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The decomposition of a square matrix into a sum of Pauli strings is a classical pre-processing step required to realize many quantum algorithms.
Efficient estimation of Pauli channels ,
S. T. Flammia and J. J. Wallman, · 1907
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Efficient learning of quantum noise ,
R. Harper, S. T. Flammia and J. J. Wallman, · 1907
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Über das paulische äquivalenzverbot ,
P. Jordan and E. Wigner, · 1928
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Unified Matrix Treatment of the Fast Walsh-Hadamard Transform ,
B. J. Fino and V. R. Algazi, · 1976
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Simulation of Many-Body Fermi Systems on a Universal Quantum Computer ,
D. S. Abrams and S. Lloyd, · 1997
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Hadamard matrix analysis and synthesis: with applications to communications and signal/image processing ,
R. K. Yarlagadda and J. E. Hershey, · 1997
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Quantum Algorithm Providing Exponential Speed Increase for Finding Eigenvalues and Eigenvectors ,
D. S. Abrams and S. Lloyd, · 1999
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Quantum Computation and Quantum Information , vol. 2,
M. A. Nielsen and I. L. Chuang, · 2001
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Quantum algorithms for fermionic simulations ,
G. Ortiz, J. E. Gubernatis, E. Knill and R. Laflamme, · 2001
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Nonorthogonal generalized wannier function pseudopotential plane-wave method ,
C.-K. Skylaris, A. A. Mostofi, P. D. Haynes, O. Diéguez and M. C. Payne, · 2002
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Total-energy calculations on a real space grid with localized functions and a plane-wave basis ,
A. A. Mostofi, C.-K. Skylaris, P. D. Haynes and M. C. Payne, · 2002
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Improved Simulation of Stabilizer Circuits ,
S. Aaronson and D. Gottesman, · 2004
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Simulated Quantum Computation of Molecular Energies ,
A. Aspuru-Guzik, A. D. Dutoi, P. J. Love and M. Head-Gordon, · 2005
Cited alongside, same era.
Fast Estimation of Sparse Quantum Noise ,
R. Harper, W. Yu and S. T. Flammia, · 2007
Cited alongside, same era.
Quantum algorithm for solving linear systems of equations ,
A. W. Harrow, A. Hassidim and S. Lloyd, · 2009
Cited alongside, same era.
Efficient algorithm for generating Pauli coordinates for an arbitrary linear operator ,
D. Gunlycke, M. C. Palenik, S. A. Fischer and A. R. Emmert, · 2011
Cited alongside, same era.
Low-Depth Quantum Simulation of Materials ,
R. Babbush, N. Wiebe, J. McClean, J. McClain, H. Neven and G. K.-L. Chan, · 2018
Cited alongside, same era.
A tree-approach Pauli decomposition algorithm with application to quantum computing ,
O. Koska, M. Baboulin and A. Gazda, · 2024
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Tensorized Pauli decomposition algorithm ,
L. Hantzko, L. Binkowski and S. Gupta, · 2024
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Handbook for efficiently quantifying robustness of magic ,
H. Hamaguchi, K. Hamada and N. Yoshioka, · 2024
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https://github.com/Qiskit/qiskit/pull/11557 (2024)
Qiskit Implementation of Tensorized Pauli Decomposition , · 2024
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Quantum computing with Qiskit ,
A. Javadi-Abhari, M. Treinish, K. Krsulich, C. J. Wood, J. Lishman, J. Gacon, S. Martiel, P. D. Nation, L. S. Bishop, A. W. Cross, B. R. Johnson and J. M. Gambetta, · 2024
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https://github.com/riverlane/pauli_lcu (2024)
Pauli Decomposition via the Fast Walsh-Hadamard Transform , · 2024
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A hybrid quantum-classical cfd methodology with benchmark hhl solutions (2022), eprint 2206.00419
L. Lapworth, · 2022
Cited alongside, same era.
PennyLane: Automatic differentiation of hybrid quantum-classical computations ,
V. Bergholm, J. Izaac, M. Schuld, C. Gogolin, S. Ahmed, V. Ajith, M. S. Alam, G. Alonso-Linaje, B. AkashNarayanan, A. Asadi, J. M. Arrazola, U. Azad et al. , · 2022
Cited alongside, same era.
PauliComposer: Compute Tensor Products of Pauli Matrices Efficiently ,
S. V. Romero and J. Santos-Suárez, · 2023
Cited alongside, same era.
Preparing a Fast Pauli Decomposition for Variational Quantum Solving Linear Equations ,
J. Ying, J. Shen, L. Zhou, W. Zhong, M. Du and Y. Sheng, · 2023
Cited alongside, same era.
How to write the iSWAP unitary as a linear combination of tensor products between 1-qubit gates? ,
C. Gidney, · 2023
Cited alongside, same era.
Decomposing dense matrices into dense Pauli tensors ,
T. Jones, · 2024
Cited alongside, same era.
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https://docs.quantum.ibm.com/api/qiskit/0.28/qiskit.quantum_info.PauliTable ,
Symplectic Representation of a Pauli Matrices. , · 2024
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paulidecomp ,
H. Hamaguchi, K. Hamada and N. Yoshioka, · 2024
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Integrals for ”quantum simulations of chemistry in first quantization with any basis set” ,
T. Georges, M. Bothe, C. Sunderhauf, B. Berntson, R. Izsak and A. Ivanov, · 2024
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Pauli Decomposition via the Fast Walsh-Hadamard Transform v3 ,
T. N. Georges, B. K. Berntson, C. Sünderhauf and A. V. Ivanov, · 2024
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Quantum simulations of chemistry in first quantization with any basis set ,
T. N. Georges, M. Bothe, C. Sünderhauf, B. K. Berntson, R. Izsák and A. V. Ivanov, · 2024
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