Jump To Date
View By Semester
View By Series
Add An Event

Center for Astrophysics Research and Technologies Seminar Series Information


Events Calendar

Encoding a qubit in a spin

Tuesday October 19, 2021
3:30 pm

 Presenter:  Jonathan Gross (Google Quantum AI)
 Series:  CQuIC Seminars
 Abstract:  I present a new approach for designing quantum error-correcting codes that guarantees a physically natural implementation of Clifford operations. Inspired by the scheme put forward by Gottesman, Kitaev, and Preskill for encoding a qubit in an oscillator, in which Clifford operations may be performed via Gaussian unitaries, this approach yields new schemes for encoding a qubit in a large spin in which single-qubit Clifford operations may be performed via spatial rotations. I construct all possible examples of such codes, provide universal-gate-set implementations using Hamiltonians that are at most quadratic in angular-momentum operators, and derive criteria for when these codes exactly correct physically relevant noise channels to lowest order. This technique yields a minimal eight-dimensional code in spin-7/2 that exactly corrects these errors, analogous to a perfect block code.
 Host:  Carlton Caves
 Location:  PAIS-3205, PAIS

Disability Notice If you need an auxiliary aid or service to attend any Department of Physics and Astronomy event, please contact the department (phone: 505 277-2616; email: physics@unm.edu) as far in advance as possible to ensure you are accommodated.