# Deterministic implementations of single-photon multi-qubit Deutsch–Jozsa algorithms with linear optics

## Abstract

It is very important to seek an efficient and robust quantum algorithm demanding less quantum resources. We propose one-photon three-qubit original and refined Deutsch–Jozsa algorithms with polarization and two linear momentums degrees of freedom (DOFs). Our schemes are constructed by solely using linear optics. Compared to the traditional ones with one DOF, our schemes are more economic and robust because the necessary photons are reduced from three to one. Our linear-optic schemes are working in a determinate way, and they are feasible with current experimental technology.

- Authors:

- Publication Date:

- OSTI Identifier:
- 22617463

- 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; ALGORITHMS; OPTICS; PHOTONS; QUBITS

### Citation Formats

```
Wei, Hai-Rui, E-mail: hrwei@ustb.edu.cn, and Liu, Ji-Zhen.
```*Deterministic implementations of single-photon multi-qubit Deutsch–Jozsa algorithms with linear optics*. United States: N. p., 2017.
Web. doi:10.1016/J.AOP.2017.01.012.

```
Wei, Hai-Rui, E-mail: hrwei@ustb.edu.cn, & Liu, Ji-Zhen.
```*Deterministic implementations of single-photon multi-qubit Deutsch–Jozsa algorithms with linear optics*. United States. doi:10.1016/J.AOP.2017.01.012.

```
Wei, Hai-Rui, E-mail: hrwei@ustb.edu.cn, and Liu, Ji-Zhen. Wed .
"Deterministic implementations of single-photon multi-qubit Deutsch–Jozsa algorithms with linear optics". United States.
doi:10.1016/J.AOP.2017.01.012.
```

```
@article{osti_22617463,
```

title = {Deterministic implementations of single-photon multi-qubit Deutsch–Jozsa algorithms with linear optics},

author = {Wei, Hai-Rui, E-mail: hrwei@ustb.edu.cn and Liu, Ji-Zhen},

abstractNote = {It is very important to seek an efficient and robust quantum algorithm demanding less quantum resources. We propose one-photon three-qubit original and refined Deutsch–Jozsa algorithms with polarization and two linear momentums degrees of freedom (DOFs). Our schemes are constructed by solely using linear optics. Compared to the traditional ones with one DOF, our schemes are more economic and robust because the necessary photons are reduced from three to one. Our linear-optic schemes are working in a determinate way, and they are feasible with current experimental technology.},

doi = {10.1016/J.AOP.2017.01.012},

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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