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.
引用
收藏
页码：367 / 374
页数：8
相关论文
共 50 条
[31]   Real-Valued Observables and Quantum Uncertainty [J].
Stan Gudder .
International Journal of Theoretical Physics, 62
[32]   Revisiting Uncertainty Relation via Random Observables [J].
Lin Zhang ;
Yanjun Jiang ;
Laizhen Luo ;
Yangping Jing .
International Journal of Theoretical Physics, 2021, 60 :2473-2487
[33]   Locating a photon: Position observables and an uncertainty relation [J].
Holevo A.S. .
Russian Microelectronics, 2006, 35 (1) :21-30
[34]   Uncertainty and Certainty Relations for Successive Projective Measurements of a Qubit in Terms of Tsallis' Entropies [J].
Rastegin, Alexey E. .
COMMUNICATIONS IN THEORETICAL PHYSICS, 2015, 63 (06) :687-694
[35]   Uncertainty and Certainty Relations for Successive Projective Measurements of a Qubit in Terms of Tsallis' Entropies [J].
Alexey E.Rastegin .
CommunicationsinTheoreticalPhysics, 2015, 63 (06) :687-694
[36]   Heisenberg uncertainty for qubit measurements [J].
Busch, Paul ;
Lahti, Pekka ;
Werner, Reinhard F. .
PHYSICAL REVIEW A, 2014, 89 (01)
[37]   Uncertainty, joint uncertainty, and the quantum uncertainty principle [J].
Narasimhachar, Varun ;
Poostindouz, Alireza ;
Gour, Gilad .
NEW JOURNAL OF PHYSICS, 2016, 18
[38]   A generalization of the functional calculus of observables and notion of joint measurability to the case of non-commuting observables [J].
DeJonghe, Richard ;
Frey, Kimberly ;
Imbo, Tom .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2015, 48 (14)
[39]   Thermodynamic Uncertainty Relations [J].
Jos Uffink ;
Janneke van Lith .
Foundations of Physics, 1999, 29 :655-692
[40]   "Evaluations" of Observables Versus Measurements in Quantum Theory [J].
Nistico, Giuseppe ;
Sestito, Angela .
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2016, 55 (03) :1798-1810
12345