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  1. View a PDF of the paper titled Fast Time-Evolution of Matrix-Product States using the QR decomposition, by Jakob Unfried and 1 other authors View PDF Abstract: We propose and benchmark a modified time evolution block decimation (TEBD) algorithm that uses a truncation scheme based on the QR decomposition instead of the singular value ...
  2. link.aps.org

    Apr 21, 2023Fast time evolution of matrix product states using the QR decomposition. Jakob Unfried *, ... the QR decomposition has a lower computational complexity than the SVD and allows for highly efficient implementations on GPU hardware. In a benchmark simulation of a global quench in a quantum clock model, we observe a speedup of up to three orders of ...
  3. harvest.aps.org

    lowing the success of the density matrix renormalization group (DMRG) method [1,2] for efficiently finding ground states of one-dimensional (1D) quantum systems in terms of matrix product states (MPSs), several related techniques have been developed to efficiently simulate the time evo-lution [3-8], with applications to classical simulation of
  4. We propose and benchmark a modified time evolution block decimation (TEBD) algorithm that uses a truncation scheme based on the QR decomposition instead of the singular value decomposition (SVD). The modification reduces the scaling with the dimension of the physical Hilbert space d from d3 down to d2. Moreover, the QR decomposition has a lower computational complexity than the SVD and allows ...
  5. Fast Time-Evolution of Matrix-Product States using the QR decomposition Jakob Unfried,1,2, Johannes Hauschild,1,2 and Frank Pollmann1,2 1Department of Physics, TFK, Technische Universit at Munchen, James-Franck-Straˇe 1, D-85748 Garching, Germany 2Munich Center for Quantum Science and Technology (MCQST), Schellingstr. 4, 80799 Munchen, Germany We propose and benchmark a modi ed time evolution ...
  6. researchgate.net

    We propose and benchmark a modified time evolution block decimation (TEBD) algorithm that uses a truncation scheme based on the QR decomposition instead of the singular value decomposition (SVD).
  7. semanticscholar.org

    A modified time evolution block decimation algorithm that uses a truncation scheme based on the QR decomposition instead of the singular value decomposition (SVD) to achieve a speedup of up to three orders of magnitude comparing QR and SVD based updates on an A100 GPU. We propose and benchmark a modified time evolution block decimation (TEBD) algorithm that uses a truncation scheme based on ...
  8. ar5iv.labs.arxiv.org

    Abstract. We propose and benchmark a modified time evolution block decimation (TEBD) algorithm that uses a truncation scheme based on the QR decomposition instead of the singular value decomposition (SVD).The modification reduces the scaling with the dimension of the physical Hilbert space d 𝑑 d from d 3 superscript 𝑑 3 d^{3} down to d 2 superscript 𝑑 2 d^{2}.
  9. researchgate.net

    Apr 21, 2023The method applies to both finite and inhomogeneous systems, and it is based on two ideas: (a) a representation for density operators which extends that of matrix product states to mixed states ...
  10. portal.fis.tum.de

    Dive into the research topics of 'Fast time evolution of matrix product states using the QR decomposition'. Together they form a unique fingerprint. ... Fast time evolution of matrix product states using the QR decomposition. Physical Review B. 2023 Apr 15;107(15):155133. doi: 10.1103/PhysRevB.107.155133.

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