Events Calendar
Encoding a qubit in a spin
Tuesday October 19, 2021
| 3:30 pm
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Presenter: | Jonathan Gross (Google Quantum AI) |
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| 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 | |
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