Universal quantum computation with temporal-mode bilayer square lattices

TL;DR

This paper presents a new experimental design for universal continuous-variable quantum computation using temporal-mode bilayer square lattices, enabling measurement-based Gaussian and cubic-phase gates with linear optics.

Contribution

It introduces a protocol for generating a universal bilayer-square-lattice cluster state with temporal modes and a measurement device for adaptive cubic-phase gates.

Findings

Successful generation of the bilayer-square-lattice cluster state.

Implementation of measurement-based Gaussian unitary gates with homodyne detection.

Proposal of a measurement device for adaptive cubic-phase gates.

Abstract

We propose an experimental design for universal continuous-variable quantum computation that incorporates recent innovations in linear-optics-based continuous-variable cluster state generation and cubic-phase gate teleportation. The first ingredient is a protocol for generating the bilayer-square-lattice cluster state (a universal resource state) with temporal modes of light. With this state, measurement-based implementation of Gaussian unitary gates requires only homodyne detection. Second, we describe a measurement device that implements an adaptive cubic-phase gate, up to a random phase-space displacement. It requires a two-step sequence of homodyne measurements and consumes a (non-Gaussian) cubic-phase state.