Precise Time Evolution of Superconductive Phase Qubits

TL;DR

This paper introduces a precise analysis method for superconducting phase qubits using Feynman path integrals, estimating decay rates and studying Hamiltonian spectrum evolution to improve quantum gate fidelity.

Contribution

It presents a novel approach combining Feynman path integrals and instanton models for analyzing phase qubits and their spectral evolution for high-fidelity quantum gates.

Findings

Wave function and energy of pseudo ground state obtained

Decay rate and lifetime estimated using instanton approach

Spectrum evolution studied for quantum gate optimization

Abstract

New procedure on precise analysis of superconducting phase qubits using the concept of Feynman path integral in quantum mechanics and quantum field theory has been introduced. The wave function and imaginary part of the energy of the pseudo ground state of the Hamiltonian in phase qubits has been obtained from semi classical approximation and we we estimate decay rate, and thus the life time of meta stable using the approach of Instanton model. We devote the main effort to study the evolution of spectrum of Hamiltonian in time after addition of interaction Hamiltonian, in order to obtain the high fidelity quantum gates.