Many problems in quantum computing can be phrased in the language of tensor networks, which describe quantum circuits exactly. Our tools are formed around several mathematical breakthroughs starting in 2025 in the field of tensor networks. The underlying methods are currently filed for a UK patent.
Our resulting algorithms provide upper and lower bounds on the computational complexity of classically simulating quantum circuits and distributing quantum circuits between different quantum/classical processors while minimising their communication overhead. For similar, earlier work, see Wahl & Strelchuk, PRL 131, 180601 (2023).
Dr Thorsten Wahl
Former Postdoctoral Research Associate, University of Cambridge.
Prof. Sergii Strelchuk
Associate Professor, University of Oxford.