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quant-ph2025
RhoDARTS: Differentiable Quantum Architecture Search with Density Matrix Simulations
Swagat Kumar, Jan-Nico Zaech, Colin Michael Wilmott +1
Variational Quantum Algorithms (VQAs) are a promising approach to leverage Noisy Intermediate-Scale Quantum (NISQ) computers. However, choosing optimal quantum circuits that effici…
quant-ph2024
Simulating the non-Hermitian dynamics of financial option pricing with quantum computers
Swagat Kumar, Colin Michael Wilmott
The Schrodinger equation describes how quantum states evolve according to the Hamiltonian of the system. For physical systems, we have it that the Hamiltonian must be a Hermitian o…
quant-ph2024
Generalising quantum imaginary time evolution to solve linear partial differential equations
Swagat Kumar, Colin Michael Wilmott
The quantum imaginary time evolution (QITE) methodology was developed to overcome a critical issue as regards non-unitarity in the implementation of imaginary time evolution on a q…