Cosine series quantum sampling method with applications in signal and image processing
arXiv:2011.12738
Abstract
A novel family of Cosine series Quantum Sampling (QCoSamp) operators appropriate for quantum computing is described. The development of quantum algorithms, analogous to classical algorithms, we apply to the harmonic analysis of signals. We show quantum sampling through measurements of a quantum system, and after operators of the family are applied, allow for input signal mapping with a Fourier series representation. Technical methodologies employed, facilitating the implementation of each QCoSamp algorithm to a quantum computer and application to the field of signal and image processing we also described. Keywords: quantum computing, quantum information theory, quantum operator, quantum sampling, Fourier sine-cosine series, signal processing, image processing
References in corpus (28)
- Persistent entanglement in arrays of interacting particles
- Universal Quantum Computation with ideal Clifford gates and noisy ancillas
- Quantum Amplitude Amplification and Estimation
- Quantum Algorithms Revisited
- Quantum algorithms: an overview
- Exchange Operator Formalism for Integrable Systems of Particles
- An approximate Fourier transform useful in quantum factoring
- Implementation of the Quantum Fourier Transform
- An Exact Quantum Polynomial-Time Algorithm for Simon's Problem
- Amplitude estimation without phase estimation
- Parallel generation of quadripartite cluster entanglement in the optical frequency comb
- How entangled can two couples get?
- Addition on a Quantum Computer
- Quantum Image Processing and Its Application to Edge Detection: Theory and Experiment
- Sample-optimal tomography of quantum states
- Speed-up via Quantum Sampling
- Optimizing quantum optimization algorithms via faster quantum gradient computation
- Quantum Randomness and Nondeterminism
- Quantum Sub-Gaussian Mean Estimator
- Generalised phase kick-back: the structure of computational algorithms from physical principles
- Fast quantum algorithms for numerical integrals and stochastic processes
- Cluster-state preparation and multipartite entanglement analyzer with fermions
- Weak Fourier-Schur sampling, the hidden subgroup problem, and the quantum collision problem
- Spin dependent extension of Calogero-Sutherland model through anyon like representations of permutation operators
- Quantum Arithmetic on Galois Fields
- The magic of universal quantum computing with permutations
- Control of entanglement transitions in quantum spin clusters
- Is partial quantum search of a database any easier?