Quantum circuit model for photonic quantum memristors and its optimization

The photonic quantum memristor (PQM) can be realized through a dynamic feedback mechanism of tunable beam splitters, where the reflectivity is dynamically adjusted based on measurement outcomes of outgoing light beams, thereby achieving memristive quantum behavior in non-Markovian quantum environments. In this work, based on the Mach-Zehnder Interferometer (MZI) architecture, we propose a novel PQM scheme by redefining the phase shift as the state variable. Secondly, by establishing the correspondence between the photon number expectation value and the quantum bit, we designed a quantum circuit model of the PQM and conduct numerical simulation verification of this memristive quantum system. Finally, by improving the structure of the quantum circuit, we propose a memristive quantum circuit with adjustable frequency and amplitude.