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Quantum Memristors with Quantum Computers
Yumin Guo, F. Albarr'an-Arriagada, H. Alaeian, E. Solano, G. A. Barrios·December 29, 2021·DOI: 10.1103/PhysRevApplied.18.024082
Physics
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Abstract
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.