Boosted Imaginary Time Evolution of Matrix Product States
arxiv(2024)
摘要
In this work, we consider the imaginary time evolution of matrix product
states. We present a novel quantum-inspired classical method that, when
combined with time evolving block decimation (TEBD), is able to potentially
speed-up the convergence to a ground state compared to TEBD alone. Our method,
referred to as boosted imaginary time evolution, relies on the use of
reflections to boost to lower energy states. Interleaving TEBD steps with
boosts reduces the total number of TEBD steps and potentially the computational
cost required to imaginary time evolve a matrix product state to a ground
state. We give the mathematical details of the method followed by an
algorithmic implementation and finally some results for a simple test case.
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