Figure 3
From: Practical overview of image classification with tensor-network quantum circuits
A quantum circuit and its corresponding tensor network. In the circuit-based picture, some initial quantum state \(|\psi \rangle\) is evolved with a unitary gate U and followed by a measurement of the observable O on the top qubit (left). This corresponds to the contraction of a tensor network and is similar to a trace operation, as given in Eq. 3 (right). While other tensor network representations are possible, we choose a tensor network with bond dimension two, such that the wires in the circuit correspond to the tensor network legs.
