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Tuesday 24 March 2026, 11:00-11:50
Local Jordan-Wigner transformations and topological sectors on the torus
- đ¤ Speaker: Oliver O'Brien, Centre for Quantum Information and Foundations, Department of Applied Maths and Theoretical Physics, University of Cambridge
- đ Date & Time: Tuesday 24 March 2026, 11:00 - 11:50
- đ Venue: Computer Laboratory, William Gates Building, Room FW26
Abstract
Note the room change to room FW26 .
This paper is published in Physical Review B at https://journals.aps.org/prb/abstract/10.1103/PhysRevB.111.115126
Abstract: We present a locality preserving unitary mapping from fermions to qubits on a two-dimensional torus while accounting for the mapping of topological sectors. Extending the work of Shukla et al. [Phys. Rev. B 101 , 155105 (2020)], an explicit intertwiner is constructed in the form of a projected entangled pair operator. By encoding the information about the charge sectors (and if applicable the twisted boundary conditions) in ancillary qubit(s), the intertwiner becomes a unitary operator which exchanges boundary conditions and charge sectors.
Series This talk is part of the Quantum Computer Architectures and Theory Seminar series.
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