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Geometric quantum information structure in quantum fields and their lattice simulation

Klco, Natalie and Savage, Martin J. (2021) Geometric quantum information structure in quantum fields and their lattice simulation. Physical Review D, 103 (6). Art. No. 065007. ISSN 2470-0010. doi:10.1103/physrevd.103.065007.

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An upper limit to distillable entanglement between two disconnected regions of massless noninteracting scalar field theory has an exponential decay defined by a geometric decay constant. When regulated at short distances with a spatial lattice, this entanglement abruptly vanishes beyond a dimensionless separation, defining a negativity sphere. In two spatial dimensions, we determine this geometric decay constant between a pair of disks and the growth of the negativity sphere toward the continuum through a series of lattice calculations. Making the connection to quantum field theories in three-spatial dimensions, assuming such quantum information scales appear also in quantum chromodynamics (QCD), a new relative scale may be present in effective field theories describing the low-energy dynamics of nucleons and nuclei. We highlight potential impacts of the distillable entanglement structure on effective field theories, lattice QCD calculations and future quantum simulations.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Klco, Natalie0000-0003-2534-876X
Savage, Martin J.0000-0001-6502-7106
Additional Information:© 2021 American Physical Society. Received 24 September 2020; accepted 2 February 2021; published 22 March 2021. We would like to thank Silas Beane, Ramya Bhaskar, Joe Carlson, David Kaplan, Pavel Lougovski, Aidan Murran, Caroline Robin, Kenneth Roche, and Alessandro Roggero for valuable discussions. We would also like to thank Center for Experimental Nuclear Physics and Astrophysics (CENPA) at the University of Washington for providing an effective work environment over a period of many months for processing and developing many of the ideas and calculations presented in this paper. Some of this work was performed on the UW’s HYAK High Performance and Data Ecosystem. We have made extensive use of Wolfram Mathematica [109] and the Avanpix multiprecision computing toolbox [110] for matlab [111]. N. K. and M. J. S. were supported in part by DOE Grant No. DE-FG02-00ER41132 and Fermi National Accelerator Laboratory PO No. 652197. This work is supported in part by the U.S. Department of Energy, Office of Science, Office of Advanced Scientific Computing Research (ASCR) quantum algorithm teams program, under field work Proposal No. ERKJ333. N. K. was supported in part by a Microsoft Research Ph.D. fellowship.
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02-00ER41132
Department of Energy (DOE)ERKJ333
Microsoft ResearchUNSPECIFIED
Issue or Number:6
Record Number:CaltechAUTHORS:20210323-073930352
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108523
Deposited By: Tony Diaz
Deposited On:23 Mar 2021 19:06
Last Modified:16 Nov 2021 19:12

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