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SUMMARY:Computing real time correlation functions on a hybrid classical/qu
antum computer
DTSTART;VALUE=DATE-TIME:20191105T064000Z
DTEND;VALUE=DATE-TIME:20191105T070000Z
DTSTAMP;VALUE=DATE-TIME:20200223T084732Z
UID:indico-contribution-3535880@indico.cern.ch
DESCRIPTION:Speakers: Niklas Mueller (Brookhaven National Laboratory)\nNuc
lear structure functions and parton Wigner distributions of protons and nu
clei are principal components of QCD phenomenology. Their first principle
computation is an outstanding problem in QCD\, because they involve non-pe
rturbative nucleon/nuclear matrix elements of electromagnetic currents tha
t are light-like separated in Minkowskian spacetime. Real-time correlation
functions are a difficult problem for lattice computations\, which are on
ly feasible in Euclidean space time. To overcome restrictions of classica
l computing\, we outline a strategy to compute nuclear structure functions
in the high energy Regge limit of QCD using a hybrid quantum computer [1]
. Our approach takes advantage of the representation of the fermion determ
inant in the QCD path integral as a quantum mechanical path integral over
0+1-dimensional fermionic and bosonic world-lines in background gauge fiel
ds [2]. While extremely challenging in general\, the problem simplifies i
n the Regge limit\, where the interaction of the world-lines with gauge fi
elds is strongly localized in proper time and the corresponding quantum ci
rcuits can be written down. As a proof principle\, we employ the Color Gl
ass Condensate effective theory of high energy QCD to construct the algori
thm for a first straightforward application of the framework\, specificall
y\, the problem of computing the well-known dipole model result for the st
ructure function $F_2$ [3]. We outline how this computation can be systema
tically scaled up in complexity and extended in scope to other real-time c
orrelation functions\, for example to describe non-equilibrium transport o
f quarks and gluons in a Quark-Gluon-Plasma\, where the restrictions of eu
clidean lattice computations are evident.\n\n[1] N. Mueller\, A. Tarasov\,
R. Venugopalan\, in preparation\n[2] N. Mueller\, R. Venugopalan\, Phys.R
ev. D99 (2019) no.5\, 056003\n[3] A. Tarasov\, R. Venugopalan\, arXiv:1903
.11624 [hep-ph]\n\nhttps://indico.cern.ch/event/792436/contributions/35358
80/
LOCATION:Wanda Reign Wuhan Hotel HongKong Room
URL:https://indico.cern.ch/event/792436/contributions/3535880/
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