Welcome

On these pages you find information about my past and present research activities in mathematical physics. Almost all of my work deals with quantum mechanics, a theory which appears to remain `forever young.'

My academic home is the Department of Mathematics at the University of York, England, where I research and teach as a Reader in Mathematical Physics.

Research Interests

I am interested in phenomena, concepts, and applications of non-relativistic quantum theory. In recent years, I have been publishing in quantum information and PT symmetry.

Earlier on, I have contributed to quantum state reconstruction for spin systems and to quantum chaos, more specifically to the question of defining integrability for quantum systems.

Collaborations

Michael Wilkinson and I study the properties of mutually unbiased bases in spaces of infinite dimensions, that is, mutually unbiased bases for continuous variables. I also collaborate with Ingemar Bengtsson in Stockholm, Sweden, on mutually unbiased bases in finite-dimensional spaces.

With Hans R Jauslin from the Université de Bourgogne, France, I share a longstanding interest in quantum systems exhibiting rigorously chaotic dynamics.

If Anatole Amiet from the Université de Neuchâtel, Switzerland, was still alive, we would continue to write papers on state reconstruction and Moyal-type representations of spin systems.

Stephen Brierley recently finished his PhD on mutually unbiased bases in low dimensions, and we continue to work on related problems.

PhD Students

Marcin Zwierz investigates the potential of atomic ensembles to implement the quantal processing of information. His post with Pieter Kok at the University of Sheffield is funded by a White-Rose Network Studentship, and I am Marcin's co-supervisor.