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Machine learning tasks are an exciting application for quantum computers, as it has been proven that they can learn certain problems more efficiently than classical ones.
TensorNetwork for machine learning
Stavros Efthymiou, Jack Hidary, and Stefan Leichenauer · 1906
Earlier work this paper cites.
The method of stochastic approximation for the determination of the least eigenvalue of a symmetrical matrix
T. P. Krasulina · 1969
Earlier work this paper cites.
Discrete cosine transform
Nasir Ahmed, T. Raj Natarajan, and Kamisetty R. Rao · 1974
Earlier work this paper cites.
Color and spatial structure in natural scenes
G. J. Burton and Ian R. Moorhead · 1987
Earlier work this paper cites.
Relations between the statistics of natural images and the response properties of cortical cells
David J. Field · 1987
Earlier work this paper cites.
Creating artificial neural networks that generalize
Jocelyn Sietsma and Robert J.F. Dow · 1991
Earlier work this paper cites.
Amplitude spectra of natural images
David J. Tolhurst, Yoav Tadmor, and Tang Chao · 1992
Earlier work this paper cites.
The JPEG still picture compression standard
Gregory K. Wallace · 1992
Earlier work this paper cites.
Finitely correlated states on quantum spin chains
Mark Fannes, Bruno Nachtergaele, and Reinhard F. Werner · 1992
Earlier work this paper cites.
Scale-invariance and self-similar ‘wavelet’ transforms: an analysis of natural scenes and mammalian visual systems , pages 151–193
David J. Field · 1993
Earlier work this paper cites.
Average entropy of a subsystem
Don N. Page · 1993
Earlier work this paper cites.
The statistics of natural images
Daniel L. Ruderman · 1994
Earlier work this paper cites.
Training with noise is equivalent to Tikhonov regularization
Chris M. Bishop · 1995
Earlier work this paper cites.
Modelling the power spectra of natural images: Statistics and information
Arjen van der Schaaf and J. Hans van Hateren · 1996
Earlier work this paper cites.
The effects of adding noise during backpropagation training on a generalization performance
Guozhong An · 1996
Earlier work this paper cites.
Origins of scaling in natural images
Daniel L. Ruderman · 1997
Earlier work this paper cites.
Pattern recognition on a quantum computer
Ralf Schützhold · 2003
Earlier work this paper cites.
Sequential generation of entangled multiqubit states
Christian Schön, Enrique Solano, Frank Verstraete, J. Ignacio Cirac, and Michael M. Wolf · 2005
Earlier work this paper cites.
Image compression and entanglement
Jose I. Latorre · 2005
Earlier work this paper cites.
Improved time bounds for near-optimal sparse Fourier representations
Anna C. Gilbert, Shan Muthukrishnan, and Martin Strauss · 2005
Earlier work this paper cites.
Matrix product states represent ground states faithfully
Frank Verstraete and J. Ignacio Cirac · 2006
Earlier work this paper cites.
Sequential generation of matrix-product states in cavity QED
Christian Schön, Klemens Hammerer, Michael M. Wolf, J. Ignacio Cirac, and Enrique Solano · 2007
Earlier work this paper cites.
An area law for one-dimensional quantum systems
Matthew B. Hastings · 2007
Earlier work this paper cites.
Entropy scaling and simulability by matrix product states
Norbert Schuch, Michael M. Wolf, Frank Verstraete, and J. Ignacio Cirac · 2008
Earlier work this paper cites.
Class of quantum many-body states that can be efficiently simulated
G. Vidal · 2008
Earlier work this paper cites.
Efficient quantum algorithm for preparing molecular-system-like states on a quantum computer
Hefeng Wang, Sahel Ashhab, and Franco Nori · 2009
Earlier work this paper cites.
ImageNet: A large-scale hierarchical image database
Jia Deng, Wei Dong, Richard Socher, Li-Jia Li, Kai Li, and Li Fei-Fei · 2009
Earlier work this paper cites.
Optimization search effort over the control landscapes for open quantum systems with Kraus-map evolution
Anand Oza, Alexander Pechen, Jason Dominy, Vincent Beltrani, Katharine Moore, and Herschel Rabitz · 2009
Earlier work this paper cites.
Entanglement versus gap for one-dimensional spin systems
Daniel Gottesman and Matthew B. Hastings · 2010
Earlier work this paper cites.
Colloquium: Area laws for the entanglement entropy
Jens Eisert, Marcus Cramer, and Martin B. Plenio · 2010
Earlier work this paper cites.
The density-matrix renormalization group in the age of matrix product states
Ulrich Schollwöck · 2010
Earlier work this paper cites.
Approximation of 2 d × 2 d 2^{d}\times 2^{d} matrices using tensor decomposition
Ivan V. Oseledets · 2010
Earlier work this paper cites.
Quantum-state preparation with universal gate decompositions
Martin Plesch and Časlav Brukner · 2011
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A multi-channel representation for images on quantum computers using the RGB α \alpha color space
Bo Sun, Phuc Q. Le, Abdullah M. Iliyasu, Fei Yan, J. Adrian Garcia, Fangyan Dong, and Kaoru Hirota · 2011
Earlier work this paper cites.
