Uncertainty relations for joint measurements of noncommuting observables

被引：86
作者：
Ozawa, M [1 ]
机构：
[1] Tohoku Univ, Grad Sch Informat Sci, Aoba Ku, Sendai, Miyagi 9808579, Japan
来源：
PHYSICS LETTERS A | 2004年 / 320卷 / 5-6期
关键词：
Heisenberg; uncertainty relation; uncertainty principle; joint measurements; noise; positive operator-valued measures;
D O I：
10.1016/j.physleta.2003.12.001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Universally valid uncertainty relations are proven in a model independent formulation for inherent and unavoidable extra noises in arbitrary joint measurements on single systems, from which Heisenberg's original uncertainty relation is proven valid for any joint measurements with statistically independent noises. (C) 2003 Elsevier B.V. All rights reserved.
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收藏
页码：367 / 374
页数：8
相关论文
共 38 条
[1]   Concept of experimental accuracy and simultaneous measurements of position and momentum [J].
Appleby, DM .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1998, 37 (05) :1491-1509
[2]   Maximal accuracy and minimal disturbance in the Arthurs-Kelly simultaneous measurement process [J].
Appleby, DM .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (30) :6419-6436
[3]   MEASUREMENT OF QUANTUM MECHANICAL OPERATORS [J].
ARAKI, H ;
YANASE, MM .
PHYSICAL REVIEW, 1960, 120 (02) :622-626
[4]   ON SIMULTANEOUS MEASUREMENT OF A PAIR OF CONJUGATE OBSERVABLES [J].
ARTHURS, E ;
KELLY, JL .
BELL SYSTEM TECHNICAL JOURNAL, 1965, 44 (04) :725-+
[5]   QUANTUM CORRELATIONS - A GENERALIZED HEISENBERG UNCERTAINTY RELATION [J].
ARTHURS, E ;
GOODMAN, MS .
PHYSICAL REVIEW LETTERS, 1988, 60 (24) :2447-2449
[6]   STATISTICAL INTERPRETATION OF QUANTUM MECHANICS [J].
BALLENTI.LE .
REVIEWS OF MODERN PHYSICS, 1970, 42 (04) :358-&
[7]  
Davies E.B., 1976, Quantum Theory of Open Systems
[8]   Preparation and measurement: Two independent sources of uncertainty in quantum mechanics [J].
de Muynck, WM .
FOUNDATIONS OF PHYSICS, 2000, 30 (02) :205-225
[9]  
Heisenberg W., 1930, PHYS PRINCIPLES QUAN
[10]  
Heisenberg W. a, 1927, Zeitschrift fur Physik, V43, P172, DOI [DOI 10.1007/BF01397280, 10.1007/BF01397280]
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