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This study reveals that only one quantum trajectory survives long-term evolution in open cavity systems. Analyzing photocounts and duration allows robust inference of the final Fock state for quantum applications.

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Area of Science:

  • Quantum optics
  • Quantum information theory
  • Open quantum systems

Background:

  • Understanding open quantum systems is vital for quantum technology.
  • Quantum trajectories describe system evolution influenced by environment.
  • Cavity modes with photon emission/absorption exhibit complex dynamics.

Purpose of the Study:

  • To analyze multistate quantum jumps in an open cavity mode.
  • To identify the dominant quantum trajectory in long-term evolution.
  • To develop a method for inferring the final Fock state.

Main Methods:

  • Simulating quantum trajectories for an open cavity mode.
  • Analyzing photon emission and absorption events.
  • Processing input/output photocounts and trajectory duration.

Main Results:

  • Only one quantum trajectory persists through extended single-run evolution.
  • The final Fock state is determinable from photocount records and duration.
  • A robust protocol for Fock state inference is established.

Conclusions:

  • The study identifies a unique surviving trajectory in open quantum systems.
  • Photocount data provides a key to inferring quantum states.
  • The proposed protocol offers a valuable tool for quantum applications.