Efficient color transformations on quantum images
Phuc Q. Le, Abdullah M. Iliyasu, Fangyan Dong, and Kaoru Hirota · 2011
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O ( d log N ) {O(d\log N)} -quantics approximation of N {N} - d d tensors in high-dimensional numerical modeling
Boris N. Khoromskij · 2011
Earlier work this paper cites.
Tensor-train decomposition
I. V. Oseledets · 2011
Earlier work this paper cites.
Fast adaptive interpolation of multi-dimensional arrays in tensor train format
Dmitry V. Savostyanov and Ivan Oseledets · 2011
Earlier work this paper cites.
Quantum algorithm for data fitting
Nathan Wiebe, Daniel Braun, and Seth Lloyd · 2012
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NEQR: a novel enhanced quantum representation of digital images
Yi Zhang, Kai Lu, Yinghui Gao, and Mo Wang · 2013
Earlier work this paper cites.
An RGB multi-channel representation for images on quantum computers
Bo Sun, Abdullah M. Iliyasu, Fei Yan, Fangyan Dong, and Kaoru Hirota · 2013
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Constructive representation of functions in low-rank tensor formats
Ivan V. Oseledets · 2013
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Sample-optimal average-case sparse Fourier transform in two dimensions
Badih Ghazi, Haitham Hassanieh, Piotr Indyk, Dina Katabi, Eric Price, and Lixin Shi · 2013
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Quantum support vector machine for big data classification
Patrick Rebentrost, Masoud Mohseni, and Seth Lloyd · 2014
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Quantum image scaling using nearest neighbor interpolation
Nan Jiang and Luo Wang · 2014
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Classical Fourier Analysis , volume 249 of Graduate Texts in Mathematics
Loukas Grafakos · 2014
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Emergent irreversibility and entanglement spectrum statistics
Claudio Chamon, Alioscia Hamma, and Eduardo R. Mucciolo · 2014
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Irreversibility and entanglement spectrum statistics in quantum circuits
Daniel Shaffer, Claudio Chamon, Alioscia Hamma, and Eduardo R. Mucciolo · 2014
Power of data in quantum machine learning
Hsin-Yuan Huang, Michael Broughton, Masoud Mohseni, Ryan Babbush, Sergio Boixo, Hartmut Neven, and Jarrod R. McClean · 2021
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Effect of data encoding on the expressive power of variational quantum-machine-learning models
Maria Schuld, Ryan Sweke, and Johannes Jakob Meyer · 2021
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Quantum-inspired algorithms for multivariate analysis: from interpolation to partial differential equations
Juan José García-Ripoll · 2021
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Real- and imaginary-time evolution with compressed quantum circuits
Sheng-Hsuan Lin, Rohit Dilip, Andrew G. Green, Adam Smith, and Frank Pollmann · 2021
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Suppression of midcircuit measurement crosstalk errors with micromotion
John P. Gaebler, Charles H. Baldwin, Steven A. Moses, Joan M. Dreiling, Caroline Figgatt, Michael Foss-Feig, David Hayes, and Juan M. Pino · 2021
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Recent developments in the sparse Fourier transform: A compressed Fourier transform for big data
Anna C. Gilbert, Piotr Indyk, Mark Iwen, and Ludwig Schmidt · 2014
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Quasioptimality of maximum-volume cross interpolation of tensors
Dmitry V. Savostyanov · 2014
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Read the fine print
Scott Aaronson · 2015
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Quantum image scaling up based on nearest-neighbor interpolation with integer scaling ratio
Nan Jiang, Jian Wang, and Yue Mu · 2015
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Quantum image gray-code and bit-plane scrambling
Ri-Gui Zhou, Ya-Juan Sun, and Ping Fan · 2015
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TensorFlow: Large-scale machine learning on heterogeneous systems
Martín Abadi, Ashish Agarwal, Paul Barham, Eugene Brevdo, Zhifeng Chen, Craig Citro, Greg S. Corrado, Andy Davis, Jeffrey Dean, Matthieu Devin, Sanjay Ghemawat, Ian Goodfellow, Andrew Harp, Geoffrey Irving, Michael Isard, Yangqing Jia, Rafal Jozefowicz, Lukasz Kaiser, Manjunath Kudlur, Josh Levenberg, Dandelion Mané, Rajat Monga, Sherry Moore, Derek Murray, Chris Olah, Mike Schuster, Jonathon Shlens, Benoit Steiner, Ilya Sutskever, Kunal Talwar, Paul Tucker, Vincent Vanhoucke, Vijay Vasudevan, Fernanda Viégas, Oriol Vinyals, Pete Warden, Martin Wattenberg, Martin Wicke, Yuan Yu, and Xiaoqiang Zheng · 2015
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An improved novel quantum image representation and its experimental test on IBM quantum experience
Jie Su, Xuchao Guo, Chengqi Liu, Suhan Lu, and Lin Li · 2021
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Matrix product states and projected entangled pair states: Concepts, symmetries, theorems
J. Ignacio Cirac, David Pérez-García, Norbert Schuch, and Frank Verstraete · 2021
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Fourier decay of absolutely and Hölder continuous functions with infinitely or finitely many oscillations
Juhani Nissilä · 2021
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Absence of barren plateaus in quantum convolutional neural networks
Arthur Pesah, Marco Cerezo, Samson Wang, Tyler Volkoff, Andrew T. Sornborger, and Patrick J. Coles · 2021
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Quantum pixel representations and compression for N {N} -dimensional images
