Optimized entropic uncertainty for successive projective measurements

被引:28
作者
Baek, Kyunghyun [1 ]
Farrow, Tristan [2 ,3 ]
Son, Wonmin [1 ]
机构
[1] Sogang Univ, Dept Phys, Seoul 121742, South Korea
[2] Univ Oxford, Clarendon Lab, Oxford OX1 3PU, England
[3] Natl Univ Singapore, Ctr Quantum Technol, Singapore 117543, Singapore
来源
PHYSICAL REVIEW A | 2014年 / 89卷 / 03期
基金
新加坡国家研究基金会;
关键词
QUANTUM MEASUREMENTS; DISTURBANCE; PRINCIPLE; OBSERVABLES;
D O I
10.1103/PhysRevA.89.032108
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We focus here on the uncertainty of an observable Y caused by a precise measurement of X. We illustrate the effect by analyzing the general scenario of two successive measurements of spin components X and Y. We derive an optimized entropic uncertainty limit that quantifies the necessary amount of uncertainty observed in a subsequent measurement of Y. We compare this bound to recently derived error-disturbance relations and discuss how the bound quantifies the information of successive quantum measurements.
引用
收藏
页数:6
相关论文
共 28 条
[1]  
[Anonymous], 1927, Z. Phys. A, DOI [10.1007/bf01391200, DOI 10.1007/BF01391200]
[2]  
[Anonymous], 2001, PHYS REV A, V63
[3]   ON SIMULTANEOUS MEASUREMENT OF A PAIR OF CONJUGATE OBSERVABLES [J].
ARTHURS, E ;
KELLY, JL .
BELL SYSTEM TECHNICAL JOURNAL, 1965, 44 (04) :725-+
[4]   QUANTUM CORRELATIONS - A GENERALIZED HEISENBERG UNCERTAINTY RELATION [J].
ARTHURS, E ;
GOODMAN, MS .
PHYSICAL REVIEW LETTERS, 1988, 60 (24) :2447-2449
[5]   Experimental violation and reformulation of the Heisenberg's error-disturbance uncertainty relation [J].
Baek, So-Young ;
Kaneda, Fumihiro ;
Ozawa, Masanao ;
Edamatsu, Keiichi .
SCIENTIFIC REPORTS, 2013, 3
[6]   UNCERTAINTY RELATIONS FOR INFORMATION ENTROPY IN WAVE MECHANICS [J].
BIALYNICKIBIRULA, I ;
MYCIELSKI, J .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1975, 44 (02) :129-132
[7]   Error-tradeoff and error-disturbance relations for incompatible quantum measurements [J].
Branciard, Cyril .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2013, 110 (17) :6742-6747
[8]   Noise and Disturbance in Quantum Measurements: An Information-Theoretic Approach [J].
Buscemi, Francesco ;
Hall, Michael J. W. ;
Ozawa, Masanao ;
Wilde, Mark M. .
PHYSICAL REVIEW LETTERS, 2014, 112 (05)
[9]   Heisenberg's uncertainty principle [J].
Busch, Paul ;
Heinonen, Teiko ;
Lahti, Pekka .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2007, 452 (06) :155-176
[10]   Proof of Heisenberg's Error-Disturbance Relation [J].
Busch, Paul ;
Lahti, Pekka ;
Werner, Reinhard F. .
PHYSICAL REVIEW LETTERS, 2013, 111 (16)