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Experimental Verification of Dissipation-Time Uncertainty Relation.

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This study experimentally verifies the dissipation-time uncertainty relation in a trapped ion. This fundamental thermodynamic trade-off limits the speed of quantum operations due to energy dissipation.

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Area of Science:

  • Quantum Thermodynamics
  • Nonequilibrium Statistical Mechanics
  • Quantum Information Processing

Background:

  • Dissipation is crucial for cyclic processes in realistic systems.
  • Nonequilibrium processes in stochastic systems reveal a dissipation-time uncertainty relation.
  • This relation links entropy production rate to the pace of physical processes.

Purpose of the Study:

  • To experimentally verify the dissipation-time uncertainty relation.
  • To investigate the trade-off between dissipation and the speed of quantum operations.
  • To confirm the thermodynamic speed limit imposed by dissipation on quantum information processing.

Main Methods:

  • Utilized a single trapped ultracold ^{40}Ca^{+} ion as a quantum system.
  • Employed elaborately designed dissipative channels to control energy transfer.
  • Developed a postprocessing method for data analysis to build effective nonequilibrium stochastic evolutions.

Main Results:

  • Successfully experimentally verified the dissipation-time uncertainty relation.
  • Demonstrated the constraint on quantum speed imposed by entropy flux due to dissipation.
  • Provided the first experimental evidence of this thermodynamic speed restriction on quantum operations.

Conclusions:

  • The study confirms a fundamental thermodynamic trade-off limiting the speed of quantum processes.
  • Experimental validation of the dissipation-time uncertainty relation deepens understanding of thermodynamics in quantum information.
  • Findings highlight the critical role of dissipation in governing the dynamics and speed of quantum operations.