6 citations · 9 across the 6 of their papers we have counts for
8 papers · 1 filter
Quantum Algorithms for Computational Fluid Dynamics
Mario Guillaume Cecile, Nis-Luca van Hülst, Tomohiro Hashizume +19
We present a comprehensive review of quantum approaches for solving partial differential equations (PDEs) arising in computational fluid dynamics (CFD). We examine fully quantum ap…
Quantum Variational Approaches to Plasma Equilibrium: Cost Function Design for the Grad-Shafranov Equation
Eleftherios Mastorakis, Muhammad Umer, Dimitris G. Angelakis
The solution of nonlinear partial differential equations constitutes an important application domain for variational quantum algorithms (VQAs). In this work, we extend the applicat…
Circuit Design Informed Adaptive Variational Quantum Algorithms
Muhammad Umer, Dimitris G. Angelakis
Resource-efficient computation is of central importance in the noisy intermediate-scale quantum (NISQ) era, where decoherence, gate errors, and restricted qubit connectivity severe…
Minimum Toffoli depth for the multi-controlled Toffoli gate via teleportation
Spyros Tserkis, Muhammad Umer, Eleftherios Mastorakis +1
The decomposition of complex quantum operations into experimentally feasible gate sets has been a central challenge since the early development of quantum computing. The multi-cont…
Depth optimization of CNOT ladder circuits
Spyros Tserkis, Muhammad Umer, Dimitris G. Angelakis
The increasing depth of quantum circuits presents a major limitation for the execution of quantum algorithms, as the limited coherence time of physical qubits leads to noise that m…
Resource-Efficient Hadamard Test Tailored Variational Framework for Nonlinear Dynamics on Quantum Computers
Eleftherios Mastorakis, Muhammad Umer, Milena Guevara-Bertsch +3
Resource-efficient, low-depth implementations of quantum circuits remain a promising strategy for achieving reliable and scalable computation on quantum hardware, as they reduce ga…
Efficient Estimation and Sequential Optimization of Cost Functions in Variational Quantum Algorithms
Muhammad Umer, Eleftherios Mastorakis, Dimitris G. Angelakis
Classical optimization is a cornerstone of the success of variational quantum algorithms, which often require determining the derivatives of the cost function relative to variation…
Probing the limits of variational quantum algorithms for nonlinear ground states on real quantum hardware: The effects of noise
Muhammad Umer, Eleftherios Mastorakis, Sofia Evangelou +1
A recently proposed variational quantum algorithm has expanded the horizon of variational quantum computing to nonlinear physics and fluid dynamics. In this work, we probe the abil…