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SUMMARY:Fermions and Gaussianity \; Resources and Simulability [Confirmed]
DTSTART:20250326T150000Z
DTEND:20250326T163000Z
DTSTAMP:20260520T102800Z
UID:indico-event-1101@events.perimeterinstitute.ca
DESCRIPTION:Speakers: Andrew Projansky (Dartmouth College)\n\nMatchgates a
 re a well studied class of quantum circuits tied to the time dynamics of F
 ree Fermion Hamiltonians. It is important to note however that Matchgates 
 specifically come from representing Free Fermions with the Jordan-Wigner e
 ncoding. When we represent our fermionic systems with other encodings besi
 des Jordan-Wigner\, we still are considering the time dynamics of Free Fer
 mion solvable Hamiltonians\, but we can introduce complexity in how we enc
 ode our fermionic information. This gives us a test ground for clarifying 
 what physical properties make time dynamics hard to simulate\, even when H
 amiltonians can be exactly diagonalized. In this talk I will discuss the t
 heory behind matchgates\, fermionic encodings\, and recent results in the 
 simulability of Clifford/matchgate hybrid circuits (arxiv:2312.08447\, arx
 iv:2410.10068). These results clarify resources for Free Fermions represen
 ted beyond the Jordan-Wigner encoding\, as well as an overall perspective 
 of what it means for a state to be Gaussian.\n\nhttps://events.perimeterin
 stitute.ca/event/1101/
LOCATION:PI/4-400 - Space Room (Perimeter Institute for Theoretical Physic
 s)
URL:https://events.perimeterinstitute.ca/event/1101/
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