IMSc Webinar

Quantum simulation and computation using discrete-time quantum walk

Shivani Singh

The Institute of Mathematical Sciences

Quantum walk is a quantum analogue of classical random walk that has been extensively used for developing quantum algorithms for quantum simulations and quantum computation. The speed-up observed in the spread of probability distribution of quantum walk compared to its classical counterpart can be attributed to quantum phenomenon such as superposition, and coherence in position space of the walker (also referred as particle).
In this thesis defence talk I will present the use of discrete-time quantum walk as an operational tool for developing new protocols and efficient quantum circuits for quantum simulation. I will focus on simulation of accelerated quantum dynamics and simulation of Dirac particle dynamics near-term quantum hardware. I will also present a new way of realizing universal quantum computation using a single particle
quantum walk. For this purpose, we have made use of unique features of the variants of discrete-time quantum walk namely, directed quantum walk, standard quantum walk, and split-step quantum walk.


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