This repository contains my current research work in Quantum technology. My primary interest is in knowing "WHY" and "WHERE" Quantum-ness can be used as a resource in computation.
Advisor: Prof. Apoorva Patel, IISc Benagluru
⭐ Quantum Complexity Theory (QCT)
Paper reviews
Forrelation: A problem that optimally separates quantum and classical computation [Aaronson-Ambianis 2015]. (Reviewed; see presentation folder)
Oracle separation of BQP and PH(Polynomial Hierarchy) [Raz-Tal 2018]. (Partially reviewed. Forrelation)
Verifiable Qauntum Advantage without structure [Yamakawa-Zhandry 2022]. (Reviewed; see presentation folder)
⭐ Quantum Linear System Algorithms (QLSA)
Paper reviews
Efficient Quantum Algorithms for Dissipative Nonlinear Differential Equation [Jin-Peng Liu,..., Andrew Childs 2021]. (Reviewed; see presentation folder)
Towards provably efficient Quantum algorithms for large-scale Machine-learning models [Pre-print: JunyuLiu,.., Liang Jiang 2023] (Reviewed; see presentation folder)
⭐ Quantum Algorithms for Optimization
Paper reviews
A review on Quantum Approximate Optimization Algorithm (QAOA) and its variant [Kostas Blekos, ..., Alessandro Summer 2023] (Review Ongoing)
Quantum computing for finance: Nature Reviews Physics [Herman, ..., Alexeev 2023] (Review Ongoing)
⭐ Quantum Learning theory
Paper reviews
Quantum Learning of Concentrated Boolean Functions [Krishna Palem, Duc Hung Pham, M. V. Panduranga Rao (2022)] (Reviewed; see presentation folder)
Drafting the problem statement with a tentative roadmap to approach it.
Approval from the advisor and M.Tech project committee.
... (to be updated in due date)