Quantum Computation Based on Quantum Adiabatic Bifurcations of Kerr-Nonlinear Parametric Oscillators

TL;DR

This paper explores quantum bifurcation machines based on Kerr-nonlinear parametric oscillators, highlighting their potential for quantum computation and optimization, and discusses their physical implementation using superconducting circuits.

Contribution

It provides a theoretical framework for KPOs and QbMs, comparing them with dissipative systems and proposing superconducting circuits as a practical implementation.

Findings

KPOs enable quantum superpositions like Schrödinger cat states.

QbMs can perform quantum adiabatic optimization and universal quantum computation.

Superconducting circuits with Josephson junctions are promising for implementing KPOs.

Abstract

Quantum computers with Kerr-nonlinear parametric oscillators (KPOs) have recently been proposed by the author and others. Quantum computation using KPOs is based on quantum adiabatic bifurcations of the KPOs, which lead to quantum superpositions of coherent states, such as Schrodinger cat states. Therefore, these quantum computers are referred to as "quantum bifurcation machines (QbMs)." QbMs can be used for qauntum adiabatic optimization and universal quantum computation. Superconducting circuits with Josephson junctions, Josephson parametric oscillators (JPOs) in particular, are promising for physical implementation of KPOs. Thus, KPOs and QbMs offer not only a new path toward the realization of quantum bits (qubits) and quantum computers, but also a new application of JPOs. Here we theoretically explain the physics of KPOs and QbMs, comparing them with their dissipative counterparts. Their physical implementations with superconducting circuits are also presented.