Extended Data Fig. 2: Single step update protocol of the time evolution with two-site operators. | Nature

Extended Data Fig. 2: Single step update protocol of the time evolution with two-site operators.

From: Prethermalization by random multipolar driving on a 78-qubit processor

Extended Data Fig. 2: Single step update protocol of the time evolution with two-site operators.

i1 ~ i4 and j1 ~ j4 are labels for the local physical bonds along the y-direction. The canonical tensors are labeled in yellow. ab, QR decomposition on each tensor to extract the physical bonds i4 and j4 into Ri(j) tensors. bc, Contraction of Ri(j) tensors together with the time-evolution operator. cd, We apply the singular value decomposition and keep the largest χ singular values. de, Then we absorb the singular values and vectors into Qi(j) to update tensors.

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