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arXiv · 2112.14660

Quantum Memristors with Quantum Computers

Y. -M. Guo·F. Albarrán-Arriagada·H. Alaeian·E. Solano·G. Alvarado Barrios
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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.

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Y. -M. Guo, F. Albarrán-Arriagada, H. Alaeian, E. Solano, G. Alvarado Barrios. 2021-12-29. Quantum Memristors with Quantum Computers. https://doi.org/10.1103/physrevapplied.18.024082

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