On Thu, Dec 14, 2023 at 10:45 AM Gallagher, Claire M. <
cgallagher(a)fas.harvard.edu> wrote:
Margarita Davydova Talk - (HQI Quantum Fest 2023)
Today. 1pm-1:30pm via Zoom. Please see below for the log-in information.
*Title: *Floquet codes, automorphisms, and quantum computation
*Abstract: *
In my talk, I will introduce our recent generalizations of Floquet codes,
which are a new kind of quantum error-correcting codes defined by periodic
measurement sequences. In particular, we propose a new
kind of measurement-based quantum computation inspired by these codes. In
this model, the quantum logical gates are implemented by short
sequences of low-weight (namely, two- and rarely, three-qubit) measurements
which simultaneously encode logical information and enable error
correction.
Our model for quantum computation can be viewed as a nontrivial
dynamics of quantum information that is both induced and protected by the
same set of measurements. We introduce a new class of quantum
error-correcting codes which we call dynamic automorphism codes. We
construct explicit examples, called dynamic automorphism color codes, that
can implement the full Clifford group in 2+1d and 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 [PRX Quantum 4, 020341 (2023)]; [arxiv:
2307.10353].
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*Claire M. Gallagher*
Staff Assistant III
Harvard Quantum Initiative
33 Oxford Street, MD 351
Cambridge, MA 02138
P. (617) 496-2361
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