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arXiv · 2206.03053

An Amplitude-Based Implementation of the Unit Step Function on a Quantum Computer

Jonas Koppe·Mark-Oliver Wolf
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Abstract

Modelling non-linear activation functions on quantum computers is vital for quantum neurons employed in fully quantum neural networks, however, remains a challenging task. We introduce an amplitude-based implementation for approximating non-linearity in the form of the unit step function on a quantum computer. Our approach expands upon repeat-until-success protocols, suggesting a modification that requires a single measurement only. We describe two distinct circuit types which receive their input either directly from a classical computer, or as a quantum state when embedded in a more advanced quantum algorithm. All quantum circuits are theoretically evaluated using numerical simulation and executed on Noisy Intermediate-Scale Quantum hardware. We demonstrate that reliable experimental data with high precision can be obtained from our quantum circuits involving up to 8 qubits, and up to 25 CX-gate applications, enabled by state-of-the-art hardware-optimization techniques and measurement error mitigation.

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Jonas Koppe, Mark-Oliver Wolf. 2022-06-07. An Amplitude-Based Implementation of the Unit Step Function on a Quantum Computer. https://doi.org/10.1103/physreva.107.022606

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