Details
Original language | English |
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Pages (from-to) | 546-562 |
Number of pages | 17 |
Journal | Quant. Inform. Comput. |
Volume | 4 |
Issue number | 6-7 |
Publication status | Published - 2004 |
Abstract
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In: Quant. Inform. Comput., Vol. 4, No. 6-7, 2004, p. 546-562.
Research output: Contribution to journal › Article › Research › peer review
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TY - JOUR
T1 - The uncertainty relation for joint measurement of position and momentum
AU - Werner, R. F.
PY - 2004
Y1 - 2004
N2 - We prove an uncertainty relation, which imposes a bound on any joint measurement of position and momentum. It is of the form (( where the `uncertainties' quantify the difference between the marginals of the Joint measurement and the corresponding ideal observable. Applied to an approximate position measurement followed by a momentum measurement, the uncertainties become the precision and the perturbation which is attained for a unique phase space covariant measurement.
AB - We prove an uncertainty relation, which imposes a bound on any joint measurement of position and momentum. It is of the form (( where the `uncertainties' quantify the difference between the marginals of the Joint measurement and the corresponding ideal observable. Applied to an approximate position measurement followed by a momentum measurement, the uncertainties become the precision and the perturbation which is attained for a unique phase space covariant measurement.
M3 - Article
VL - 4
SP - 546
EP - 562
JO - Quant. Inform. Comput.
JF - Quant. Inform. Comput.
IS - 6-7
ER -