Friendly reminder - On Sept 22, Friday 10:00 am - 11:30 am ET.
Let us welcome Margarita.
On Fri, Sep 15, 2023 at 8:00 PM Juven <jw(a)cmsa.fas.harvard.edu> wrote:
Please circulate!
Quantum Matter in Mathematics and Physics (QMMP) 2023:
https://cmsa.fas.harvard.edu/event_category/quantum-matter-seminar/
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This seminar will be in person!
*Time: Sept 22, Friday 10:00 am - 11:30 am ET *
*Location: Harvard CMSA G10*
Zoom:
https://harvard.zoom.us/j/977347126
Password: cmsa
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Margarita Davydova (MIT)
*Title: Floquet codes, automorphisms, and quantum computation*
*Abstract:*
In this talk, I will introduce a new kind of measurement-based quantum
computation inspired by Floquet codes. In this model, the quantum logical
gates are implemented by short sequences of low-weight measurements which
simultaneously encode logical information and enable error correction. We
introduce a new class of quantum error-correcting codes generalizing
Floquet codes that achieve this, which we call dynamic automorphism
(DA) codes.
As in Floquet codes, the instantaneous codespace of a DA code at any fixed
point in time is that of a topological code. In this case, the quantum
computation can be viewed as a sequence of time-like domain walls
implementing automorphisms of the topological order, which can be
understood in terms of reversible anyon condensation paths in a particular
parent model. This talk will introduce all of these concepts as well as
provide a new perspective for thinking about Floquet codes.
The explicit examples that we construct, which we call DA color codes, can
implement the full Clifford group of logical gates in 2+1d by two- and,
rarely three-body measurements. Using adaptive two-body measurements, we
can achieve a non-Clifford gate in 3+1d, making the first step towards
universal quantum computation in this model.
The talk is based on recent work with Nathanan Tantivasadakarn, Shankar
Balasubramanian, and David Aasen [arxiv: 2307.10353].
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