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<p>The implementation of information processing on a quantum device is a fundamental challenge for many technologies. As a matter of fact, the faster one wants to implement a quantum operation, the higher is the thermodynamic cost of realizing the quantum process. Here, we theoretically propose and experimentally verify a trade-off between quantum speed and energy cost using Schatten 2-norm. Our findings demonstrate that this trade-off remains tight for any instant of time, whether dealing with initial eigenstates or initial thermal equilibrium states, as illustrated by the Landau-Zehner model. This observation underscores the significance of coherence of the evolved states. By extending our method to open system, we find that quantum speed can be significantly affected by environmental decoherence effect. These results illuminate the fundamental limits of quantum state dynamics and hold promise for potential applications in quantum sensing and quantum computing.</p>

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Experimental investigation of the trade-off between quantum speed and energy cost

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年11月28日

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  • Yang Dong,
  • Wang Jiang,
  • Zhi-Wei Liu,
  • Yong Liu,
  • Shao-Chun Zhang,
  • Diego Paiva Pires,
  • Diogo O. Soares-Pinto,
  • Xiang-Dong Chen,
  • Guang-Can Guo,
  • Fang-Wen Sun

摘要

The implementation of information processing on a quantum device is a fundamental challenge for many technologies. As a matter of fact, the faster one wants to implement a quantum operation, the higher is the thermodynamic cost of realizing the quantum process. Here, we theoretically propose and experimentally verify a trade-off between quantum speed and energy cost using Schatten 2-norm. Our findings demonstrate that this trade-off remains tight for any instant of time, whether dealing with initial eigenstates or initial thermal equilibrium states, as illustrated by the Landau-Zehner model. This observation underscores the significance of coherence of the evolved states. By extending our method to open system, we find that quantum speed can be significantly affected by environmental decoherence effect. These results illuminate the fundamental limits of quantum state dynamics and hold promise for potential applications in quantum sensing and quantum computing.