Noise-Disturbance Relation and the Galois Connection of Quantum Measurements

被引：5

作者：

Carmeli, Claudio ^{[1
]}

Heinosaari, Teiko ^{[2
]}

Miyadera, Takayuki ^{[3
]}

Toigo, Alessandro ^{[4
,5
]}

机构：

[1] Univ Genoa, DIME, Via Magliotto 2, I-17100 Savona, Italy

[2] Univ Turku, Dept Phys & Astron, QTF Ctr Excellence, Turku Ctr Quantum Phys, Turku 20014, Finland

[3] Kyoto Univ, Dept Nucl Engn, Kyoto 6158540, Japan

[4] Politecn Milan, Dipartimento Matemat, Piazza Leonardo da Vinci 32, I-20133 Milan, Italy

[5] INFN, Sez Milano, Via Celoria 16, I-20133 Milan, Italy

来源：

FOUNDATIONS OF PHYSICS | 2019年 / 49卷 / 06期

基金：

芬兰科学院;

关键词：

Noise-disturbance relation; Incompatibility; Galois connection; Quantum measurements;

D O I：

10.1007/s10701-019-00255-1

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The relation between noise and disturbance is investigated within the general framework of Galois connections. Within this framework, we introduce the notion of leak of information, mathematically defined as one of the two closure maps arising from the observable-channel compatibility relation. We provide a physical interpretation for it, and we give a comparison with the analogous closure maps associated with joint measurability and simulability for quantum observables.

引用

页码：492 / 505

页数：14

共 23 条

[1]

Arveson W., 1969, ACTA MATH, V123, P141, DOI 10.1007/BF02392388

[2] UNSHARP REALITY AND JOINT MEASUREMENTS FOR SPIN OBSERVABLES [J].

BUSCH, P .

PHYSICAL REVIEW D, 1986, 33 (08) :2253-2261

[3]

Busch P, 2016, THEOR MATH PHYS SER, P1, DOI 10.1007/978-3-319-43389-9

[4]

Busch P., 1997, Operational Quantum Physics

[5]

Busch P., 1996, Lecture Notes in Physics Monographs, V2

[6]

Busch P, 2009, W ONT SER PHILOS SCI, V73, P229

[7] Closure operators and Galois theory in lattices [J].

Everett, C. J. .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1944, 55 (1-3) :514-525

[8] Simulability of observables in general probabilistic theories [J].

Filippov, Sergey N. ;

Heinosaari, Teiko ;

Leppajarvi, Leevi .

PHYSICAL REVIEW A, 2018, 97 (06)

[9] Operational framework for quantum measurement simulability [J].

Guerini, Leonardo ;

Bavaresco, Jessica ;

Cunha, Marcelo Terra ;

Acin, Antonio .

JOURNAL OF MATHEMATICAL PHYSICS, 2017, 58 (09)

[10] The unavoidable information flow to environment in quantum measurements [J].

Haapasalo, Erkka ;

Heinosaari, Teiko ;

Miyadera, Takayuki .

JOURNAL OF MATHEMATICAL PHYSICS, 2018, 59 (08)

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