COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

## Two results on the stabiliser formalismAdd to your list(s) Download to your calendar using vCal - Nadish de Silva
- Tuesday 01 August 2023, 14:15-15:15
- MR14.
If you have a question about this talk, please contact Sergii Strelchuk. I will sketch two recent results to do with i) stabiliser state geometry and ii) efficient gate teleporatation of qudit gates. i) Arbitrary quantum states admit many stabiliser decompositions: ways of being expressed as asuperposition of stabiliser states. Understanding of the structure of stabiliser decompositions has applications in simulating and verifying near-term quantum computers. We introduce and study the vector space of linear dependencies of n-qubit stabiliser states. These spaces have canonical bases containing vectors whose size grows exponentially in n. We construct elegant bases of dependencies of constant size three. ii) Third-level gates are those that can be most easily implemented fault-tolerantly using magic states. Those that are semi-Clifford can be implemented with far more efficient use of resources. We prove that every third-level gate of up to two qudits is semi-Clifford. Our proof introduces techniques from algebraic geometry which can be applied more widely within quantum information. This talk is part of the CQIF Seminar series. ## This talk is included in these lists:- All CMS events
- CMS Events
- CQIF Seminar
- DAMTP info aggregator
- Hanchen DaDaDash
- Interested Talks
- MR14
- bld31
Note that ex-directory lists are not shown. |
## Other listsSusan Gathercole SBR Graduate Talks sigma## Other talksSelf-dual gravity in a curved background Free Afternoon Welcome & Introduction The role of affective relevance in emotion, attention, and memory Fokker-Planck-based Inverse Reinforcement Learning --- A Physics-Constrained Approach to Markov Decision Process Models of Cell Dynamics MMV OfB |