skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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 Laboratory (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:
Journal Article: 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. doi: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. 2015. "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},
url = {https://www.osti.gov/biblio/1235819}, journal = {Physical Review A - Atomic, Molecular, and Optical Physics},
issn = {1050-2947},
number = 6,
volume = 92,
place = {United States},
year = {Mon Dec 14 00:00:00 EST 2015},
month = {Mon Dec 14 00:00:00 EST 2015}
}

Journal Article:

Citation Metrics:
Cited by: 34 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Quantum Computation and Quantum Information
book, January 2011


Quantum Mechanics Helps in Searching for a Needle in a Haystack
journal, July 1997


Simulating physics with computers
journal, June 1982


Quantum simulation
journal, March 2014


Quantum Algorithms for Quantum Field Theories
journal, May 2012


Multiscale quantum simulation of quantum field theory using wavelets
journal, September 2015


Quantum computers
journal, March 2010


Quantum Computation over Continuous Variables
journal, February 1999


Gaussian quantum information
journal, May 2012


A One-Way Quantum Computer
journal, May 2001


Continuous-variable Gaussian analog of cluster states
journal, March 2006


Universal Quantum Computation with Continuous-Variable Cluster States
journal, September 2006


Demonstration of a fully tunable entangling gate for continuous-variable one-way quantum computation
journal, September 2015


Experimental realization of a dynamic squeezing gate
journal, December 2014


Parallel Generation of Quadripartite Cluster Entanglement in the Optical Frequency Comb
journal, July 2011


Ultra-large-scale continuous-variable cluster states multiplexed in the time domain
journal, November 2013


Experimental Realization of Multipartite Entanglement of 60 Modes of a Quantum Optical Frequency Comb
journal, March 2014


Repeat-until-success cubic phase gate for universal continuous-variable quantum computation
journal, March 2015


Quantum secret sharing with continuous-variable cluster states
journal, October 2013


Building Gaussian cluster states by linear optics
journal, September 2007


Quantum computing with continuous-variable clusters
journal, June 2009


Noise analysis of single-mode Gaussian operations using continuous-variable cluster states
journal, December 2014


Detecting topological entanglement entropy in a lattice of quantum harmonic oscillators
journal, August 2014


Weaving quantum optical frequency combs into continuous-variable hypercubic cluster states
journal, September 2014


Temporal-mode continuous-variable cluster states using linear optics
journal, June 2011


Encoding a qubit in an oscillator
journal, June 2001


Limitations on continuous variable quantum algorithms with Fourier transforms
journal, October 2009


Unifying parameter estimation and the Deutsch-Jozsa algorithm for continuous variables
journal, October 2010


Gaussian quantum computation with oracle-decision problems
journal, September 2012


Squeezing as an irreducible resource
journal, May 2005


Experimental realization of any discrete unitary operator
journal, July 1994


Counting near-infrared single-photons with 95% efficiency
journal, January 2008


Continuous-variable and hybrid quantum gates
journal, October 2001


Quantum information with continuous variables
journal, June 2005


Works referencing / citing this record:

Continuous variable quantum optical simulation for time evolution of quantum harmonic oscillators
journal, March 2016


Pedagogical introduction to the entropy of entanglement for Gaussian states
journal, March 2018


Continuous-variable quantum computing in the quantum optical frequency comb
journal, January 2019


Client-friendly continuous-variable blind and verifiable quantum computing
journal, December 2019


Quantum Machine Learning over Infinite Dimensions
journal, February 2017


Quantum machine learning over infinite dimensions
text, January 2016