# Online: Seminar, Bill Helton (UC San Diego), Noncommutative Real Algebraic Geometry and Quantum Games #### calendar\_today Date and Time **March 23, 2021** 10:00AM - 10:00AM EDT #### pin\_drop Location **Zoom** ![Bill Helton](/sites/g/files/omnuum6611/files/styles/hwp_1_1__720x720_scale/public/mathpicture/files/helton.png?itok=uqw-ARY_) **Location:** Zoom **Time:** Tuesday, March 23, 2021, 10:00 AM (Eastern US), 14:00 (UK/Eire), 15:00 (Central Europe), 22:00 (China) **Title:** Noncommutative Real Algebraic Geometry and Quantum Games **Abstract:** The last two decades produced a substantial noncommutative (in the free algebra) real and complex algebraic geometry. The aim of the subject is to develop a systematic theory of equations and inequalities for noncommutative polynomials of operator variables. The talk will focus on a few topics which bear on quantum games, then shift attention to quantum strategies for XOR games. Two and three player XOR games historically played a major role, with the Bell inequalities an instance of 2XOR. A family of 3XOR games was the first to illustrate unbounded advantage of quantum strategies. Recent results proved with Adam Bene Watts show that one can decide in polynomial time, whether or not a (perfect) solution exists to 3XOR. We do this with a constructive proof: if a perfect quantum strategy exists, it is achievable in 8 dimensions; but the quantum advantage over a classical strategy is bounded. **Additional Ways to Join** Join by telephone (use any number to dial in) +1 929 436 2866 +1 312 626 6799 +1 669 900 6833 400 669 9381 China Toll-free International numbers available: [https://harvar](https://harvard.zoom.us/u/aclg6kOggb)[d.zoom.us/u/aclg6kOggb](https://harvard.zoom.us/u/aclg6kOggb) One tap mobile: +19294362866,,779283357# US (New York) Join by SIP conference room system Meeting ID: 779 283 357 <779283357@zoomcrc.com> **Attachments** --- Attachments- [ picture\_as\_pdf Flyer.pdf ](/sites/g/files/omnuum6611/files/mathpicture/files/helton_seminar_mar_23_2021.pdf) --- Share on:- [ Facebook ](#) - [ Twitter ](#) - [ Linkedin ](#) Save: [ Add to calendar calendar\_today ](https://mathpicture.fas.harvard.edu/node/1577493/event-feed.ics) Copy link link