Tensor networks

…and non-invertible symmetries, tensor networks and quantum many-body systems. The first selection considers applications arriving by 30 November 2026 (JST); recruitment remains open until filled. 1.A one-year fixed-term employment contract, renewable based on evaluation, up to March 31, 2030. 2.RIKEN may adjust the above maximum period of renewability based on a) the employee’s abilities, workload at the time of contract

…It is known that tensor networks are useful tools to study mathematical structures appearing in these topics. We present recent understanding of them from a viewpoint of operator algebras. No knowledge on operator algebras are assumed.

Tensor networks help describe the structures underlying two-dimensional topological phases and topological quantum computation. This talk develops an operator-algebra perspective on those connections and presents recent mathematical understanding of topological order. The introduction is designed to be accessible without prior training in operator algebras.

…with machine learning, SAT methods and tensor networks extending code design. The talk also presents an experimentally realised universal fault-tolerant gate set and the use of learning to optimise its bottlenecks, then considers future integration of large quantum processors and AI for scientific computation.

Xiehang Yu investigates complexity in quantum many-body dynamics using solvable circuits, tensor networks and non-equilibrium field theory. One direction develops mixed-state deep thermalisation, extending ordinary thermalisation to ensembles of conditional mixed states. Another establishes Lieb–Robinson bounds for non-Markovian open many-body systems and determines the digital-simulation resources needed to reproduce their dynamics.