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Quantum memristors: a new approach to neuromorphic computinga Lomonosov Moscow State University, Vorobevy Gory, Moscow, 119991, Russian Federation b Lebedev Physical Institute, Russian Academy of Sciences, Leninsky prosp. 53, Moscow, 119991, Russian Federation c National Research Centre ‘Kurchatov Institute’, pl. akad. Kurchatova 1, Moscow, 123182, Russian Federation d International Center for Quantum Optics and Quantum Technologies (the Russian Quantum Center), Skolkovo Innovation Center, Bolshoi Boulevard, Building 30, Block 1, 3rd floor, sectors G3, G7, Moscow, Moscow Region, 121205, Russian Federation We present a review on quantum memristors, which define a new direction for neuromorphic applications. We discuss the general methodology and concept of constructing a quantum memristor, as well as the possibility of its implementation on photonic platforms, superconducting systems, and ultracold trapped ions. The latter platform is being actively developed at the Lebedev Physical Institute for conducting quantum computations and for building a high-performance quantum computer; it has also proven its worth in creating optical clocks.
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