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Out-of-distribution generalization for learning quantum dynamics. [PDF]
Nat Commun, 2023 Generalization bounds are a critical tool to assess the training data requirements of Quantum Machine Learning (QML). Recent work has established guarantees for in-distribution generalization of quantum neural networks (QNNs), where training and testing ...
Caro MC +7 more
europepmc +3 more sources
General Non-Markovian Quantum Dynamics. [PDF]
Entropy (Basel), 2021 A general approach to the construction of non-Markovian quantum theory is proposed. Non-Markovian equations for quantum observables and states are suggested by using general fractional calculus.
Tarasov VE.
europepmc +2 more sources
A general quantum algorithm for open quantum dynamics demonstrated with the Fenna-Matthews-Olson complex [PDF]
Quantum, 2021 Using quantum algorithms to simulate complex physical processes and correlations in quantum matter has been a major direction of quantum computing research, towards the promise of a quantum advantage over classical approaches.
Zixuan Hu +4 more
semanticscholar +1 more source
Bounds in nonequilibrium quantum dynamics [PDF]
International Journal of Modern Physics B, 2022 We review various bounds concerning out-of-equilibrium dynamics in few-level and many-body quantum systems. We primarily focus on closed quantum systems but will also mention some related results for open quantum systems and classical stochastic systems.
Z. Gong, Ryusuke Hamazaki
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Global correlation and local information flows in controllable non-Markovian open quantum dynamics [PDF]
npj Quantum Information, 2022 In a fully-controllable experiment platform for studying non-Markovian open quantum dynamics, we show that the non-Markovianity could be investigated from the global and local aspects.
Xinyu Chen +7 more
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Classical shadow tomography with locally scrambled quantum dynamics [PDF]
Physical Review Research, 2021 We generalize the classical shadow tomography scheme to a broad class of finite-depth or finite-time local unitary ensembles, known as locally scrambled quantum dynamics, where the unitary ensemble is invariant under local basis transformations.
Hong-ye Hu, Soonwon Choi, Yi-Zhuang You
semanticscholar +1 more source
Constructing tensor network influence functionals for general quantum dynamics. [PDF]
Journal of Chemical Physics, 2021 We describe an iterative formalism to compute influence functionals that describe the general quantum dynamics of a subsystem beyond the assumption of linear coupling to a quadratic bath. We use a space-time tensor network representation of the influence
Erika Ye, G. Chan
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Functional Tensor-Train Chebyshev Method for Multidimensional Quantum Dynamics Simulations. [PDF]
Journal of Chemical Theory and Computation, 2021 Methods for efficient simulations of multidimensional quantum dynamics are essential for theoretical studies of chemical systems where quantum effects are important, such as those involving rearrangements of protons or electronic configurations. Here, we
Micheline B. Soley +3 more
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Computing quantum dynamics in the semiclassical regime [PDF]
Acta Numerica, 2020 The semiclassically scaled time-dependent multi-particle Schrödinger equation describes, inter alia, quantum dynamics of nuclei in a molecule. It poses the combined computational challenges of high oscillations and high dimensions. This paper reviews and
C. Lasser, C. Lubich
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Adaptive Variational Quantum Dynamics Simulations [PDF]
PRX Quantum, 2020 We propose a general-purpose, self-adaptive approach to construct variational wavefunction ans\"atze for highly accurate quantum dynamics simulations.
Yongxin Yao +6 more
semanticscholar +1 more source