Quantum State Synthesis of Superconducting Resonators

TL;DR

This paper analyzes methods for synthesizing entangled states of superconducting resonators, proposing a new algorithm that efficiently creates NOON states without state-selective interactions.

Contribution

It introduces a novel state synthesis algorithm enabling linear-time NOON state preparation without state-selective interactions.

Findings

NOON states can be prepared in linear time relative to photon number

The methods utilize experimentally demonstrated resonator-atom interactions

The algorithms efficiently generate nonclassical entangled states

Abstract

We present a theoretical analysis of different methods to synthesize entangled states of two superconducting resonators. These methods use experimentally demonstrated interactions of resonators with artificial atoms, and offer efficient routes to generate nonclassical states. We analyze the theoretical structure of these algorithms and their average performance for arbitrary states and for deterministically preparing NOON states. Using a new state synthesis algorithm, we show that NOON states can be prepared in a time linear in the desired photon number and without any state-selective interactions.