Implementation of biased discrete-time quantum walks on the spin and orbital angular momentum states of light

Gururaj Kadiri¹, Radhakrishna B¹, Gayathri G T^1,2, Awadhesh Mani^1,2, and Sandip Dhara^1,2
1Materials Science Group, Indira Gandhi Centre for Atomic Research, Kalpakkam-603 102, India.

²Homi Bhabha National Institute, Training School Complex, Anushaktinagar, Mumbai, 400094, India

Discrete-time quantum walks bring to the forefront several unique features of quantum physics, and are also a useful paradigm for understanding quantum algorithms and simulations. These quantum walks are being experimentally implemented using light with spin and orbital angular momentum degrees of freedom. Recently, one of the authors has proposed a novel generalization to discrete time quantum walks by introducing quantum steps with asymmetric stride lengths and non-opposite walk direction consequent to the outcome of a coin toss. In this perspective article, we explore the scope and generality of these biased quantum walks towards engineering of desired quantum states on the coin-position composite space. We also give a scheme for realizing these biased quantum walks in the spin and orbital angular momentum states of light. . © Anita Publications. All rights reserved.
Doi: 10.54955/AJP.33.11.2024.741-753
Keywords: Quantum walks, Quantum state engineering, Orbital angular momentum of light, Spin-orbit interaction in light.

Peer Review Information
Method: Single- anonymous; Screened for Plagiarism? Yes
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