All-optical quantum computing using cubic phase gates

Niklas Budinger

doi:10.1103/PhysRevResearch.6.023332

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All-optical quantum computing using cubic phase gates

2024-06-28

Niklas Budinger *

Akira Furusawa

Peter van Loock

DOI：10.1103/PhysRevResearch.6.023332

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Original request for help

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Abstract

En 中文

If suitable quantum optical interactions were available, transforming the field mode operators in a nonlinear fashion, the all-photonics platform could be one of the strongest contenders for realizing a quantum computer. While single -photon qubits may be processed directly, brighter logical qubits may be embedded in individual oscillator modes, using so-called bosonic codes, for an in -principle fault -tolerant processing. In this paper, we show how elements of all -optical, universal, and fault -tolerant quantum computation can be implemented using only beam splitters together with single -mode cubic phase gates in reasonable numbers, and possibly off-line squeezed -state or single -photon resources. Our approach is based on a decomposition technique combining exact gate decompositions and approximate Trotterization. This allows for efficient decompositions of certain nonlinear continuous -variable multimode gates into the elementary gates, where the few cubic gates needed may even be weak or all identical, thus facilitating potential experiments. The final gate operations include two -mode controlled phase rotation and three -mode Rabi-type Hamiltonian gates, which are shown to be employable for realizing high-fidelity single -photon two-qubit entangling gates or creating high -quality Gottesman-KitaevPreskill states. We expect our method to be of general use with various applications, including those that rely on quartic Kerr -type interactions.

Keywords:

MANY-BODY THEORIES

GENERATION

QUBIT

COMPUTATION

STATES

CODES

Journal

Physical Review Research

IF:

4.2

Papers:

7.6K

Citations:

2.7W

Organization

University of Tokyo

Scholars:

7.1W

Papers: 6.5W

Citations: 2.2K

Johannes Gutenberg University of Mainz

Scholars:

2.4W

Papers: 1.8W

Citations: 28

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