# Simultaneous Implementation of NiSWAP and NSWAP Gates Using N + 1 Qubits in a Cavity or Coupled to a Circuit

## Abstract

We propose an effective method to realize NiSWAP and NSWAP gates in a cavity or coupled to a circuit driven by a strong microwave field. The scheme is insensitive to the initial state of the resonator mode, and the operation time is independent of the number of qubits involved in the gates operations. These logic gates can be realized in a time much shorter than the radiative time and the lifetime of the cavity photon, and can be realized in a time (nanosecond-scale) much smaller than the decoherence time and the dephasing time (microsecond-scale) in circuit QED. Numerical simulation under the influence of the gates operations shows that the scheme can be implemented with high fidelity. We also propose a detailed procedure and experimentally analyze its feasibility. Moreover, the scheme might be experimentally achieved efficiently within current state-of-the-art technology.

- Authors:

- Université Hassan II, Laboratoire de Physique de la Matiére Condensée, Equipe Physique Quantique et Applications, Faculté des Sciences Ben M’sik (Morocco)

- Publication Date:

- OSTI Identifier:
- 22749866

- Resource Type:
- Journal Article

- Journal Name:
- Journal of Experimental and Theoretical Physics

- Additional Journal Information:
- Journal Volume: 126; Journal Issue: 5; Other Information: Copyright (c) 2018 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1063-7761

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMPUTERIZED SIMULATION; MICROWAVE RADIATION; OPERATION; QUANTUM ELECTRODYNAMICS; QUBITS

### Citation Formats

```
Said, T., Chouikh, A., and Bennai, M., E-mail: mdbennai@yahoo.fr, E-mail: mohamed.bennai@univh2m.ma.
```*Simultaneous Implementation of NiSWAP and NSWAP Gates Using N + 1 Qubits in a Cavity or Coupled to a Circuit*. United States: N. p., 2018.
Web. doi:10.1134/S106377611804012X.

```
Said, T., Chouikh, A., & Bennai, M., E-mail: mdbennai@yahoo.fr, E-mail: mohamed.bennai@univh2m.ma.
```*Simultaneous Implementation of NiSWAP and NSWAP Gates Using N + 1 Qubits in a Cavity or Coupled to a Circuit*. United States. doi:10.1134/S106377611804012X.

```
Said, T., Chouikh, A., and Bennai, M., E-mail: mdbennai@yahoo.fr, E-mail: mohamed.bennai@univh2m.ma. Tue .
"Simultaneous Implementation of NiSWAP and NSWAP Gates Using N + 1 Qubits in a Cavity or Coupled to a Circuit". United States. doi:10.1134/S106377611804012X.
```

```
@article{osti_22749866,
```

title = {Simultaneous Implementation of NiSWAP and NSWAP Gates Using N + 1 Qubits in a Cavity or Coupled to a Circuit},

author = {Said, T. and Chouikh, A. and Bennai, M., E-mail: mdbennai@yahoo.fr, E-mail: mohamed.bennai@univh2m.ma},

abstractNote = {We propose an effective method to realize NiSWAP and NSWAP gates in a cavity or coupled to a circuit driven by a strong microwave field. The scheme is insensitive to the initial state of the resonator mode, and the operation time is independent of the number of qubits involved in the gates operations. These logic gates can be realized in a time much shorter than the radiative time and the lifetime of the cavity photon, and can be realized in a time (nanosecond-scale) much smaller than the decoherence time and the dephasing time (microsecond-scale) in circuit QED. Numerical simulation under the influence of the gates operations shows that the scheme can be implemented with high fidelity. We also propose a detailed procedure and experimentally analyze its feasibility. Moreover, the scheme might be experimentally achieved efficiently within current state-of-the-art technology.},

doi = {10.1134/S106377611804012X},

journal = {Journal of Experimental and Theoretical Physics},

issn = {1063-7761},

number = 5,

volume = 126,

place = {United States},

year = {2018},

month = {5}

}