{"_id":"w8CkhPurMz64XQdjv","bibbaseid":"kashani-alqasemi-hammond-aquantumfouriertransformqftbasednotedetectionalgorithm-2022","author_short":["Kashani, S.","Alqasemi, M.","Hammond, J."],"bibdata":{"bibtype":"article","type":"article","title":"A quantum Fourier transform (QFT) based note detection algorithm","url":"http://arxiv.org/abs/2204.11775","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.","urldate":"2022-04-30","journal":"arXiv:2204.11775 [quant-ph]","author":[{"propositions":[],"lastnames":["Kashani"],"firstnames":["Shlomo"],"suffixes":[]},{"propositions":[],"lastnames":["Alqasemi"],"firstnames":["Maryam"],"suffixes":[]},{"propositions":[],"lastnames":["Hammond"],"firstnames":["Jacob"],"suffixes":[]}],"month":"April","year":"2022","note":"arXiv: 2204.11775","keywords":"audio speech and processing, quantum physics, uses sympy","bibtex":"@article{kashani_quantum_2022,\n\ttitle = {A quantum {Fourier} transform ({QFT}) based note detection algorithm},\n\turl = {http://arxiv.org/abs/2204.11775},\n\tabstract = {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.},\n\turldate = {2022-04-30},\n\tjournal = {arXiv:2204.11775 [quant-ph]},\n\tauthor = {Kashani, Shlomo and Alqasemi, Maryam and Hammond, Jacob},\n\tmonth = apr,\n\tyear = {2022},\n\tnote = {arXiv: 2204.11775},\n\tkeywords = {audio speech and processing, quantum physics, uses sympy},\n}\n\n\n\n","author_short":["Kashani, S.","Alqasemi, M.","Hammond, J."],"key":"kashani_quantum_2022","id":"kashani_quantum_2022","bibbaseid":"kashani-alqasemi-hammond-aquantumfouriertransformqftbasednotedetectionalgorithm-2022","role":"author","urls":{"Paper":"http://arxiv.org/abs/2204.11775"},"keyword":["audio speech and processing","quantum physics","uses sympy"],"metadata":{"authorlinks":{}}},"bibtype":"article","biburl":"https://bibbase.org/zotero-group/nicoguaro/525293","dataSources":["YtBDXPDiQEyhyEDZC","fhHfrQgj3AaGp7e9E","qzbMjEJf5d9Lk78vE","45tA9RFoXA9XeH4MM","MeSgs2KDKZo3bEbxH","nSXCrcahhCNfzvXEY","ecatNAsyr4f2iQyGq","tpWeaaCgFjPTYCjg3"],"keywords":["audio speech and processing","quantum physics","uses sympy"],"search_terms":["quantum","fourier","transform","qft","based","note","detection","algorithm","kashani","alqasemi","hammond"],"title":"A quantum Fourier transform (QFT) based note detection algorithm","year":2022}