Mercy G. Amankwah, Daan Camps, E. Wes Bethel, Roel Van Beeumen, and Talita Perciano · 2022
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Data compression for quantum machine learning
Rohit Dilip, Yu-Jie Liu, Adam Smith, and Frank Pollmann · 2022
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Crossing a topological phase transition with a quantum computer
Adam Smith, Bernhard Jobst, Andrew G. Green, and Frank Pollmann · 2022
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Quantum state preparation protocol for encoding classical data into the amplitudes of a quantum information processing register’s wave function
Sahel Ashhab · 2022
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Characterizing midcircuit measurements on a superconducting qubit using gate set tomography
Kenneth Rudinger, Guilhem J. Ribeill, Luke C.G. Govia, Matthew Ware, Erik Nielsen, Kevin Young, Thomas A. Ohki, Robin Blume-Kohout, and Timothy Proctor · 2022
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A quantum-inspired approach to exploit turbulence structures
Nikita Gourianov, Michael Lubasch, Sergey Dolgov, Quincy Y. van den Berg, Hessam Babaee, Peyman Givi, Martin Kiffner, and Dieter Jaksch · 2022
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Learning Feynman diagrams with tensor trains
Yuriel Núñez Fernández, Matthieu Jeannin, Philipp T. Dumitrescu, Thomas Kloss, Jason Kaye, Olivier Parcollet, and Xavier Waintal · 2022
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Quantum Monte Carlo integration: The full advantage in minimal circuit depth
Steven Herbert · 2022
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Sequential generation of projected entangled-pair states
Zhi-Yuan Wei, Daniel Malz, and J. Ignacio Cirac · 2022
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The variational power of quantum circuit tensor networks
Reza Haghshenas, Johnnie Gray, Andrew C. Potter, and Garnet Kin-Lic Chan · 2022
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Finite-depth scaling of infinite quantum circuits for quantum critical points
Bernhard Jobst, Adam Smith, and Frank Pollmann · 2022
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https://dlmf.nist.gov/25.11 . Release 1.1.8 of 2022-12-15. Frank W. J. Olver, Adri B. Olde Daalhuis, Daniel W. Lozier, Barry I. Schneider, Ronald F. Boisvert, Charles W. Clark, Bruce R. Miller, Bonita V. Saunders, Howard S. Cohl and Marjorie A. McClain, eds
NIST Digital Library of Mathematical Functions (DLFM): Hurwitz zeta function, December 2022 · 2022
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Superpolynomial quantum-classical separation for density modeling
Niklas Pirnay, Ryan Sweke, Jens Eisert, and Jean-Pierre Seifert · 2023
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Exponential separations between classical and quantum learners
Casper Gyurik and Vedran Dunjko · 2023
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Model-independent learning of quantum phases of matter with quantum convolutional neural networks
Yu-Jie Liu, Adam Smith, Michael Knap, and Frank Pollmann · 2023
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Exact quantum algorithms for quantum phase recognition: Renormalization group and error correction
Ethan Lake, Shankar Balasubramanian, and Soonwon Choi · 2023
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Tensor network based efficient quantum data loading of images
Jason Iaconis and Sonika Johri · 2023
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Midcircuit measurements on a single-species neutral alkali atom quantum processor
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Time evolution of uniform sequential circuits
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Efficient MPS representations and quantum circuits from the Fourier modes of classical image data, November 2023
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Barren plateaus in quantum tensor network optimization
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Classification of the Fashion-MNIST dataset on a quantum computer
Kevin Shen, Bernhard Jobst, Elvira Shishenina, and Frank Pollmann · 2024
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Quantics tensor cross interpolation for high-resolution parsimonious representations of multivariate functions
Marc K. Ritter, Yuriel Núñez Fernández, Markus Wallerberger, Jan von Delft, Hiroshi Shinaoka, and Xavier Waintal · 2024
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Drastic circuit depth reductions with preserved adversarial robustness by approximate encoding for quantum machine learning
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Entanglement transitions in unitary circuit games
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Preparation of matrix product states with log-depth quantum circuits
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Constant-depth preparation of matrix product states with adaptive quantum circuits
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Preparing matrix product states via fusion: constraints and extensions
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Absence of barren plateaus in finite local-depth circuits with long-range entanglement
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Parallel quantum simulation of large systems on small NISQ computers
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Linear-depth quantum circuits for loading Fourier approximations of arbitrary functions
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Towards quantum machine learning with tensor networks
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