Co-Processors for Quantum Devices

TL;DR

This paper explores quantum co-processors designed to efficiently perform core quantum operations like GHZ state production and quantum cloning, using Hamiltonian evolution and a novel parameter derivation technique.

Contribution

It introduces two quantum co-processor functions and a new method for deriving Hamiltonian parameters via Toda-like flow integration.

Findings

Demonstrated Hamiltonian-based GHZ state production

Implemented optimal universal quantum cloning

Developed a numerical technique for Hamiltonian parameter derivation

Abstract

Quantum devices, from simple fixed-function tools to the ultimate goal of a universal quantum computer, will require high quality, frequent repetition of a small set of core operations, such as the preparation of entangled states. These tasks are perfectly suited to realisation by a co-processor or supplementary instruction set, as is common practice in modern CPUs. In this paper, we present two quintessentially quantum co-processor functions: production of a GHZ state, and implementation of optimal universal (asymmetric) quantum cloning. Both are based on the evolution of a fixed Hamiltonian. We introduce a new technique for deriving the parameters of these Hamiltonians based on the numerical integration of Toda-like flows.