Qualification Type: | PhD |
---|---|
Location: | Newcastle upon Tyne |
Funding for: | UK Students, EU Students, International Students |
Funding amount: | £19,237 - please see advert |
Hours: | Full Time |
Placed On: | 24th April 2024 |
---|---|
Closes: | 17th May 2024 |
Reference: | MSP084 |
Award summary
100% fees covered, and a minimum tax-free annual living allowance of £19,237 (2024/25 UKRI rate).
Overview
Given a closed set K in R^d and a truncated multisequence of real numbers the TKMP (truncated K-moment problem) entails determining whether or not there exists a positive Borel measure supported on K, whose initial power moments are the given truncated multisequence. In this case, we say that the given multisequence has a K-representing measure. In general, the TKMP is intractable.
Turning now to physics, if we interpret the given multisequence as the observed outcomes of a set of experiments and K as reflecting the structure inherent to the physical system under investigation, the TKMP maps onto the question of whether the set of experimental outcomes can be derived from an underlying probability distribution. Since Bell, this question has been central to discussions on the meaning and interpretation of quantum theory because, whereas classical theories can couched in such probabilistic terms, quantum theory cannot.
In this project we will be investigating concrete solutions of the TKMP when K is a finite lattice and immediately using the mathematical solution to address Bell-type problems in Quantum Physics.
Number of awards: 1
Start date: 16 September 2024
Award duration: 3.5 years
Sponsor: EPSRC Doctoral Training Partnerships (DTP)
Supervisors: Dr David Kimsey
Eligibility criteria
You must have, or expect to gain, a minimum 2:1 Honours degree or international equivalent in a subject relevant to the proposed PhD project (inc. computing, mathematics, engineering etc.). Enthusiasm for research, the ability to think and work independently, excellent analytical skills and strong verbal and written communication skills are also essential requirements.
Home and international applicants (inc. EU) are welcome to apply and if successful will receive a full studentship. Applicants whose first language is not English require an IELTS score of 6.5 overall with a minimum of 5.5 in all sub-skills.
International applicants may require an ATAS (Academic Technology Approval Scheme) clearance certificate prior to obtaining their visa and to study on this programme.
How to apply
You must apply through the University’s Apply to Newcastle Portal
Once registered select ‘Create a Postgraduate Application’.
Use ‘Course Search’ to identify your programme of study:
You will then need to provide the following information in the ‘Further Details’ section:
You must submit one application per studentship, you cannot apply for multiple studentships on one application.
Contact details
Dr David Kimsey, School of Mathematics, Statistics and Physics
Type / Role:
Subject Area(s):
Location(s):