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Is there any Tensor Renormalization Group algorithm to find the stationary state of Lindblad equation? 


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Yes, there is a Tensor Renormalization Group (TRG) algorithm to find the stationary state of the Lindblad equation. The TRG algorithm is based on the Tensor Renormalization Group protocol and operates entirely at the level of fields. It has been applied to calculate the partition function of interacting quantum field theories in 2 dimensions, including cases with self-interactions. The algorithm captures the effect of interaction on entanglement and shows fast convergence with the bond dimension.^[Campos et al.] The Lindblad equation describes the time evolution of a density matrix of a quantum mechanical system, and stationary solutions are obtained by time-averaging the solution. An analytical expression for the steady states of the Lindblad equation has been provided using the quantum jump unraveling and the stationary probabilities of the corresponding discrete-time Markov chains.^[Fernengel and Drossel]

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The provided paper does not mention anything about finding the stationary state of the Lindblad equation.
The provided paper does not mention anything about a Tensor Renormalization Group algorithm for finding the stationary state of the Lindblad equation.
The provided paper does not mention the Tensor Renormalization Group algorithm for finding the stationary state of the Lindblad equation.
The paper does not mention anything about a Tensor Renormalization Group algorithm to find the stationary state of the Lindblad equation.
The paper does not mention anything about a Tensor Renormalization Group algorithm for finding the stationary state of the Lindblad equation.

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