Quantum Memristors with Quantum Computers
We propose the encoding of memristive quantum dynamics on a digital quantum
computer. Using a set of auxiliary qubits, we simulate an effective
non-Markovian environment inspired by a collisional model, reproducing
memristive features between expectation values of different operators in a
single qubit. We numerically test our proposal in an IBM quantum simulator with
32 qubits, obtaining the pinched hysteresis curve that is characteristic of a
quantum memristor. Furthermore, we extend our method to the case of two coupled
quantum memristors, opening the door to the study of neuromorphic quantum
computing in the NISQ era.
Y. -M. Guo F. Albarrán-Arriagada H. Alaeian E. Solano G. Alvarado Barrios