Bulletin of the American Physical Society
2018 Joint Fall Meeting of the Texas Sections of APS, AAPT and Zone 13 of the SPS
Volume 63, Number 18
Friday–Saturday, October 19–20, 2018; University of Houston, Houston, Texas
Session P02: High Energy and Particle Physics IV
2:10 PM–3:46 PM,
Saturday, October 20, 2018
Science and Engineering Classroom (SEC)
Room: 101
Chair: Claudia Ratti, University of Houston
Abstract ID: BAPS.2018.TSF.P02.5
Abstract: P02.00005 : Purification Complexity of Gaussian States*
2:58 PM–3:10 PM
Abstract 
Presenter:
Josiah D Couch
(University of Texas System)
Authors:
Elena Caceres
(University of Texas at Austin)
Shira Chapman
(Perimeter Institute)
Josiah D Couch
(University of Texas System)
Juan Pablo Hernandez
(Perimeter Institute)
Rob Myers
(Perimeter Institute)
Shan-Ming Ruan
(Perimeter Institute)
We seek to test the recent conjecture of Agón, Headrick, and Swingle that holographic subregion complexity according to 'complexity = action' is dual to the purification complexity of the dual mixed state. We test this indirectly by considering the ground state of a free scalar field theory regularized to a lattice and computing the purification complexity of the reduced state on a subset of the lattice sites. Even though this system is not holographic, the hope is that the divergence structure will be universal enough that we may meaningfully compare to the holographic results.
*This work was supported by the Perimeter Institute for Theoretical Physics, which is supported by the Government of Canada through the ISED, and by the Province of Ontario through the Ministry of Research, Innovation, and Science, by NSF grants PHY-1820712 and PHY-1620610, and by ERC starting grant 715656 GenGeoHol. SC is part of the DeltaITP consortium, which is funded by the Dutch Ministry of Education, Culture, and Science. RCM and JH are supported in part by funding from the NSERC. RCM is also supported by funding from the Simons Foundation through the ``It from Qubit'' collaboration and JH is supported by Ontario's Ministry of Advanced Education and Skills Development through a QEII-GSST Scholarship.
To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2018.TSF.P02.5
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