QUANTUM LEARNING SEMINAR LECTURE 2: GROVER'S ALGORITHM

DAVID A. MEYER

Pegah Fakhari, Karthikeyan Rajagopal, Sivasubramanya Nadar Balakrishnan +1 more

Inspired by quantum theory and reinforcement learning, a new framework of learning in unknown probabilistic environment is proposed. Several simulated experiments are given; the results demonstrate the robustness of the new algorithm for some complex problems. Also we generalized the Grover algorithm to improve the rate of converging to an optimal path. In other words, the new generalized algorithm helps to increase the probability of selecting good actions with better weights' adjustments.

Joonho Bae

Dr. Ayesha Malik

Quantum computing is a revolutionary field that promises to provide computational advantages that classical computers cannot achieve. This article delves into the intersection of quantum computing and its potential applications in machine learning (ML) and data science. By leveraging quantum mechanics, quantum computers can solve complex problems faster and more efficiently than traditional machines. The article explores key quantum algorithms, including Grover's algorithm and Shor's algorithm, and their potential to enhance the performance of ML models and data processing tasks. Furthermore, it provides a critical review of the ongoing research in quantum-enhanced machine learning (QML) and quantum data science (QDS), highlighting the challenges and future opportunities for integration into practical applications.

Sanjay Singh, M. Thurai Pandian, Ankur Kumar Aggarwal +3 more

Yuri I. Manin

This is an expository talk written for the Bourbaki Seminar. After a brief introduction, Section 1 discusses in the categorical language the structure of the classical deterministic computations. Basic notions of complexity icluding the P/NP problem are reviewed. Section 2 introduces the notion of quantum parallelism and explains the main issues of quantum computing. Section 3 is devoted to four quantum subroutines: initialization, quantum computing of classical Boolean functions, quantum Fourier transform, and Grover's search algorithm. The central Section 4 explains Shor's factoring algorithm. Section 5 relates Kolmogorov's complexity to the spectral properties of computable function. Appendix contributes to the prehistory of quantum computing.