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State preparation is a necessary component of many quantum algorithms.
A note on the generation of random normal deviates
Box, G. E. P. & Muller, M. E · 1958
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Expressing a Random Variable in Terms of Uniform Random Variables
Marsaglia, G · 1961
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Error of the normal approximation to the sum of n random variables
Sherman, R · 1971
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Density matrix formulation for quantum renormalization groups
White, S. R · 1992
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Density-matrix algorithms for quantum renormalization groups
White, S. R · 1993
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Approximation by quantum circuits
Knill, E · 1995
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Creating superpositions that correspond to efficiently integrable probability distributions
Grover, L. & Rudolph, T · 2002
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Entanglement in quantum critical phenomena
Vidal, G., Latorre, J. I., Rico, E. & Kitaev, A · 2003
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Efficient classical simulation of slightly entangled quantum computations
Vidal, G · 2003
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Ground state entanglement in quantum spin chains
Latorre, J., Rico, E. & Vidal, G · 2004
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Optimal quantum circuits for general two-qubit gates
Vatan, F. & Williams, C · 2004
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Matrix product state representations
Perez-Garcia, D., Verstraete, F., Wolf, M. M. & Cirac, J. I · 2007
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Quantum algorithm for linear systems of equations
Harrow, A. W., Hassidim, A. & Lloyd, S · 2009
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The density-matrix renormalization group in the age of matrix product states
Schollwöck, U · 2011
Cited alongside, same era.
Constructive representation of functions in low-rank tensor formats
Oseledets, I · 2013
Cited alongside, same era.
Quantum speedup of monte carlo methods
Montanaro, A · 2015
Cited alongside, same era.
Quantum Recommendation Systems
Kerenidis, I. & Prakash, A · 2017
Cited alongside, same era.
Quantum circuit learning
Mitarai, K., Negoro, M., Kitagawa, M. & Fujii, K · 2018
Cited alongside, same era.
Toward the first quantum simulation with quantum speedup
Childs, A. M., Maslov, D., Nam, Y., Ross, N. J. & Su, Y · 2018
Cited alongside, same era.
Hamiltonian Simulation by Qubitization
No quantum speedup with grover-rudolph state preparation for quantum monte carlo integration
Herbert, S · 2021
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The Efficient Preparation of Normal Distributions in Quantum Registers
Rattew, A. G., Sun, Y., Minssen, P. & Pistoia, M · 2021
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Automatic quantum circuit encoding of a given arbitrary quantum state, Preprint at arXiv:quant-ph/2112.14524 (2021)
Shirakawa, T., Ueda, H. & Yunoki, S · 2021
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Real- and imaginary-time evolution with compressed quantum circuits
Lin, S.-H., Dilip, R., Green, A. G., Smith, A. & Pollmann, F · 2021
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Generative quantum learning of joint probability distribution functions
Zhu, E. Y. et al · 2022
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Quantum state preparation with optimal circuit depth: Implementations and applications
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Low, G. H. & Chuang, I. L · 2019
Cited alongside, same era.
Quantum generative adversarial networks for learning and loading random distributions
Zoufal, C., Lucchi, A. & Woerner, S · 2019
Cited alongside, same era.
Black-box quantum state preparation without arithmetic
Sanders, Y. R., Low, G. H., Scherer, A. & Berry, D. W · 2019
Cited alongside, same era.
Efficient quantum circuits for accurate state preparation of smooth, differentiable functions
Holmes, A. & Matsuura, A. Y · 2020
Cited alongside, same era.
Encoding of matrix product states into quantum circuits of one-and two-qubit gates
Ran, S.-J · 2020
Cited alongside, same era.
Efficient state preparation for quantum amplitude estimation
Carrera Vazquez, A. & Woerner, S · 2021
Cited alongside, same era.
Zhang, X.-M., Li, T. & Yuan, X · 2022
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Preparing arbitrary continuous functions in quantum registers with logarithmic complexity
Rattew, A. G. & Koczor, B · 2022
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Quantum state preparation without coherent arithmetic
McArdle, S., Gilyén, A. & Berta, M · 2022
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Fast Black-Box Quantum State Preparation
Bausch, J · 2022
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Variational power of quantum circuit tensor networks
Haghshenas, R., Gray, J., Potter, A. C. & Chan, G. K.-L · 2022
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Asymptotically optimal circuit depth for quantum state preparation and general unitary synthesis
Sun, X., Tian, G., Yang, S., Yuan, P. & Zhang, S · 2023
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Decomposition of matrix product states into shallow quantum circuits
Rudolph, M. S., Chen, J., Miller, J., Acharya, A. & Perdomo-Ortiz, A · 2023
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