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Upsampling

Upsampling

Managing signal sampling rates is essential in digital signal processing to maintain signal integrity. A decimated signal, characterized by a reduced frequency range due to its lower sampling rate, can be upsampled by inserting zeros between each sample. This upsampling process expands the original spectrum and introduces repeated spectral replicas at intervals dictated by the new Nyquist frequency. To refine this zero-inserted sequence, it is passed through a lowpass filter with a cutoff...

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Updated: May 24, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Frequency up-conversion of quantum images.

Michael Vasilyev¹, Prem Kumar

¹Department of Electrical Engineering, University of Texas at Arlington, Arlington, Texas 76019, USA. vasilyev@uta.edu

|March 16, 2012

Summary

This summary is machine-generated.

We developed a theory for frequency up-conversion of quantum images, achieving 99% fidelity for infrared to visible light conversion. This method works with standard materials and moderate laser power.

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Area of Science:

Quantum optics
Nonlinear optics
Quantum information science

Background:

Quantum imaging relies on preserving quantum states during wavelength conversion.
Frequency up-conversion is crucial for interfacing quantum states with visible-light detectors.

Purpose of the Study:

To develop a theoretical framework for frequency up-conversion of spatially-broadband quantum states (quantum images).
To demonstrate high-fidelity up-conversion using realistic experimental parameters.

Main Methods:

Derivation of analytical solutions for frequency up-conversion theory.
Modeling spontaneous parametric down-conversion (SPDC) with orbital angular momentum (OAM) encoded pump beams.
Utilizing periodically-poled lithium niobate (PPLN) crystals.

Main Results:

Analytical solutions derived for plane-wave pump and short-crystal regimes.
Demonstrated 99% fidelity quantum image up-conversion from infrared to visible wavelengths.
Achieved high fidelity at pump intensities below the crystal damage threshold.

Conclusions:

The developed theory provides a robust framework for quantum image up-conversion.
High-fidelity wavelength conversion of quantum images is experimentally feasible.
This technique enables efficient transfer of quantum information to the visible spectrum.