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X-FROM-URL:https://eom.sdu.dk/events/ical/7322a621-604c-4e81-96d3-64ef6c6a
 6c67
X-WR-CALNAME:QM Research Seminar: Path-integral perspective on fault-toler
 ant topological quantum computation – from circuits to chomology
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TZID:Europe/Copenhagen
X-LIC-LOCATION:Europe/Copenhagen
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DTSTAMP:20260624T153711Z
DTSTART:20261028T030000
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DTSTART:20260325T020000
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DESCRIPTION:[b]Speaker: Julio C. Magdalena de la Fuente [/b](Freie Univers
 ität Berlin).\n\n[b]Abstract: [/b]\nTopological quantum error correction 
 encodes quantum information in the ground space of a topologically ordere
 d lattice system or in the fusion space of topological defects. In this t
 alk I will focus on the former. To use such codes for reliable quantum co
 mputation\, one must design low-overhead circuits that protect and manipu
 late the encoded information in a fault-tolerant way.I will start with pr
 esenting simple protocols based on two-dimensional topological codes that
  are composed of 2D local gates. Representing these protocols as tensor n
 etworks local in a 3D spacetime lattice leads to a useful viewpoint. We i
 dentify a topological QEC circuit with an imaginary-time topological path
  integral of a topological gauge theory. Within this picture\, both physi
 cal errors and non-trivial measurement outcomes appear as certain defects
  in the path integral and their combinatorial structure defines the assoc
 iated classical decoding problem.I will go through the construction of lo
 gically non-trivial fault-tolerant gates using topological boundaries and
  domain walls between topological phases. In order to perform universal c
 omputation a non-Abelian state must be stabilized during the computation.
  The path-integral perspective allows to calculate the logical action and
  extract the resulting causality constraints on the classical decoder tha
 t is needed to make the protocols resilient to arbitrary errors. It also 
 provides an efficient way to simulate the success of a given decoding str
 ategy using Monte-Carlo sampling based on third-order cohomology invarian
 ts of the underlying spacetime complex. I want to introduce the necessary
  ingredients to construct and analyze such QEC protocols for their perfor
 mance and argue about their reliable implementation in the presence of er
 rors.
DTEND:20260506T120000Z
DTSTAMP:20260624T153711Z
DTSTART:20260506T110000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:QM Research Seminar: Path-integral perspective on fault-tolerant t
 opological quantum computation – from circuits to chomology
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