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Encoding classical data in a quantum state is a key prerequisite of many quantum algorithms.
“Scaling behavior in the dynamics of an economic index”
Rosario N. Mantegna and H. Eugene Stanley · 1995
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“Théorie des risques financiers”
Jean-Philippe Bouchaud and Marc Potters · 1997
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“Fractals and scaling in finance”
Benoit Mandelbrot · 1997
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“Approximation of boundary element matrices”
Mario Bebendorf · 2000
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“The fine structure of asset returns: An empirical investigation”
Peter Carr, Hélyette Geman, Dilip Madan, and Marc Yor · 2002
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“Random walks and diffusion”
M. Z. Bazant · 2003
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“Efficient classical simulation of slightly entangled quantum computations”
Guifré Vidal · 2003
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“Non-Parametric Calibration of Jump-Diffusion Option Pricing Models”
Rama Cont and Peter Tankov · 2004
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“Synthesis of quantum-logic circuits”
V.V. Shende, S.S. Bullock, and I.L. Markov · 2006
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“Matrix product state representations”
D. Perez-Garcia, F. Verstraete, M. M. Wolf, and J. I. Cirac · 2007
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“Entanglement properties of quantum superpositions of smooth, differentiable functions” (2020)
Adam Holmes and A. Y. Matsuura · 2009
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“Maslowian portfolio theory: An alternative formulation of the behavioural portfolio theory”
Philippe J. S. De Brouwer · 2009
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“Tt-cross approximation for multidimensional arrays”
Ivan Oseledets and Eugene Tyrtyshnikov · 2010
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“The density-matrix renormalization group in the age of matrix product states”
Ulrich Schollwöck · 2011
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“Target-oriented investment advice”
Philippe J. S. De Brouwer · 2011
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“O(dlog n)-quantics approximation of n-d tensors in high-dimensional numerical modeling”
Boris N. Khoromskij · 2011
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“Fast adaptive interpolation of multi-dimensional arrays in tensor train format”
Dmitry Savostyanov and Ivan Oseledets · 2011
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“Constructive representation of functions in low-rank tensor formats”
I. Oseledets · 2012
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“Decomposition of orthogonal matrix and synthesis of two-qubit and three-qubit orthogonal gates”
Hai-Rui Wei and Yao-Min Di · 2012
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“Quantum circuits for isometries”
Raban Iten, Roger Colbeck, Ivan Kukuljan, Jonathan Home, and Matthias Christandl · 2016
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“Finding purifications with minimal entanglement”
Johannes Hauschild, Eyal Leviatan, Jens H. Bardarson, Ehud Altman, Michael P. Zaletel, and Frank Pollmann · 2018
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“Quantum generative adversarial networks for learning and loading random distributions”
Christa Zoufal, Aurélien Lucchi, and Stefan Woerner · 2019
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“Quantum risk analysis”
Stefan Woerner and Daniel J. Egger · 2019
“Linear-depth quantum circuits for loading fourier approximations of arbitrary functions”
Mudassir Moosa, Thomas W Watts, Yiyou Chen, Abhijat Sarma, and Peter L McMahon · 2023
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“Decomposition of matrix product states into shallow quantum circuits”
Manuel S Rudolph, Jing Chen, Jacob Miller, Atithi Acharya, and Alejandro Perdomo-Ortiz · 2023
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“Quantum algorithms for approximate function loading”
Gabriel Marin-Sanchez, Javier Gonzalez-Conde, and Mikel Sanz · 2023
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“Quantum state preparation using tensor networks”
Ar A Melnikov, A A Termanova, S V Dolgov, F Neukart, and M R Perelshtein · 2023
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“A modular engine for quantum monte carlo integration” (2023)
Ismail Yunus Akhalwaya, Adam Connolly, Roland Guichard, Steven Herbert, Cahit Kargi, Alexandre Krajenbrink, Michael Lubasch, Conor Mc Keever, Julien Sorci, Michael Spranger, and Ifan Williams · 2023
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Cited alongside, same era.
“Quantum self-learning monte carlo and quantum-inspired fourier transform sampler”
Katsuhiro Endo, Taichi Nakamura, Keisuke Fujii, and Naoki Yamamoto · 2020
Cited alongside, same era.
“Encoding of matrix product states into quantum circuits of one- and two-qubit gates”
Shi-Ju Ran · 2020
Cited alongside, same era.
“Efficient quantum circuits for accurate state preparation of smooth, differentiable functions”
Adam Holmes and Anne Y. Matsuura · 2020
Cited alongside, same era.
“Option pricing using quantum computers”
Nikitas Stamatopoulos, Daniel J. Egger, Yue Sun, Christa Zoufal, Raban Iten, Ning Shen, and Stefan Woerner · 2020
Cited alongside, same era.
“Variational quantum algorithms for nonlinear problems”
Michael Lubasch, Jaewoo Joo, Pierre Moinier, Martin Kiffner, and Dieter Jaksch · 2020
Cited alongside, same era.
“Quantum-inspired algorithms for multivariate analysis: from interpolation to partial differential equations”
Juan José García-Ripoll · 2021
Cited alongside, same era.
“Density Matrix and Tensor Network Renormalization”
Tao Xiang · 2023
Later among the works it cites.
“Approximate encoding of quantum states using shallow circuits”
Matan Ben-Dov, David Shnaiderov, Adi Makmal, and Emanuele G. Dalla Torre · 2024
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“Preparation of matrix product states with log-depth quantum circuits”
Daniel Malz, Georgios Styliaris, Zhi-Yuan Wei, and J. Ignacio Cirac · 2024
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Kevin C. Smith, Abid Khan, Bryan K. Clark, S. M. Girvin, and Tzu-Chieh Wei · 2024
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“Multiscale interpolative construction of quantized tensor trains” (2024)
Michael Lindsey · 2024
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Jason Iaconis, Sonika Johri, and Elton Yechao Zhu · 2024
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Yuichi Sano and Ikko Hamamura · 2024
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Yuriel Núñez Fernández, Marc K. Ritter, Matthieu Jeannin, Jheng-Wei Li, Thomas Kloss, Thibaud Louvet, Satoshi Terasaki, Olivier Parcollet, Jan von Delft, Hiroshi Shinaoka, and Xavier Waintal · 2024
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Juan José Rodríguez-Aldavero, Paula García-Molina, Luca Tagliacozzo, and Juan José García-Ripoll · 2024
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Marc K. Ritter, Yuriel Núñez Fernández, Markus Wallerberger, Jan von Delft, Hiroshi Shinaoka, and Xavier Waintal · 2024
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“Quantum computing with Qiskit” (2024)
Ali Javadi-Abhari, Matthew Treinish, Kevin Krsulich, Christopher J. Wood, Jake Lishman, Julien Gacon, Simon Martiel, Paul D. Nation, Lev S. Bishop, Andrew W. Cross, Blake R. Johnson, and Jay M. Gambetta · 2024
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