Andriyan Bayu Suksmono

Recently there are more promising qubit technology such as Majorana fermions Rydberg atoms and Silicon quantum dot have yet to be developed for realizing a quantum computer than Superconductivity and Ion trap into the world The simulation of the quantum hardware of these qubits can only be done numerically However a classical numerical simulation is limited concerning available resources The method for simulation of quantum hardware by quantum hardware may be necessary In this paper we propose a novel method for optimizing time propagation from initial states to aimed given states of systems by the Born machine We call this method the Hamiltonian Engineering Born Machine HEBM We calculated the optimal Hamiltonians for propagation to Bars and Stripes distribution Gaussian distribution and Gibbs state for $H=-\Sum Z_j Z_{j+1}$ and revealed that they can be realized rapidly and accurately

Observing rapid developments of both the number of qubits and quantum volume, especially with recent advances in ion-trap quantum computers, it is no doubt that Fault-Tolerant-Quantum-Computer (FTQC) will be realized in the near future. Since FTQC requires 10,000 physical qubits for every 100 logical ones, it will be used as the first large-scale Noisy-Intermediate-Scale-Quantum (NISQ) . The Variational Quantum Eigensolver (VQE) method will be used until large-scale FTQC with more than 100 logical qubits are realized. Therefore, the VQE method must be improved with respect to both accuracy and time to solution using large resource of the near FTQC . In this paper, we propose Tangent-Vector VQE (TVVQE) method to manage these issues. The method optimizes the norm of tangent vector of trial energy. We demonstrate the calculation of energy levels on Hydrogen molecule, Hubbard model, and Lithium Hydride molecule and reveal that TVVQE has a potential to calculate ground and excited energy levels more accurately than other VQE methods.