we can see or not, when energy conservation is at stake.

AB - Observations in quantum mechanics are subject to complex restrictions arising from the principle of energy conservation. Determining such restrictions, however, has been so far an elusive task, and only partial results are known. In this Letter, we discuss how constraints on the energy spectrum of a measurement device translate into limitations on the measurements which we can effect on a target system with a nonconstant energy operator. We provide efficient algorithms to characterize such limitations and, in case the target is a two-level quantum system, we quantify them exactly. Our Letter, thus, identifies the boundaries between what is possible or impossible to measure, i.e., between what we can see or not, when energy conservation is at stake.

U2 - http://dx.doi.org/10.1103/PhysRevLett.112.140502

DO - http://dx.doi.org/10.1103/PhysRevLett.112.140502

M3 - Article

VL - 112

JO - Physical Review Letters

T2 - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

M1 - 140502

ER -