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:
-
- Univ. of Toronto, Toronto, ON (Canada)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of Tennessee, Knoxville, TN (United States)
- Univ. of Tennessee, Knoxville, TN (United States)
- 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. 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. 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}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 32 works
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
Quantum Mechanics Helps in Searching for a Needle in a Haystack
journal, July 1997
- Grover, Lov K.
- Physical Review Letters, Vol. 79, Issue 2
Simulating physics with computers
journal, June 1982
- Feynman, Richard P.
- International Journal of Theoretical Physics, Vol. 21, Issue 6-7
Quantum simulation
journal, March 2014
- Georgescu, I. M.; Ashhab, S.; Nori, Franco
- Reviews of Modern Physics, Vol. 86, Issue 1
Quantum Algorithms for Quantum Field Theories
journal, May 2012
- Jordan, S. P.; Lee, K. S. M.; Preskill, J.
- Science, Vol. 336, Issue 6085
Multiscale quantum simulation of quantum field theory using wavelets
journal, September 2015
- Brennen, Gavin K.; Rohde, Peter; Sanders, Barry C.
- Physical Review A, Vol. 92, Issue 3
Ultracold quantum gases and lattice systems: quantum simulation of lattice gauge theories
journal, July 2013
- Wiese, U. ‐J.
- Annalen der Physik, Vol. 525, Issue 10-11
Quantum computers
journal, March 2010
- Ladd, T. D.; Jelezko, F.; Laflamme, R.
- Nature, Vol. 464, Issue 7285
Quantum Computation over Continuous Variables
journal, February 1999
- Lloyd, Seth; Braunstein, Samuel L.
- Physical Review Letters, Vol. 82, Issue 8
Gaussian quantum information
journal, May 2012
- Weedbrook, Christian; Pirandola, Stefano; García-Patrón, Raúl
- Reviews of Modern Physics, Vol. 84, Issue 2
A One-Way Quantum Computer
journal, May 2001
- Raussendorf, Robert; Briegel, Hans J.
- Physical Review Letters, Vol. 86, Issue 22
Continuous-variable Gaussian analog of cluster states
journal, March 2006
- Zhang, Jing; Braunstein, Samuel L.
- Physical Review A, Vol. 73, Issue 3
Universal Quantum Computation with Continuous-Variable Cluster States
journal, September 2006
- Menicucci, Nicolas C.; van Loock, Peter; Gu, Mile
- Physical Review Letters, Vol. 97, Issue 11
Demonstration of a fully tunable entangling gate for continuous-variable one-way quantum computation
journal, September 2015
- Yokoyama, Shota; Ukai, Ryuji; Armstrong, Seiji C.
- Physical Review A, Vol. 92, Issue 3
Experimental realization of a dynamic squeezing gate
journal, December 2014
- Miyata, Kazunori; Ogawa, Hisashi; Marek, Petr
- Physical Review A, Vol. 90, Issue 6
Parallel Generation of Quadripartite Cluster Entanglement in the Optical Frequency Comb
journal, July 2011
- Pysher, Matthew; Miwa, Yoshichika; Shahrokhshahi, Reihaneh
- Physical Review Letters, Vol. 107, Issue 3
Generation and eight-port homodyne characterization of time-bin qubits for continuous-variable quantum information processing
journal, April 2013
- Takeda, Shuntaro; Mizuta, Takahiro; Fuwa, Maria
- Physical Review A, Vol. 87, Issue 4
Ultra-large-scale continuous-variable cluster states multiplexed in the time domain
journal, November 2013
- Yokoyama, Shota; Ukai, Ryuji; Armstrong, Seiji C.
- Nature Photonics, Vol. 7, Issue 12
Experimental Realization of Multipartite Entanglement of 60 Modes of a Quantum Optical Frequency Comb
journal, March 2014
- Chen, Moran; Menicucci, Nicolas C.; Pfister, Olivier
- Physical Review Letters, Vol. 112, Issue 12
Repeat-until-success cubic phase gate for universal continuous-variable quantum computation
journal, March 2015
- Marshall, Kevin; Pooser, Raphael; Siopsis, George
- Physical Review A, Vol. 91, Issue 3
Quantum secret sharing with continuous-variable cluster states
journal, October 2013
- Lau, Hoi-Kwan; Weedbrook, Christian
- Physical Review A, Vol. 88, Issue 4
Building Gaussian cluster states by linear optics
journal, September 2007
- van Loock, Peter; Weedbrook, Christian; Gu, Mile
- Physical Review A, Vol. 76, Issue 3
Quantum computing with continuous-variable clusters
journal, June 2009
- Gu, Mile; Weedbrook, Christian; Menicucci, Nicolas C.
