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Open Quantum Systems Decoherence
Quantum Simulation
Stoquastic ground states are classical thermal distributions
arXiv
Authors: Robbie King, Sergii Strelchuk
Year
2020
Paper ID
19229
Status
Preprint
Abstract Read
~2 min
Abstract Words
78
Citations
N/A
Abstract
We study the structure of the ground states of local stoquastic Hamiltonians and show that under mild assumptions the following distributions can efficiently approximate one another: (a) distributions arising from ground states of stoquastic Hamiltonians, (b) distributions arising from ground states of stoquastic frustration-free Hamiltonians, (c) Gibbs distributions of local classical Hamiltonian, and (d) distributions represented by real-valued Deep Boltzmann machines. In addition, we highlight regimes where it is possible to efficiently classically sample from the above distributions.
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- We study the structure of the ground states of local stoquastic Hamiltonians and show that under mild assumptions the following distributions can efficiently approximate one...
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