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Automatic Identification of Dendritic Branches and their Orientation
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QuTree: A tree tensor network package.

Roman Ellerbrock1,2,3, K Grace Johnson1,2, Stefan Seritan1,2

  • 1Department of Chemistry and The PULSE Institute, Stanford University, Stanford, California 94305, USA.

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QuTree is a C++ library designed for tree tensor network methods, enabling efficient development of complex quantum simulations. Its negligible overhead supports large-scale computations, making advanced quantum approaches more accessible.

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Area of Science:

  • Computational Physics
  • Quantum Computing
  • Numerical Methods

Background:

  • Tree tensor network (TTN) approaches are powerful tools for simulating quantum systems.
  • Developing and implementing TTN methods can be complex and computationally intensive.

Purpose of the Study:

  • To introduce QuTree, a C++ library for simplifying the development of TTN approaches.
  • To provide efficient class structures for tensors and tensor networks.
  • To facilitate the implementation of methods like the multilayer multiconfigurational time-dependent Hartree (MCTDH) and density matrix renormalization group (DMRG).

Main Methods:

  • Development of C++ class structures for tensors, tensor trees, and linear algebra operations.
  • Investigation of the efficiency of tensor and tensor network operations within the QuTree library.
  • Demonstration of QuTree's capabilities through simulations of coupled harmonic oscillator Hamiltonians and random quantum circuits.

Main Results:

  • QuTree offers efficient class structures for rapid development of TTN approaches.
  • The overhead for managing network structures in QuTree is negligible, even for large systems.
  • QuTree successfully computes eigenstates and simulates quantum circuits, demonstrating its practical applicability.

Conclusions:

  • QuTree provides a high-level, efficient, and accessible platform for researchers in quantum many-body physics and quantum computing.
  • The library's design balances ease of use with access to backend functionalities for novel research.
  • QuTree accelerates the development and application of advanced TTN methods.