Optimized QAOA ansatz design for two-body Hamiltonian problems
Ritajit Majumdar, Dhiraj Madan, et al.
VLSID 2024
Quantum circuits generating probability distributions has applications in several areas. Areas like finance require quantum circuits that can generate distributions that mimic some given data pattern. Hamiltonian simulations require circuits that can initialize the wave function of a physical quantum system. These wave functions, in several cases, are identical to some very well known probability distributions. In this paper we discuss ways to construct parameterized quantum circuits that can generate both symmetric as well as asymmetric distributions. We follow the trajectory of quantum states as single and two qubit operations get applied to the system, and find out the best possible way to arrive at the desired distribution. The parameters are optimized by a variational solver. We present results from both simulators as well as real IBM quantum hardwares.
Ritajit Majumdar, Dhiraj Madan, et al.
VLSID 2024
Marco Antonio Guimaraes Auad Barroca, Rodrigo Neumann Barros Ferreira, et al.
ACS Fall 2024
Manuel John, Julian Schuhmacher, et al.
Entropy
Werner Dobrautz, Igor Sokolov, et al.
APS March Meeting 2023