# Residual entanglement of accelerated fermions is useful

## Abstract

The non-vanishing residual entanglement, between the fermionic modes in the infinite acceleration limit, does not violate CHSH inequality, therefore it is not non-local. In this paper, we study the usefulness of the residual fermionic entanglement in single mode approximation and beyond single mode approximation. It is shown that there are some cases where the CHSH inequality is not violated by the residual entanglement, but the state is useful for quantum teleportation. Conditions for the violation of the CHSH inequality in terms of the “presence probability” of the particle in different Rindler regions are given for the state to be useful for teleportation and superdense coding. - Highlights: • Werner state is shared between an inertial observer and a uniformly accelerated one. • Single mode and beyond single mode approximation are considered. • Usefulness of residual entanglement in the infinite acceleration limit is studied. • The CHSH inequality and the quantum teleportation are used as a criterion. • Useful states for quantum information processing are found in the infinite acceleration.

- Authors:

- Department of Physics, University of Mohaghegh Ardabili, P.O. Box 179, Ardabil (Iran, Islamic Republic of)
- Department of Physics, Science and Research Branch, Islamic Azad University, Tehran (Iran, Islamic Republic of)
- Department of Physics, Babol Noshirvani University of Technology, Shariati Ave., Babol, 47148-71167 (Iran, Islamic Republic of)

- Publication Date:

- OSTI Identifier:
- 22701518

- Resource Type:
- Journal Article

- Journal Name:
- Annals of Physics

- Additional Journal Information:
- Journal Volume: 383; Other Information: Copyright (c) 2017 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0003-4916

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; BELL THEOREM; FERMIONS; QUANTUM ENTANGLEMENT; QUANTUM FIELD THEORY; QUANTUM INFORMATION; QUANTUM TELEPORTATION

### Citation Formats

```
Farahmand, Mehrnoosh, Mohammadzadeh, Hosein, Rahimi, Robabeh, and Mehri-Dehnavi, Hossein.
```*Residual entanglement of accelerated fermions is useful*. United States: N. p., 2017.
Web. doi:10.1016/J.AOP.2017.05.019.

```
Farahmand, Mehrnoosh, Mohammadzadeh, Hosein, Rahimi, Robabeh, & Mehri-Dehnavi, Hossein.
```*Residual entanglement of accelerated fermions is useful*. United States. doi:10.1016/J.AOP.2017.05.019.

```
Farahmand, Mehrnoosh, Mohammadzadeh, Hosein, Rahimi, Robabeh, and Mehri-Dehnavi, Hossein. Tue .
"Residual entanglement of accelerated fermions is useful". United States. doi:10.1016/J.AOP.2017.05.019.
```

```
@article{osti_22701518,
```

title = {Residual entanglement of accelerated fermions is useful},

author = {Farahmand, Mehrnoosh and Mohammadzadeh, Hosein and Rahimi, Robabeh and Mehri-Dehnavi, Hossein},

abstractNote = {The non-vanishing residual entanglement, between the fermionic modes in the infinite acceleration limit, does not violate CHSH inequality, therefore it is not non-local. In this paper, we study the usefulness of the residual fermionic entanglement in single mode approximation and beyond single mode approximation. It is shown that there are some cases where the CHSH inequality is not violated by the residual entanglement, but the state is useful for quantum teleportation. Conditions for the violation of the CHSH inequality in terms of the “presence probability” of the particle in different Rindler regions are given for the state to be useful for teleportation and superdense coding. - Highlights: • Werner state is shared between an inertial observer and a uniformly accelerated one. • Single mode and beyond single mode approximation are considered. • Usefulness of residual entanglement in the infinite acceleration limit is studied. • The CHSH inequality and the quantum teleportation are used as a criterion. • Useful states for quantum information processing are found in the infinite acceleration.},

doi = {10.1016/J.AOP.2017.05.019},

journal = {Annals of Physics},

issn = {0003-4916},

number = ,

volume = 383,

place = {United States},

year = {2017},

month = {8}

}