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Gauging Defects in Quantum Spin Systems
Jacob C. Bridgeman, Alexander Hahn, Tobias J. Osborne +1
The goal of this work is to build a dynamical theory of defects for quantum spin systems. A kinematic theory for an indefinite number of defects is first introduced exploiting dist…
The F-Symbols for the H3 Fusion Category
Tobias J. Osborne, Deniz E. Stiegemann, Ramona Wolf
We present a solution for the F-symbols of the H3 fusion category, which is Morita equivalent to the even parts of the Haagerup subfactor. This solution has been computed by solvin…
Bounded entanglement entropy in the quantum Ising model
Geoffrey Grimmett, Tobias Osborne, Petra Scudo
A rigorous proof is presented of the boundedness of the entanglement entropy of a block of spins for the ground state of the one-dimensional quantum Ising model with sufficiently s…
Tensor-Network Approach for Quantum Metrology in Many-Body Quantum Systems
Krzysztof Chabuda, Jacek Dziarmaga, Tobias J. Osborne +1
Identification of the optimal quantum metrological protocols in realistic many particle quantum models is in general a challenge that cannot be efficiently addressed by the state-o…
Quantum fields for unitary representations of Thompson's groups F and T
Tobias J. Osborne, Deniz E. Stiegemann
We describe how to define observables analogous to quantum fields for the semicontinuous limit recently introduced by Jones in the study of unitary representations of Thompson's gr…
Efficient Learning for Deep Quantum Neural Networks
Kerstin Beer, Dmytro Bondarenko, Terry Farrelly +3
Neural networks enjoy widespread success in both research and industry and, with the imminent advent of quantum technology, it is now a crucial challenge to design quantum neural n…