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A NISQ Method to Simulate Hermitian Matrix Evolution.

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|July 27, 2022
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Summary
This summary is machine-generated.

This study proposes a new heuristic protocol for simulating Hermitian matrix evolution on noisy intermediate-scale quantum (NISQ) devices. The method uses shallow circuits and basic gates, offering an experiment-friendly approach for current quantum hardware.

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NISQmatrix evolutionquantum algorithm

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Area of Science:

  • Quantum Computing
  • Quantum Algorithms
  • Computational Physics

Background:

  • Universal quantum computers require millions of error-corrected qubits.
  • Noisy Intermediate-Scale Quantum (NISQ) devices are the focus for near-term quantum applications.
  • Simulating Hermitian matrix evolution is crucial for many quantum algorithms.

Purpose of the Study:

  • To propose a heuristic protocol for simulating Hermitian matrix evolution on NISQ devices.
  • To develop methods deployable on near-future quantum hardware.
  • To provide an experiment-friendly approach for leveraging current quantum capabilities.

Main Methods:

  • A NISQ module-layered circuit-based heuristic protocol.
  • Two embedded simulation methods requiring shallow circuits.
  • Utilization of basic quantum gates.

Main Results:

  • The proposed protocol effectively simulates Hermitian matrix evolution.
  • The methods are compatible with NISQ device constraints.
  • The protocol is designed for experimental implementation.

Conclusions:

  • The heuristic protocol offers a viable method for Hermitian matrix evolution simulation on NISQ devices.
  • This approach contributes to harnessing the potential of current quantum hardware.
  • The methods are practical for near-term quantum experiments.