10 papers
Quantum Detection of Sequency-Band Structure
Alok Shukla, Prakash Vedula
We present a quantum algorithm for estimating the amplitude content of user-specified sequency bands in quantum-encoded signals. The method employs a sequency-ordered Quantum Walsh…
A Modular, Adaptive, and Scalable Quantum Factoring Algorithm
Alok Shukla, Prakash Vedula
Shor's algorithm for integer factorization offers an exponential speedup over classical methods but remains impractical on Noisy Intermediate Scale Quantum (NISQ) hardware due to t…
Towards Practical Quantum Phase Estimation: A Modular, Scalable, and Adaptive Approach
Alok Shukla, Prakash Vedula
Quantum Phase Estimation (QPE) is a cornerstone algorithm in quantum computing, with applications ranging from integer factorization to quantum chemistry simulations. However, the…
Modular Quantum Amplitude Estimation: A Scalable and Adaptive Framework
Alok Shukla, Prakash Vedula
Quantum Amplitude Estimation (QAE) is a key primitive in quantum computing, but its standard implementation using Quantum Phase Estimation is resource-intensive, requiring a large…
Generalized tensor transforms and their applications in classical and quantum computing
Alok Shukla, Prakash Vedula
We introduce a novel framework for Generalized Tensor Transforms (GTTs), constructed through an -fold tensor product of an arbitrary unitary matrix . This constr…
Quantum algorithm for edge detection in digital grayscale images
Mohit Rohida, Alok Shukla, Prakash Vedula
In this work, we propose a novel quantum algorithm for edge detection in digital grayscale images, based on the sequency-ordered Walsh-Hadamard transform. The proposed method signi…