Mathematical Physics in Quantum Technology: From Finite to Infinite Dimensions

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Mathematical Physics in Quantum Technology: From Finite to Infinite Dimensions

 22 - 26 May 2023

ICMS, Bayes Centre, Edinburgh

Scientific Organiser

  • Daniel Burgarth, Macquarie University
  • Nilanjana Datta, University of Cambridge
  • Robin Hillier, Lancaster University


Quantum technology is a vibrant discipline of research with numerous applications in all areas of science. The particular interest for this workshop lay in the area of quantum information and the control of quantum systems. While traditionally these disciplines have worked with finite-dimensional mathematical models for the sake of simplicity and since it has appeared sufficient, ever-growing physical systems and progress in experimental realisations make it natural to ask what happens in infinite dimensions: in the end, for large systems, infinite-dimensional approximations can often simplify the description of the finite-dimensional system; moreover, many systems are simply not finite-dimensional and hence a reliable mathematical description is needed. In this research workshop we looked at a number of current research themes in the wider area of quantum information such as robust quantum control, long-term stability of quantum systems, entanglement breaking channels and the divisibility of channels. By gathering experts from these areas, this workshop stimulated discussions and cross-pollination, to look at common structures and frameworks, and to study the transition from finite to infinite dimensions and convergence properties in all of them. A deeper analytical and mathematical understanding is expected to prove crucial in descriptions of experiments in the near future.  As well as a programme of talks there were dedicated periods of time for private discussions as well as moderated discussions in a bigger group in order to tackle some of the presented problems.

See link to scientific organisers' google website

Talk Recordings


MONDAY 22 MAY 2023
Registration & Coffee
Welcome and Housekeeping
Topic 3: Entanglement
Chair: Mizanur Rahaman
Andreas Winter, Universitat Autònoma de Barcelona Overview talk - Quantum entanglement
Vern Paulsen, University of Waterloo Positive Maps and Entanglement in Real Hilbert Spaces
Li Gao, University of Houston Tight Modified Log-Sobolev inequality for quantum Markov semigroups
Chair: Alexander Muller-Hermes
Satvik Singh, University of Cambridge Diagonal unitary covariant quantum channels
Ludovico Lami, University of Amsterdam Exact solution for the quantum and private capacities of bosonic dephasing channels
Refreshments & Private Discussion
Dagmar Bruss, University Duesseldorf, Institute for Theoretical Physics Measurement incompatibility: A new measure and its revelations
Group discussion 3 , Lead by Nilanjana Datta
Welcome Reception, hosted at ICMS
Topic 4: Divisibility
Chair: Robin Hillier
Dariusz Chruscinski, Nicolaus Copernicus university Overview talk - Quantum processes: divisibility, Markovianity and classicality
Toby Cubitt, UCL Dissipative State Preparation and the Dissipative Quantum Eigensolver
Francesco Buscemi, Department of Mathematical Informatics, Nagoya University Various types of divisibility and the role they play in statistical mechanics
Chair: Jukka Kiukas
Madalin Guta, University of Nottingham Optimal estimation of quantum Markov chains
Susana Huelga, Ulm University Thermal Markovian processes: from resource theories to molecular switches
Refreshments & Private Discussion
Group discussion 4, Lead by Robin Hillier
Public Lecture By Reinhard Werner at G.03 The end of the classical world: The Physics Nobel prize 2022
Topic 2: qKAM and adiabaticity
Chair: Nilanjana Datta
Kazuya Yuasa, Waseda University, Tokyo Overview talk - Eternal Adiabaticity and Long-Term Stability of Perturbed Quantum Symmetries
Marilena Ligabò, Università degli Studi di Bari Stability of the gapless pure point spectrum of self-adjoint operators
Robert Salzmann, University of Cambridge Quantum Zeno effect and strong damping for infinite dimensional open quantum systems
Simon Becker, ETH Zurich Quasiperiodic concepts in magic moire materials
Workshop Dinner
Topic 1: Control and DD
Chair: Daniel Burgarth
Paolo Facchi, University of Bari Overview Talk - Quantum control and dynamical decoupling
Christian Arenz, Arizona State University Speeding up quantum dynamics: from finite to infinite dimensional systems and back
Gunther Dirr, Institute for Mathematics, University of Wuerzburg Are infinite-dimensional closed quantum systems generically controllable?
Chair: Rupert Levene
Sophie Shermer, Swansea University Robust control of quantum systems
Alexander Hahn, Macquarie University State-dependent Trotter bounds
Refreshments & Private Discussion
Nicholas LaRacuente, The University of Chicago Timescale and Regime Separations in Quantum Dynamics
Group discussion 1&2 , Lead by Daniel Burgarth
Topic 5: Operator theory
Marius Junge, University of Illinois at Urbana-Champaign Complexity and dynamics in finite and infinite dimension
Martin Lindsay, Lancaster University Quantum stochastic semigroups/cocycles/evolutions in discrete and continuous time
B.V. Rajarama Bhat, Indian Statistical Institute, Bangalore Peripheral Poisson boundary
Reinhard Werner, Leibniz Universität Hannover Inductive limits of quantum systems, equilibrium states and dynamics
End of Workshop