A quantum Fourier transform (QFT) based note detection algorithm

• URL: http://arxiv.org/abs/2204.11775v2
• Date: Sat, 30 Apr 2022 18:47:44 GMT
• Title: A quantum Fourier transform (QFT) based note detection algorithm
• Authors: Shlomo Kashani, Maryam Alqasemi, Jacob Hammond
• Abstract summary: In quantum information processing, the quantum transform (QFT) has a plethora of applications. We create a quantum music note detection algorithm both on a simulated and a real quantum computer.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In quantum information processing (QIP), the quantum Fourier transform (QFT) has a plethora of applications [1] [2] [3]: Shor's algorithm and phase estimation are just a few well-known examples. Shor's quantum factorization algorithm, one of the most widely quoted quantum algorithms [4] [5] [6] relies heavily on the QFT and efficiently finds integer prime factors of large numbers on quantum computers [4]. This seminal ground-breaking design for quantum algorithms has triggered a cascade of viable alternatives to previously unsolvable problems on a classical computer that are potentially superior and can run in polynomial time. In this work we examine the QFT's structure and implementation for the creation of a quantum music note detection algorithm both on a simulated and a real quantum computer. Though formal approaches [7] [1] [8] [9] exist for the verification of quantum algorithms, in this study we limit ourselves to a simpler, symbolic representation which we validate using the symbolic SymPy [10] [11] package which symbolically replicates quantum computing processes. The algorithm is then implemented as a quantum circuit, using IBM's qiskit [12] library and finally period detection is exemplified on an actual single musical tone using a varying number of qubits.

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