Fig. 2: The evolution circuit of the QVM method.
From: Simulating fluid vortex interactions on a superconducting quantum processor
The circuit consists of np spatial qubits encoding the spatial state of vortex particles and nt temporal qubits encoding the temporal information. The spatial qubits are initialized via the “State Prep." module, while the temporal qubits are prepared in a uniform superposition state using Hadamard gates. The quantum parallel evolution illustrated in Fig. 1f is achieved through sequentially applying the controlled-Fk operations to the system, with the temporal and spatial qubits being the control and target, respectively.
