7 papers
Entropy from inclusive scattering
M. A. Braun
Introduction of probabilities from multiple inclusive cross-sections is studied in the unitary pomeron exchange models with no interaction between the pomerons themselves. Discrepa…
How Many Shots Does It Take? A Noise-Aware Quantum Resource Allocation Framework
Prateek P. Kulkarni, Sumit K. Mandal
Any algorithm execution on quantum computers requires several repeated and costly executions (known as shots) to obtain reliable results. In this work, we propose a closed-form acc…
Quantum Algorithms for Approximate Graph Isomorphism Testing
Prateek P. Kulkarni
The graph isomorphism problem asks whether two graphs are identical up to vertex relabeling. While the exact problem admits quasi-polynomial-time classical algorithms, many applica…
One Key Good, L Keys Better: List Decoding Meets Quantum Privacy Amplification
Prateek P. Kulkarni
We introduce list privacy amplification (LPA), a relaxation of the final step of quantum key distribution (QKD) in which Alice and Bob extract a list of candidate keys from a r…
Entanglement-Dependent Error Bounds for Hamiltonian Simulation
Prateek P. Kulkarni
We establish tight connections between entanglement entropy and the approximation error in Trotter-Suzuki product formulas for Hamiltonian simulation. Product formulas remain the w…
Bhargava Cube--Inspired Quadratic Regularization for Structured Neural Embeddings
S Sairam, Prateek P Kulkarni
We present a novel approach to neural representation learning that incorporates algebraic constraints inspired by Bhargava cubes from number theory. Traditional deep learning metho…