# General tradeoff relations of quantum nonlocality in the Clauser–Horne–Shimony–Holt scenario

## Abstract

General tradeoff relations present in nonlocal correlations of bipartite systems are studied, regardless of any specific quantum states and measuring directions. Extensions to multipartite scenarios are possible and very promising. Tsirelson’s bound can be derived out in particular. The close connection with uncertainty relations is also presented and discussed. - Highlights: • Quantum violation of CHSH inequalities is found to satisfy tradeoff relations. • Tsirelson’s bound for quantum mechanics can be directly implied from these tradeoffs. • Tradeoff relations shed new light on uncertainty relations in summation forms.

- Authors:

- Department of Physics Education, Chonnam National University, Gwangju 500-757 (Korea, Republic of)
- Theoretical Physics Division, Chern Institute of Mathematics, Nankai University, Tianjin 300071 (China)
- (Singapore)

- Publication Date:

- OSTI Identifier:
- 22617471

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Annals of Physics; Journal Volume: 377; Other Information: Copyright (c) 2017 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; LOCALITY; QUANTUM MECHANICS; QUANTUM STATES

### Citation Formats

```
Su, Hong-Yi, E-mail: hongyisu@chonnam.ac.kr, Chen, Jing-Ling, Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543, and Hwang, Won-Young, E-mail: wyhwang@jnu.ac.kr.
```*General tradeoff relations of quantum nonlocality in the Clauser–Horne–Shimony–Holt scenario*. United States: N. p., 2017.
Web. doi:10.1016/J.AOP.2016.12.035.

```
Su, Hong-Yi, E-mail: hongyisu@chonnam.ac.kr, Chen, Jing-Ling, Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543, & Hwang, Won-Young, E-mail: wyhwang@jnu.ac.kr.
```*General tradeoff relations of quantum nonlocality in the Clauser–Horne–Shimony–Holt scenario*. United States. doi:10.1016/J.AOP.2016.12.035.

```
Su, Hong-Yi, E-mail: hongyisu@chonnam.ac.kr, Chen, Jing-Ling, Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543, and Hwang, Won-Young, E-mail: wyhwang@jnu.ac.kr. Wed .
"General tradeoff relations of quantum nonlocality in the Clauser–Horne–Shimony–Holt scenario". United States.
doi:10.1016/J.AOP.2016.12.035.
```

```
@article{osti_22617471,
```

title = {General tradeoff relations of quantum nonlocality in the Clauser–Horne–Shimony–Holt scenario},

author = {Su, Hong-Yi, E-mail: hongyisu@chonnam.ac.kr and Chen, Jing-Ling and Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543 and Hwang, Won-Young, E-mail: wyhwang@jnu.ac.kr},

abstractNote = {General tradeoff relations present in nonlocal correlations of bipartite systems are studied, regardless of any specific quantum states and measuring directions. Extensions to multipartite scenarios are possible and very promising. Tsirelson’s bound can be derived out in particular. The close connection with uncertainty relations is also presented and discussed. - Highlights: • Quantum violation of CHSH inequalities is found to satisfy tradeoff relations. • Tsirelson’s bound for quantum mechanics can be directly implied from these tradeoffs. • Tradeoff relations shed new light on uncertainty relations in summation forms.},

doi = {10.1016/J.AOP.2016.12.035},

journal = {Annals of Physics},

number = ,

volume = 377,

place = {United States},

year = {Wed Feb 15 00:00:00 EST 2017},

month = {Wed Feb 15 00:00:00 EST 2017}

}

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