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Title: Quantum simulation of quantum field theory using continuous variables

Abstract

Much progress has been made in the field of quantum computing using continuous variables over the last couple of years. This includes the generation of extremely large entangled cluster states (10,000 modes, in fact) as well as a fault tolerant architecture. This has lead to the point that continuous-variable quantum computing can indeed be thought of as a viable alternative for universal quantum computing. With that in mind, we present a new algorithm for continuous-variable quantum computers which gives an exponential speedup over the best known classical methods. Specifically, this relates to efficiently calculating the scattering amplitudes in scalar bosonic quantum field theory, a problem that is known to be hard using a classical computer. Thus, we give an experimental implementation based on cluster states that is feasible with today's technology.

Authors:
 [1];  [2];  [3];  [4]
  1. Univ. of Toronto, Toronto, ON (Canada)
  2. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)
  3. Univ. of Tennessee, Knoxville, TN (United States)
  4. CipherQ, Toronto (Canada)
Publication Date:
Research Org.:
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1235819
Alternate Identifier(s):
OSTI ID: 1229595
Grant/Contract Number:  
AC05-00OR22725
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review A - Atomic, Molecular, and Optical Physics
Additional Journal Information:
Journal Volume: 92; Journal Issue: 6; Journal ID: ISSN 1050-2947
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Marshall, Kevin, Pooser, Raphael C., Siopsis, George, and Weedbrook, Christian. Quantum simulation of quantum field theory using continuous variables. United States: N. p., 2015. Web. https://doi.org/10.1103/PhysRevA.92.063825.
Marshall, Kevin, Pooser, Raphael C., Siopsis, George, & Weedbrook, Christian. Quantum simulation of quantum field theory using continuous variables. United States. https://doi.org/10.1103/PhysRevA.92.063825
Marshall, Kevin, Pooser, Raphael C., Siopsis, George, and Weedbrook, Christian. Mon . "Quantum simulation of quantum field theory using continuous variables". United States. https://doi.org/10.1103/PhysRevA.92.063825. https://www.osti.gov/servlets/purl/1235819.
@article{osti_1235819,
title = {Quantum simulation of quantum field theory using continuous variables},
author = {Marshall, Kevin and Pooser, Raphael C. and Siopsis, George and Weedbrook, Christian},
abstractNote = {Much progress has been made in the field of quantum computing using continuous variables over the last couple of years. This includes the generation of extremely large entangled cluster states (10,000 modes, in fact) as well as a fault tolerant architecture. This has lead to the point that continuous-variable quantum computing can indeed be thought of as a viable alternative for universal quantum computing. With that in mind, we present a new algorithm for continuous-variable quantum computers which gives an exponential speedup over the best known classical methods. Specifically, this relates to efficiently calculating the scattering amplitudes in scalar bosonic quantum field theory, a problem that is known to be hard using a classical computer. Thus, we give an experimental implementation based on cluster states that is feasible with today's technology.},
doi = {10.1103/PhysRevA.92.063825},
journal = {Physical Review A - Atomic, Molecular, and Optical Physics},
number = 6,
volume = 92,
place = {United States},
year = {2015},
month = {12}
}

Journal Article:

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Cited by: 4 works
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