What is the sum of all the complex nth roots of unity?
Sunday, 06 August 2023
by EITCA Academy
The sum of all the complex nth roots of unity can be determined using the concept of the Quantum Fourier Transform (QFT) in the field of Quantum Information. The QFT is a fundamental operation in quantum computing that plays a important role in various quantum algorithms, including Shor's algorithm for factoring large numbers. To understand
How are the entries of the Quantum Fourier Transform matrix related to the complex roots of unity?
Sunday, 06 August 2023
by EITCA Academy
The Quantum Fourier Transform (QFT) is a fundamental operation in quantum computing that plays a important role in many quantum algorithms, such as Shor's algorithm for factoring large numbers and the quantum phase estimation algorithm. The QFT is an analog of the classical discrete Fourier transform, but it operates on quantum superpositions of states rather