- Physical Review A, Vol. 79, Issue 6
Noise analysis of single-mode Gaussian operations using continuous-variable cluster states
journal, December 2014
- Alexander, Rafael N.; Armstrong, Seiji C.; Ukai, Ryuji
- Physical Review A, Vol. 90, Issue 6
Detecting topological entanglement entropy in a lattice of quantum harmonic oscillators
journal, August 2014
- Demarie, Tommaso F.; Linjordet, Trond; Menicucci, Nicolas C.
- New Journal of Physics, Vol. 16, Issue 8
Weaving quantum optical frequency combs into continuous-variable hypercubic cluster states
journal, September 2014
- Wang, Pei; Chen, Moran; Menicucci, Nicolas C.
- Physical Review A, Vol. 90, Issue 3
Temporal-mode continuous-variable cluster states using linear optics
journal, June 2011
- Menicucci, Nicolas C.
- Physical Review A, Vol. 83, Issue 6
Fault-Tolerant Measurement-Based Quantum Computing with Continuous-Variable Cluster States
journal, March 2014
- Menicucci, Nicolas C.
- Physical Review Letters, Vol. 112, Issue 12
Encoding a qubit in an oscillator
journal, June 2001
- Gottesman, Daniel; Kitaev, Alexei; Preskill, John
- Physical Review A, Vol. 64, Issue 1
Limitations on continuous variable quantum algorithms with Fourier transforms
journal, October 2009
- Adcock, Mark R. A.; Høyer, Peter; Sanders, Barry C.
- New Journal of Physics, Vol. 11, Issue 10
Unifying parameter estimation and the Deutsch-Jozsa algorithm for continuous variables
journal, October 2010
- Zwierz, Marcin; Pérez-Delgado, Carlos A.; Kok, Pieter
- Physical Review A, Vol. 82, Issue 4
Gaussian quantum computation with oracle-decision problems
journal, September 2012
- Adcock, Mark R. A.; Høyer, Peter; Sanders, Barry C.
- Quantum Information Processing, Vol. 12, Issue 4
Squeezing as an irreducible resource
journal, May 2005
- Braunstein, Samuel L.
- Physical Review A, Vol. 71, Issue 5
Experimental realization of any discrete unitary operator
journal, July 1994
- Reck, Michael; Zeilinger, Anton; Bernstein, Herbert J.
- Physical Review Letters, Vol. 73, Issue 1
Counting near-infrared single-photons with 95% efficiency
journal, January 2008
- Lita, Adriana E.; Miller, Aaron J.; Nam, Sae Woo
- Optics Express, Vol. 16, Issue 5
Continuous-variable and hybrid quantum gates
journal, October 2001
- Wang, Xiaoguang
- Journal of Physics A: Mathematical and General, Vol. 34, Issue 44
Quantum information with continuous variables
journal, June 2005
- Braunstein, Samuel L.; van Loock, Peter
- Reviews of Modern Physics, Vol. 77, Issue 2
Works referencing / citing this record:
Continuous variable quantum optical simulation for time evolution of quantum harmonic oscillators
journal, March 2016
- Deng, Xiaowei; Hao, Shuhong; Guo, Hong
- Scientific Reports, Vol. 6, Issue 1
Pedagogical introduction to the entropy of entanglement for Gaussian states
journal, March 2018
- Demarie, Tommaso F.
- European Journal of Physics, Vol. 39, Issue 3
Continuous-variable quantum computing in the quantum optical frequency comb
journal, January 2019
- Pfister, Olivier
- Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 53, Issue 1
Client-friendly continuous-variable blind and verifiable quantum computing
journal, December 2019
- Liu, Nana; Demarie, Tommaso F.; Tan, Si-Hui
- Physical Review A, Vol. 100, Issue 6
Quantum Machine Learning over Infinite Dimensions
journal, February 2017
- Lau, Hoi-Kwan; Pooser, Raphael; Siopsis, George
- Physical Review Letters, Vol. 118, Issue 8
Characterizing the performance of continuous-variable Gaussian quantum gates
journal, February 2020
- Sharma, Kunal; Wilde, Mark M.
- Physical Review Research, Vol. 2, Issue 1
Quantum machine learning over infinite dimensions
text, January 2016
- Lau, Hoi-Kwan; Pooser, Raphael; Siopsis, George
- arXiv
Simulations of Subatomic Many-Body Physics on a Quantum Frequency Processor
text, January 2018
- Lu, Hsuan-Hao; Klco, Natalie; Lukens, Joseph M.
- arXiv
Characterizing the performance of continuous-variable Gaussian quantum gates
text, January 2018
- Sharma, Kunal; Wilde, Mark M.
- arXiv