Cyclic quantum walks: Photonic realization and decoherence analysis

F. Nejadsattari; Y. Zhang; M. N. Jayakody; F. Bouchard; H. Larocque; A. Sit; R. Fickler; E. Cohen; E. Karimi

doi:10.1117/12.2546566

Cyclic quantum walks: Photonic realization and decoherence analysis

F. Nejadsattari, Y. Zhang, M. N. Jayakody, F. Bouchard, H. Larocque, A. Sit, R. Fickler, E. Cohen, E. Karimi

Bar-Ilan University - The Alexander Kofkin Faculty of Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

Quantum walks serve as novel tools for performing efficient quantum computation and simulation. In a recent experimental demonstration [1] we have realized photonic quantum walks for simulating cyclic quantum systems, such as hexagonal lattices or aromatic molecules like benzene. In that experiment we explored the wave function dynamics and the probability distribution of a quantum particle located on a six-site system (with periodic boundary conditions), alongside with simpler demonstration of three- and four-site systems, under various initial conditions. Localization and revival of the wave function were demonstrated. After revisiting that experiment we will theoretically analyze the case of noisy quantum walks by implementing the bit-phase flip channel. This will allow us to draw conclusions regarding the performance of our photonic quantum simulation in noisy environments. Finally, we will briefly outline some future directions.

Original language	English
Title of host publication	Advanced Optical Techniques for Quantum Information, Sensing, and Metrology
Editors	Philip R. Hemmer, Alan L. Migdall, Zameer Ul Hasan
Publisher	SPIE
ISBN (Electronic)	9781510633537
DOIs	https://doi.org/10.1117/12.2546566
State	Published - 2020
Event	Advanced Optical Techniques for Quantum Information, Sensing, and Metrology 2020 - San Francisco, United States Duration: 4 Feb 2020 → 5 Feb 2020

Publication series

Name	Proceedings of SPIE - The International Society for Optical Engineering
Volume	11295
ISSN (Print)	0277-786X
ISSN (Electronic)	1996-756X

Conference

Conference	Advanced Optical Techniques for Quantum Information, Sensing, and Metrology 2020
Country/Territory	United States
City	San Francisco
Period	4/02/20 → 5/02/20

Bibliographical note

Publisher Copyright:
© COPYRIGHT SPIE. Downloading of the abstract is permitted for personal use only.

Funding

The work was supported by Canada Research Chairs (CRC) and Ontario’s Early Researcher Award. R.F. acknowledges the Academy of Finland through the Competitive Funding to Strengthen University Research Profiles (301820) and the Photonics Research and Innovation Flagship (PREIN - 320165).

Funders	Funder number
Canada Research Chairs
Academy of Finland	301820, 320165

Keywords

Decoherence
Photonic quantum walks
Quantum simulation

Access to Document

10.1117/12.2546566

Cite this

Nejadsattari, F., Zhang, Y., Jayakody, M. N., Bouchard, F., Larocque, H., Sit, A., Fickler, R., Cohen, E., & Karimi, E. (2020). Cyclic quantum walks: Photonic realization and decoherence analysis. In P. R. Hemmer, A. L. Migdall, & Z. U. Hasan (Eds.), Advanced Optical Techniques for Quantum Information, Sensing, and Metrology Article 1129503 (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 11295). SPIE. https://doi.org/10.1117/12.2546566

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abstract = "Quantum walks serve as novel tools for performing efficient quantum computation and simulation. In a recent experimental demonstration [1] we have realized photonic quantum walks for simulating cyclic quantum systems, such as hexagonal lattices or aromatic molecules like benzene. In that experiment we explored the wave function dynamics and the probability distribution of a quantum particle located on a six-site system (with periodic boundary conditions), alongside with simpler demonstration of three- and four-site systems, under various initial conditions. Localization and revival of the wave function were demonstrated. After revisiting that experiment we will theoretically analyze the case of noisy quantum walks by implementing the bit-phase flip channel. This will allow us to draw conclusions regarding the performance of our photonic quantum simulation in noisy environments. Finally, we will briefly outline some future directions.",

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Nejadsattari, F, Zhang, Y, Jayakody, MN, Bouchard, F, Larocque, H, Sit, A, Fickler, R, Cohen, E & Karimi, E 2020, Cyclic quantum walks: Photonic realization and decoherence analysis. in PR Hemmer, AL Migdall & ZU Hasan (eds), Advanced Optical Techniques for Quantum Information, Sensing, and Metrology., 1129503, Proceedings of SPIE - The International Society for Optical Engineering, vol. 11295, SPIE, Advanced Optical Techniques for Quantum Information, Sensing, and Metrology 2020, San Francisco, United States, 4/02/20. https://doi.org/10.1117/12.2546566

Cyclic quantum walks: Photonic realization and decoherence analysis. / Nejadsattari, F.; Zhang, Y.; Jayakody, M. N. et al.
Advanced Optical Techniques for Quantum Information, Sensing, and Metrology. ed. / Philip R. Hemmer; Alan L. Migdall; Zameer Ul Hasan. SPIE, 2020. 1129503 (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 11295).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Nejadsattari F, Zhang Y, Jayakody MN, Bouchard F, Larocque H, Sit A et al. Cyclic quantum walks: Photonic realization and decoherence analysis. In Hemmer PR, Migdall AL, Hasan ZU, editors, Advanced Optical Techniques for Quantum Information, Sensing, and Metrology. SPIE. 2020. 1129503. (Proceedings of SPIE - The International Society for Optical Engineering). doi: 10.1117/12.2546566

Cyclic quantum walks: Photonic realization and decoherence analysis

Abstract

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Bibliographical note

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Keywords

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