A pure Python implementation of Shor's quantum factorisation algorithm using classical matrix operations to simulate quantum circuits. This educational project demonstrates the core concepts of Shor's ...

Over at Quanta Magazine [Shalma Wegsman] asks What Is the Fourier Transform? [Shalma] begins by telling you a little about Joseph Fourier, the French mathematician with an interest in heat propagation ...

Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of mathematics and physics. The calculation, called the Fourier transform, ...

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The SH and PSQ ETFs provide simple inverse exposure to major U.S. market indexes. For bearish-leaning risk takers, the SPXS ETF offers powerful leverage when the S&P 500 declines. Are you ahead, or ...

A revolutionary treatment for autoimmune diseases could be on the horizon. Twenty-four million to 50 million Americans have an autoimmune disease, in which the body’s immune system mistakenly attacks ...

Despite being the most abundant element in the universe, making cheap, clean hydrogen here on Earth has been a surprisingly tough nut to crack. “Hydrogen has always been plagued with a couple problems ...

The inverse transform can create a time-domain waveform where no waveform has been before. In part 2 of this series, we used the discrete Fourier transform to convert a waveform from the time domain ...

In part 1 of this series, we looked at the formula for the inverse discrete Fourier transform and manually calculated the inverse transform for a four-point dataset. Then, we used Excel’s ...

Abstract: Image segmentation is a crucial task in computer vision. In this study, we propose a method based on inverse quantum Fourier transform (IQFT) and develop a robust IQFT-inspired algorithm for ...