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Mapping the optimal route between two quantum states.

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Researchers reconstructed individual quantum trajectories in superconducting circuits, revealing the most probable path between states. This work informs optimal quantum control methods for state steering and information processing.

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Area of Science:

  • Quantum mechanics
  • Quantum information processing
  • Superconducting circuits

Background:

  • Quantum measurements are probabilistic and perturb system evolution.
  • Controlling quantum systems amid measurement fluctuations is crucial for quantum technologies.
  • Understanding stochastic quantum evolution is key for developing advanced control strategies.

Purpose of the Study:

  • To reconstruct individual quantum trajectories in a superconducting circuit.
  • To identify the most probable path between quantum states under continuous measurement and driving.
  • To reveal optimal control signals for quantum state manipulation.

Main Methods:

  • Reconstruction of individual quantum trajectories.
  • Pre- and post-selection of quantum states.
  • Analysis of stochastic evolution under weak measurement and Rabi drive.
  • Application of a principle of least action.

Main Results:

  • Successfully reconstructed individual quantum trajectories for a superconducting circuit.
  • Deduced the most probable path through quantum state space between specified initial and final states.
  • Identified an optimal, time-continuous detector signal for state control.
  • Demonstrated the interplay between measurement dynamics and unitary evolution.

Conclusions:

  • The study reveals optimal routes for quantum state transitions, informing new control methods.
  • The findings provide insights into the dynamics of quantum measurement and unitary evolution.
  • This research may advance quantum control for state steering and information processing applications.