Quantum walks in quasi-periodic arrays of waveguides

Dan T. Nguyen; Daniel A. Nolan; Nicholas F. Borrelli

doi:10.1117/12.2510176

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4 March 2019 Quantum walks in quasi-periodic arrays of waveguides

Dan T. Nguyen, Daniel A. Nolan, Nicholas F. Borrelli

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Proceedings Volume 10933, Advances in Photonics of Quantum Computing, Memory, and Communication XII; 109330X (2019) https://doi.org/10.1117/12.2510176
Event: SPIE OPTO, 2019, San Francisco, California, United States

Abstract

In this paper, we present results of numerical investigation of quantum walks (QWs) in different type arrays of single-mode waveguides: (i) regular arrays of identical waveguides (AIW), (ii) periodic arrays of two different waveguides (PAW), (iii) quasi-periodic arrays of waveguides with Fibonacci sequences (FAW), (iv) quasi-periodic arrays of waveguides with Thue-Morse sequences (TMAW). Our simulations show in contrast with randomly disordered systems, localized QWs in quasi-periodic arrays of waveguides FAWs and TMAWs are predictable and controllable due to the deterministic disorder nature of the quasi-periodic systems.

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Dan T. Nguyen, Daniel A. Nolan, and Nicholas F. Borrelli "Quantum walks in quasi-periodic arrays of waveguides", Proc. SPIE 10933, Advances in Photonics of Quantum Computing, Memory, and Communication XII, 109330X (4 March 2019); https://doi.org/10.1117/12.2510176

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