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Quantum walk processes in quantum devices.

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This study explores simulating quantum walks on quantum computers. Researchers developed methods to represent graph-based quantum walks as quantum circuits for efficient implementation on Noisy Intermediate-Scale Quantum devices.

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Area of Science:

  • Quantum Information Science
  • Computer Science
  • Physics

Background:

  • Noisy Intermediate-Scale Quantum (NISQ) devices are at the forefront of quantum computing research.
  • Quantum walks are fundamental to many quantum algorithms and simulating physical phenomena.
  • Classical simulation of quantum walks is computationally intensive.

Purpose of the Study:

  • To investigate the connection between quantum walks on graphs and quantum circuits.
  • To explore efficient methods for simulating quantum walks on current quantum hardware.
  • To bridge the gap between graph theory and quantum circuit implementation.

Main Methods:

  • Analyzing the relationship between graph structures and quantum circuit designs.
  • Developing techniques to map quantum walk processes onto quantum circuits.
  • Investigating specific graph types, including hypercubes and arbitrary graphs.

Main Results:

  • Established methods for deriving graphs from given quantum circuits.
  • Demonstrated techniques for representing graph quantum walks as quantum circuits.
  • Provided a framework for implementing quantum walks on quantum computers.

Conclusions:

  • The developed approach facilitates the efficient implementation of quantum walk algorithms on NISQ devices.
  • Understanding the interplay between graphs and circuits is key to advancing quantum computation.
  • This research paves the way for practical applications of quantum walks.