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The Quantum Fourier Transform (QFT) is a fundamental component of many quantum computing algorithms. In this paper, we present an alternative method for factoring this transformation. Inspired by this approach, we introduce a new quantum…

量子物理 · 物理学 2025-07-30 Juan M. Romero , Emiliano Montoya-González , Guillermo Cruz , Roberto C. Romero

This paper investigates a non-negative matrix factorization (NMF)-based approach to the semi-supervised single-channel speech enhancement problem where only non-stationary additive noise signals are given. The proposed method relies on…

声音 · 计算机科学 2013-09-25 Nikolay Lyubimov , Mikhail Kotov

Variational quantum algorithms have received substantial theoretical and empirical attention. As the underlying variational quantum circuit (VQC) can be represented by Fourier series that contain an exponentially large spectrum in the…

量子物理 · 物理学 2025-08-27 Maja Franz , Melvin Strobl , Leonid Chaichenets , Eileen Kuehn , Achim Streit , Wolfgang Mauerer

In recent works, a flow-based neural vocoder has shown significant improvement in real-time speech generation task. The sequence of invertible flow operations allows the model to convert samples from simple distribution to audio samples.…

音频与语音处理 · 电气工程与系统科学 2020-08-18 Hyun-Wook Yoon , Sang-Hoon Lee , Hyeong-Rae Noh , Seong-Whan Lee

The quadratic phase Fourier transform QPFT is a neoteric addition to the class of Fourier transforms and embodies a variety of signal processing tools including the Fourier, fractional Fourier, linear canonical, and special affine Fourier…

泛函分析 · 数学 2022-07-21 Aamir H. Dar , M. Younus Bhat

The Quantum Fourier transform (QFT) is a key ingredient in most quantum algorithms. We have compared various spin-based quantum computing schemes to implement the QFT from the point of view of their actual time-costs and the accuracy of the…

量子物理 · 物理学 2014-08-07 Kavita Dorai , Dieter Suter

Quantum noise fundamentally limits the utility of near-term quantum devices, making error mitigation essential for practical quantum computation. While traditional quantum error correction codes require substantial qubit overhead and…

量子物理 · 物理学 2025-09-23 Karan Kendre

Quantum Fourier transform (QFT) is a key ingredient of many quantum algorithms where a considerable amount of ancilla qubits and gates are often needed to form a Hilbert space large enough for high-precision results. Qubit recycling reduces…

The \textit{Temporal Fusion Transformer} (TFT), proposed by Lim \textit{et al.}, published in \textit{International Journal of Forecasting} (2021), is a state-of-the-art attention-based deep neural network architecture specifically designed…

机器学习 · 计算机科学 2025-10-27 Krishnakanta Barik , Goutam Paul

Linear quantum amplifiers are indispensable tools for quantum technologies, yet their performance is fundamentally limited by quantum noise, precluding any signal-to-noise ratio (SNR) enhancement unless supplemented by post-selection or…

量子物理 · 物理学 2026-03-13 Ya-Long Ren , Rong-Teng Cao , Sheng-Li Ma , Ren Zhang , Fu-Li Li , Franco Nori , Peng-Bo Li

Quantum computing is emerging as an alternative computing technology, which is built on the principles of subatomic physics. In spite of continuing progress in developing increasingly more sophisticated hardware and software, access to…

声音 · 计算机科学 2021-12-07 Eduardo R. Miranda

Reducing the interference noise in a monaural noisy speech signal has been a challenging task for many years. Compared to traditional unsupervised speech enhancement methods, e.g., Wiener filtering, supervised approaches, such as algorithms…

声音 · 计算机科学 2017-09-19 Nasser Mohammadiha , Paris Smaragdis , Arne Leijon

Reliably transmitting quantum information via a noisy quantum channel is a central challenge in quantum information science. While constructing a decoder is crucial to this goal, little was known about quantum circuit implementations of…

量子物理 · 物理学 2026-03-18 Takeru Utsumi , Yoshifumi Nakata

In this paper, an algorithm for Quantum Inverse Fast Fourier Transform (QIFFT) is developed to work for quantum data. Analogous to a classical discrete signal, a quantum signal can be represented in Dirac notation, application of QIFFT is a…

量子物理 · 物理学 2024-09-13 Mayank Roy , Devi Maheswaran

Discrete Fourier transform (DFT) is the base of modern signal or information processing. 1-Dimensional fast Fourier transform (1D FFT) and 2D FFT have time complexity O(NlogN) and O(N^2logN) respectively. Quantum 1D and 2D DFT algorithms…

量子物理 · 物理学 2007-06-19 Chao-Yang Pang , Ben-Qiong Hu

NNR siganal will be enhanced by phase pre-whitening of presession of spin followed by quantum Fourier transform. FFT cannot the business as the phase is random.

量子物理 · 物理学 2007-05-23 Toshio Fukumi , Shizuo Fujiwara

For most of the state-of-the-art speech enhancement techniques, a spectrogram is usually preferred than the respective time-domain raw data since it reveals more compact presentation together with conspicuous temporal information over a…

声音 · 计算机科学 2016-08-24 Syu-Siang Wang , Alan Chern , Yu Tsao , Jeih-weih Hung , Xugang Lu , Ying-Hui Lai , Borching Su

This paper develops a unified framework for quantum wavelet shrinkage, extending classical denoising ideas into the quantum domain. Shrinkage is interpreted as a completely positive trace-preserving process, so attenuation of coefficients…

量子物理 · 物理学 2025-11-26 Brani Vidakovic

At the fundamental level, quantum communication is ultimately limited by noise. For instance, quantum signals cannot be amplified without the introduction of noise in the amplified states. Furthermore, photon loss reduces the…

The quantum Fourier transform (QFT) is the principal algorithmic tool underlying most efficient quantum algorithms. We present a generic framework for the construction of efficient quantum circuits for the QFT by ``quantizing'' the…

量子物理 · 物理学 2007-05-23 Cristopher Moore , Daniel Rockmore , Alexander Russell