References & Citations
Quantum Physics
Title: An Amplitude-Based Implementation of the Unit Step Function on a Quantum Computer
(Submitted on 7 Jun 2022 (v1), last revised 27 Jun 2022 (this version, v2))
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.
Submission history
From: Mark-Oliver Wolf [view email][v1] Tue, 7 Jun 2022 07:14:12 GMT (4680kb,D)
[v2] Mon, 27 Jun 2022 08:29:54 GMT (5177kb,D)
Link back to: arXiv, form interface, contact.