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Grasshopper jumping on a sphere gives new quantum insights

Bloch sphere with grasshopper Dr Dmitry Chistikov and Professor Mike Paterson, together with physicists Olga Goulko (Boise State University) and Adrian Kent (Cambridge), have published an interdisciplinary paper Globe-hopping, solving a probabilistic puzzle on the sphere that has applications to quantum information theory.

Suppose a lawn must cover exactly half the area of a sphere. A grasshopper starts from a random position on the lawn and jumps a fixed distance in a random direction. What shape of lawn maximizes the chance that the grasshopper lands back on the lawn? A natural guess would be that a hemispherical lawn is best. It turns out, however, that this is nearly never the case — there are only a few exceptional jump sizes.

This work involving spherical geometry, probability theory, basic number theory, and theoretical physics appears in the Proceedings of the Royal Society A and shows, apart from concern for the well-being of grasshoppers, that there are previously unknown types of Bell inequalities. The Bell inequality, devised by physicist John Stewart Bell in 1964, demonstrated that no combination of classical theories with Einstein's special relativity is able to explain the predictions (and later actual experimental observations) of quantum theory.

A University press release can be found here.

Tue 11 Aug 2020, 11:51 | Tags: People Research Theory and Foundations

Many congratulations to our new graduates!

DCS with fountainsCongratulations to our 3rd and 4th year students, who are receiving their results today!

Here is a video for the occasion from the head of department.

Well done, all the best for your careers, and let us stay in touch!

Wed 22 Jul 2020, 10:58 | Tags: Undergraduate

WATE PGR commendation for Alexander Noll

Alexander NollWe are very happy to report that Alexander Noll, PhD student at the department’s Institute for the Science of Cities, has been rewarded with the 2019/2020 Warwick Award for Teaching Excellence for Postgraduates who Teach. As a commendee, the recognition of his teaching comes in addition to a £200 teaching endowment. Alexander, who comes from an interdisciplinary academic background and has been teaching on several undergraduate modules of our department as well as the Department of Sociology, commented:

The thought that I was able to contribute positively to somebody’s learning and their time at Warwick in general sparks great joy. It is a great honour to be recognised for my tiny contribution to a community of teachers who work hard on creating a positive learning environment.

WATE seek to recognise outstanding teaching and support of learning across the University. Since 2003, the Awards have helped showcase innovation and commitment from across Warwick's teaching community. Nominations can be made by both students and staff and a panel of judges then creates a shortlist of up to ten nominees. Based on additional personal statements, 10 winners are selected from the shortlist, split into five awards and five commendations.


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