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<p>Quantum walks (QWs) can be used as an arena to study the transition between the quantum and classical behaviors in general. We report that the quantum control makes QWs be in a coherent superposition of wave state and particle state with a relative phase between them, which is named as coherent wave-particle (W-P) QWs. Therefore, the continuous transition between the quantum and classical behaviors in both coherent and mixed ways can be achieved, and it is demonstrated by using the position distribution and variance. Further the coherent W-P QWs are implemented and the conceptual findings are confirmed with the IBM quantum computer.</p>

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Coherent wave-particle quantum walks

  • 期刊论文

  • 发表日期：

    2025年5月26日

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  • Rong Zhang,
  • Rusheng Qi,
  • Tianhao Chen,
  • Ping Xu

摘要

Quantum walks (QWs) can be used as an arena to study the transition between the quantum and classical behaviors in general. We report that the quantum control makes QWs be in a coherent superposition of wave state and particle state with a relative phase between them, which is named as coherent wave-particle (W-P) QWs. Therefore, the continuous transition between the quantum and classical behaviors in both coherent and mixed ways can be achieved, and it is demonstrated by using the position distribution and variance. Further the coherent W-P QWs are implemented and the conceptual findings are confirmed with the IBM quantum computer.