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Trapped Ion Quantum Computing
Efficient quantum Gibbs sampling of stabilizer codes using hybrid computation
arXiv
Authors: Ivan H. C. Shum, Angela Capel
Year
2025
Paper ID
17163
Status
Preprint
Abstract Read
~2 min
Abstract Words
98
Citations
N/A
Abstract
We present hybrid Gibbs sampling algorithms for the stabilizer code Hamiltonians of the rotated surface code and the toric code with only local quantum algorithms, using sim L/2 quantum circuit depth to prepare the Gibbs state of the rotated surface code Hamiltonian, and L quantum circuit depth to prepare the Gibbs state of the toric code Hamiltonian, being L the side of the side of the square lattice. We further show that if we allow for non-local gates, the Gibbs state of the periodic 1D Ising model can be prepared in logarithmic depth and linearly many simultaneous measurements.
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- We present hybrid Gibbs sampling algorithms for the stabilizer code Hamiltonians of the rotated surface code and the toric code with only local quantum algorithms, using sim...
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