Abstract

Error corrected quantum computers have the potential to change the way we solve computational problems. Quantum error correction involves repeated rounds of carefully scheduled gates to measure the stabilisers of the code. A set of scheduling rules are typically imposed on the the order of gates to ensure the circuit can be rearranged into an equivalent circuit that can be easily seen to measure the stabilisers. In this work, we ask what if we break these rules and instead use tangled schedules circuits. We find that tangling schedules can generate long-range entanglement not accessible using nearest neighbour two-qubit gates. Our tangled schedules provide a new tool for building quantum error correction circuits and we explore applications to design new architectures for fault-tolerant quantum computers. Notably, we show that for the widely used Pauli-based model of computation (achieved by lattice surgery) this access to longer range entanglement can reduce the device connectivity requirements, without compromising on circuit depth.

Personal information

György completed his PhD in Pure Mathematics in 2015 at the University of Szeged, Hungary. In his thesis he investigated problems from Hilbert Space Operator Theory. In 2015, he was awarded the “National Outstanding Researcher Award” for his research done during his PhD by the Hungarian National Excellence Program. During his postdoc years he became interested in Wigner’s theorem on quantum mechanical symmetry transformations, and he wrote several papers about generalizing this fundamental theorem. Through this work, he was gradually drawn towards the area of quantum physics. In 2017, he was awarded with the “JMAA Ames Award” for his solo-author paper as the best paper of the year published in the Journal of Mathematical Analysis and Applications. In 2018 he obtained a Leverhulme Trust Postdoctoral Fellowship which he held as PI for three years at the University of Reading, UK. After finishing this Leverhulme fellowship in 2021, he started his current position as Senior Quantum Scientist at Riverlane, Cambridge, UK. His main work now focuses on Quantum Error Correction and Fault-tolerant Quantum Computation

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