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Related Experiment Video

Updated: Jun 28, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

Enhanced factoring with a bose-einstein condensate.

Mark Sadgrove¹, Sanjay Kumar, Ken'ichi Nakagawa

¹CREST, Japan Science and Technology Agency, Kawaguchi, Saitama 332-0012, Japan.

Physical Review Letters

|November 13, 2008

Summary

This summary is machine-generated.

We developed a new quantum computing method using Bose-Einstein condensates to factor numbers. This approach enhances the accuracy of the Gauss sum algorithm beyond classical limits.

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Area of Science:

Quantum Computing
Atomic Physics
Number Theory

Background:

Classical computation faces limitations in factoring large numbers.
Bose-Einstein condensates offer unique quantum properties for computation.
Optical lattice potentials provide a controllable environment for quantum systems.

Purpose of the Study:

To introduce a novel method for analog sum computation using Bose-Einstein condensates.
To implement the Gauss sum algorithm for number factoring.
To enhance the accuracy of quantum factoring algorithms.

Main Methods:

Utilizing a Bose-Einstein condensate in an optical lattice.
Applying controlled phase jumps to the condensate.
Exploiting higher-order quantum momentum states.

Main Results:

Successful implementation of analog sum computation.
Demonstration of the Gauss sum algorithm for number factoring.
Achieved improved accuracy beyond classical methods.

Conclusions:

Bose-Einstein condensates in optical lattices provide a viable platform for quantum computation.
The developed method offers a pathway to more accurate number factoring.
Quantum approaches can overcome limitations of classical algorithms.