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Title: Repeat-until-success cubic phase gate for universal continuous-variable quantum computation

Journal Article · · Physical Review A - Atomic, Molecular, and Optical Physics
 [1];  [2];  [3];  [4]
  1. Univ. of Toronto, ON (Canada). Dept. of Physics
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Quantum Information Science Group; Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy
  3. Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy
  4. QKD Corp., Toronto, ON (Canada)

We report that to achieve universal quantum computation using continuous variables, one needs to jump out of the set of Gaussian operations and have a non-Gaussian element, such as the cubic phase gate. However, such a gate is currently very difficult to implement in practice. Here we introduce an experimentally viable “repeat-until-success” approach to generating the cubic phase gate, which is achieved using sequential photon subtractions and Gaussian operations. Ultimately, we find that our scheme offers benefits in terms of the expected time until success, as well as the fact that we do not require any complex off-line resource state, although we require a primitive quantum memory.

Research Organization:
Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC05-00OR22725
OSTI ID:
1185866
Alternate ID(s):
OSTI ID: 1179951
Journal Information:
Physical Review A - Atomic, Molecular, and Optical Physics, Vol. 91, Issue 3; ISSN 1050-2947
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 49 works
Citation information provided by
Web of Science

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Cited By (24)

Continuous-variable quantum computing on encrypted data journal December 2016
Continuous-variable quantum computing in the quantum optical frequency comb journal January 2019
Deterministic nonlinear phase gates induced by a single qubit journal May 2018
Hybrid Rabi interactions with traveling states of light journal January 2020
Production of photonic universal quantum gates enhanced by machine learning journal July 2019
Linear and quadratic reservoir engineering of non-Gaussian states journal July 2019
Quantum hypergraph states in continuous variables journal December 2019
Client-friendly continuous-variable blind and verifiable quantum computing journal December 2019
Implementation of a quantum cubic gate by an adaptive non-Gaussian measurement journal February 2016
Polynomial approximation of non-Gaussian unitaries by counting one photon at a time journal May 2017
ON states as resource units for universal quantum computation with photonic architectures journal June 2018
Quantum Machine Learning over Infinite Dimensions journal February 2017
Generation of a Cat State in an Optical Sideband journal October 2018
Tailoring Non-Gaussian Continuous-Variable Graph States journal November 2018
Steady-State Generation of Wigner-Negative States in One-Dimensional Resonance Fluorescence journal December 2018
All-Gaussian Universality and Fault Tolerance with the Gottesman-Kitaev-Preskill Code journal November 2019
Implementation of a quantum cubic gate by adaptive non-Gaussian measurement text January 2015
Quantum machine learning over infinite dimensions text January 2016
Polynomial approximation of non-Gaussian unitaries by counting one photon at a time text January 2017
Deterministic nonlinear phase gates induced by a single qubit text January 2017
Tailoring Non-Gaussian Continuous-Variable Graph States text January 2018
All-Gaussian universality and fault tolerance with the Gottesman-Kitaev-Preskill code text January 2019
Observation of Three-Photon Spontaneous Parametric Downconversion in a Superconducting Parametric Cavity text January 2019
Quantum Hypergraph States in Continuous Variables text January 2019

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