Fig. 2: Tensor network diagrams depicting a matrix product state in canonical form. | npj Quantum Information

Fig. 2: Tensor network diagrams depicting a matrix product state in canonical form.

From: A quantum eigenvalue solver based on tensor networks

Fig. 2: Tensor network diagrams depicting a matrix product state in canonical form.

The black tensor denotes the canonical center in each case. The arrows indicate contraction (a.k.a. `bubbling') of the highlighted tensors. a The canonical center (diamond-shaped tensor) is a diagonal matrix of singular values corresponding to the Schmidt decomposition over partitions A (top) and B (bottom) as in Eq. (4). b The canonical center is contracted into the single-site tensor at site p (in A for this example). c The canonical center is contracted into the two-site tensor at sites p and p + 1.

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