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Chemical Reaction Simulator on Quantum Computers by First Quantization (II)─Basic Treatment: Implementation.

Hideo Takahashi1, Tatsuya Tomaru2, Toshiyuki Hirano3

  • 1Department of Mechanical Engineering, School of Engineering, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan.

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Researchers developed crsQ, a quantum circuit generator for chemical simulations. This tool enables quantum computation for chemical reactions, offering a novel approach to quantum chemistry simulations.

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Area of Science:

  • Quantum Computing
  • Computational Chemistry
  • Quantum Simulation

Background:

  • Quantum computing offers potential for complex chemical simulations.
  • Existing quantum circuit implementations for chemical simulation are limited.
  • Grid-based first quantization methods show promise for chemical simulation.

Purpose of the Study:

  • To present crsQ, a novel quantum circuit generator for chemical reaction simulation.
  • To enable antisymmetrization and time-evolution of wave functions on quantum circuits.
  • To implement the potential energy term of the Hamiltonian using arithmetic gates.

Main Methods:

  • Developed crsQ, a quantum circuit generator.
  • Implemented antisymmetrization and Suzuki-Trotter decomposition for time-evolution.
  • Utilized arithmetic gates (adders, multipliers, etc.) for the Hamiltonian's potential energy term.
  • Designed temporary qubit allocation and abstract syntax tree frameworks for large-scale circuits.

Main Results:

  • crsQ generates quantum circuits for chemical simulators.
  • The number of qubits scales as O(η log η), where η is the number of electrons.
  • All circuit components were verified through unit tests.
  • Novel frameworks were developed to facilitate large-scale quantum circuit generation.

Conclusions:

  • crsQ provides a published implementation of a grid-based first quantization chemical simulator.
  • The developed frameworks aid in the creation of complex, large-scale quantum circuits.
  • This work advances the application of quantum computing in chemical simulation.