Quantum Amplitude Interpolation
Charlee Stefanski, Vanio Markov, Constantin Gonciulea
TL;DR
This paper introduces a quantum amplitude interpolation method that enables high-precision representation of continuous signals by extending previous quantum inner product techniques to real-valued functions, inspired by classical sampling theory.
Contribution
The paper presents a novel quantum amplitude interpolation technique that generalizes prior methods to real-valued functions, enhancing quantum signal processing capabilities.
Findings
Successfully extends quantum inner product computation to real-valued functions
Provides a quantum analog of the Nyquist-Shannon sampling theorem
Enables high-precision quantum signal representation
Abstract
In this paper we present a method for representing continuous signals with high precision by interpolating quantum state amplitudes. The method is inspired by the Nyquist-Shannon sampling theorem, which links continuous and discrete time signals. This method extends our previous method of computing generalized inner products from integer-valued functions to real-valued functions.
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Taxonomy
TopicsQuantum Information and Cryptography · Blind Source Separation Techniques · Advanced Electrical Measurement Techniques