Quantum simulation of quantum field theory using continuous variables
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 continuousvariable 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 continuousvariable 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]}
 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:
 Grant/Contract Number:
 AC0500OR22725
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review. A
 Additional Journal Information:
 Journal Volume: 92; Journal Issue: 6; Journal ID: ISSN 10502947
 Publisher:
 American Physical Society (APS)
 Research Org:
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
 Sponsoring Org:
 USDOE
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
 OSTI Identifier:
 1235819
 Alternate Identifier(s):
 OSTI ID: 1229595
Marshall, Kevin, Pooser, Raphael C., Siopsis, George, and Weedbrook, Christian. Quantum simulation of quantum field theory using continuous variables. United States: N. p.,
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. doi: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.
doi: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 continuousvariable 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 continuousvariable 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},
number = 6,
volume = 92,
place = {United States},
year = {2015},
month = {12}
}