##### Department of Mathematics,

University of California San Diego

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### Math 295 - Mathematics Colloquium

## Michael Freedman

#### Station Q, Microsoft Research, and UC Santa Barbara

## Quantum Computing via Octonions

##### Abstract:

Quantum computing can be effected by a sequence of projective measurements. Such strategies are called, ``measurement only''. The key geometric concept which ensures that system information does not leak to the environment during measurement is ``equiangularity''. I will explain what the Octonions are and how they provide the largest families of equiangular subspaces of a Hilbert space.

Host: Bennett Chow

### October 3, 2019

### 4:00 PM

### AP&M 6402

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