4 papers
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…
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…
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…