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Open Quantum Systems Decoherence
Quantum Simulation
A Monte Carlo Time-Dependent Variational Principle
arXiv
Authors: F. W. G. Transchel, A. Milsted, Tobias J. Osborne
Year
2014
Paper ID
46359
Status
Preprint
Abstract Read
~2 min
Abstract Words
78
Citations
N/A
Abstract
We generalize the Time-Dependent Variational Principle (TDVP) to dissipative systems using Monte Carlo methods, allowing the application of existing variational classes for pure states, such as Matrix Product States (MPS), to the simulation of Lindblad master equation dynamics. The key step is to use sampling to approximately solve the Fokker-Planck equation derived from the Lindblad generators. An important computational advantage of this method, compared to other variational approaches to mixed state dynamics, is that it is "embarrassingly parallel".
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- We generalize the Time-Dependent Variational Principle (TDVP) to dissipative systems using Monte Carlo methods, allowing the application of existing variational classes for...
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