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Weil, Ryohei

University of British Columbia

Recent theory has clarified the computational power of finite symmetric short-range entangled spin chains as resources for measurement-based quantum computation and the most efficient regimes of computation therein. In this work, we seek to experimentally demonstrate these advancements on IBM's superconducting quantum processor. We variationally prepare resource states with tunable computational order and experimentally confirm the effects of logical decoherence on the encoded quantum information. We then demonstrate the equivalence of computational order and string order, and confirm the scaling relation of the logical decoherence with system size. We then construct a family of states with length scale to study the effects of correlated logical operations. We attempt to demonstrate that the "counterintuitive regime" of computation is the most efficient, i.e. that the densest possible packing of symmetry-breaking measurements minimizes logical decoherence. Our results are inconclusive for this last experiment. Our work demonstrates that noisy intermediate-scale quantum devices are capable of exploring novel phenomenology of measurement-based quantum computation beyond the cluster state.

Text

2024-08-01

Attribution-NonCommercial-NoDerivatives 4.0 International

http://hdl.handle.net/2429/88841

Physics

University of British Columbia

UBCV

http://creativecommons.org/licenses/by-nc-nd/4.0/