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We introduce AQCtensor, a novel algorithm to produce short-depth quantum circuits from Matrix Product States (MPS).
Efficient simulation of one-dimensional quantum many-body systems
Guifré Vidal · 2004
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An area law for one-dimensional quantum systems
Matthew B Hastings · 2007
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Time-dependent variational principle for quantum lattices
Jutho Haegeman, J. Ignacio Cirac, Tobias J. Osborne, Iztok Pižorn, Henri Verschelde, and Frank Verstraete · 2011
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The density-matrix renormalization group in the age of matrix product states
Ulrich Schollwöck · 2011
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One-dimensional continuum electronic structure with the density-matrix renormalization group and its implications for density-functional theory
EM Stoudenmire, Lucas O Wagner, Steven R White, and Kieron Burke · 2012
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Kohn-sham calculations with the exact functional
Lucas O Wagner, Thomas E Baker, E Miles Stoudenmire, Kieron Burke, and Steven R White · 2014
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Time-evolving a matrix product state with long-ranged interactions
Michael P. Zaletel, Roger S. K. Mong, Christoph Karrasch, Joel E. Moore, and Frank Pollmann · 2015
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Supervised learning with tensor networks
Edwin Stoudenmire and David J Schwab · 2016
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Unifying time evolution and optimization with matrix product states
Jutho Haegeman, Christian Lubich, Ivan Oseledets, Bart Vandereycken, and Frank Verstraete · 2016
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From the quantum transfer matrix to the quench action: the loschmidt echo in xxz heisenberg spin chains
Lorenzo Piroli, Balázs Pozsgay, and Eric Vernier · 2017
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Efficient numerical simulations with tensor networks: Tensor network python (tenpy)
Johannes Hauschild and Frank Pollmann · 2018
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Tensor networks for complex quantum systems
Román Orús · 2019
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Towards quantum machine learning with tensor networks
William Huggins, Piyush Patil, Bradley Mitchell, K Birgitta Whaley, and E Miles Stoudenmire · 2019
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Random compiler for fast hamiltonian simulation
Earl Campbell · 2019
Cited alongside, same era.
Simulating quantum many-body dynamics on a current digital quantum computer
Adam Smith, MS Kim, Frank Pollmann, and Johannes Knolle · 2019
Cited alongside, same era.
Quantum-assisted quantum compiling
Sumeet Khatri, Ryan LaRose, Alexander Poremba, Lukasz Cincio, Andrew T Sornborger, and Patrick J Coles · 2019
Cited alongside, same era.
Tensor network contractions: methods and applications to quantum many-body systems
Shi-Ju Ran, Emanuele Tirrito, Cheng Peng, Xi Chen, Luca Tagliacozzo, Gang Su, and Maciej Lewenstein · 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.
Variational fast forwarding for quantum simulation beyond the coherence time
Cristina Cirstoiu, Zoe Holmes, Joseph Iosue, Lukasz Cincio, Patrick J Coles, and Andrew Sornborger · 2020
Long-time simulations for fixed input states on quantum hardware
Joe Gibbs, Kaitlin Gili, Zoë Holmes, Benjamin Commeau, Andrew Arrasmith, Lukasz Cincio, Patrick J Coles, and Andrew Sornborger · 2022
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A practical guide to the numerical implementation of tensor networks i: Contractions, decompositions, and gauge freedom
Glen Evenbly · 2022
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Escaping barren plateaus in approximate quantum compiling
Niall F Robertson, Albert Akhriev, Jiri Vala, and Sergiy Zhuk · 2022
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Synergistic pretraining of parametrized quantum circuits via tensor networks
Manuel S Rudolph, Jacob Miller, Danial Motlagh, Jing Chen, Atithi Acharya, and Alejandro Perdomo-Ortiz · 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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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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Quantum-assisted simulator
Kishor Bharti and Tobias Haug · 2021
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Quantum algorithms for quantum dynamics: a performance study on the spin-boson model
Alexander Miessen, Pauline J Ollitrault, and Ivano Tavernelli · 2021
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Cost function dependent barren plateaus in shallow parametrized quantum circuits
Marco Cerezo, Akira Sone, Tyler Volkoff, Lukasz Cincio, and Patrick J Coles · 2021
Cited alongside, same era.
Generative modeling with projected entangled-pair states
Tom Vieijra, Laurens Vanderstraeten, and Frank Verstraete · 2022
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Approximate encoding of quantum states using shallow circuits
Matan Ben Dov, David Shnaiderov, Adi Makmal, and Emanuele G Dalla Torre · 2022
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Evidence for the utility of quantum computing before fault tolerance
Youngseok Kim, Andrew Eddins, Sajant Anand, Ken Xuan Wei, Ewout Van Den Berg, Sami Rosenblatt, Hasan Nayfeh, Yantao Wu, Michael Zaletel, Kristan Temme, et al · 2023
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Error bounds for variational quantum time evolution
Christa Zoufal, David Sutter, and Stefan Woerner · 2023
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Optimal compression of quantum many-body time evolution operators into brickwall circuits
Maurits S. J. Tepaske, Dominik Hahn, and David J. Luitz · 2023
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Classically optimized hamiltonian simulation
Conor Mc Keever and Michael Lubasch · 2023
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Well-conditioned multi-product formulas for hardware-friendly hamiltonian simulation
Almudena Carrera Vazquez, Daniel J Egger, David Ochsner, and Stefan Woerner · 2023
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Evidence of kardar-parisi-zhang scaling on a digital quantum simulator
Nathan Keenan, Niall F Robertson, Tara Murphy, Sergiy Zhuk, and John Goold · 2023
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Probabilistic error cancellation with sparse pauli–lindblad models on noisy quantum processors
Ewout Van Den Berg, Zlatko K Minev, Abhinav Kandala, and Kristan Temme · 2023
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Trotter error bounds and dynamic multi-product formulas for hamiltonian simulation
Sergiy Zhuk, Niall F Robertson, and Sergey Bravyi · 2024
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