PoS - Proceedings of Science
Volume 394 - RDP online workshop "Recent Advances in Mathematical Physics" (Regio2020) - Session 1
Exactly solvable Hamiltonians in quantum computing
G. Giorgadze
Full text: pdf
Published on: April 23, 2021
Abstract
In this paper, we investigate the problem of simulation of quantum-mechanical dynamical system with prescribed properties using of exactly solvable Hamiltonians. A method for solving time-dependent matrix Schrodinger equations in an explicit analytical form will be developed. It is based on exactly solvable time-independent problems, a certain choice of the initial conditions, and special time-dependent gauge transformations converting time-independent problems to time-dependent ones. An application of the exactly solvable time-dependent problems thus obtained to the construction of a universal set of gates for quantum computers is also presented.
DOI: https://doi.org/10.22323/1.394.0002
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