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Area of Science:

  • Quantum computing and quantum information science.
  • Superconducting circuit quantum electrodynamics.

Background:

  • Josephson oscillators coupled to superconducting qubits exhibit complex bifurcation behavior.
  • The dynamic equilibrium state of the oscillator is sensitive to the qubit's quantum state.

Purpose of the Study:

  • To present a novel measurement method for superconducting qubit superposition states.
  • To investigate the quantum-mechanical behavior and entanglement dynamics between a bifurcation oscillator and a qubit.

Main Methods:

  • Studying the bifurcation behavior of a high-quality (high-Q) Josephson oscillator coupled to a superconducting qubit.
  • Analyzing the influence of qubit states on oscillator transition probabilities near the classical separatrix.
  • Investigating quantum-mechanical aspects of the bifurcation oscillator and entanglement mechanisms.

Main Results:

  • The capture probability into dynamic equilibrium is demonstrably sensitive to qubit states.
  • A new measurement method for qubit superposition states is proposed, exploiting this sensitivity.
  • Optimal parameters for driving current and oscillator state were identified for high-precision one-qubit gates with minimal back-action.
  • A protocol for measuring state populations of entangled qubit-oscillator systems was developed.

Conclusions:

  • The proposed measurement method offers a sensitive approach to detecting qubit superposition states.
  • Understanding the quantum-mechanical behavior of the bifurcation oscillator is crucial for qubit-oscillator entanglement.
  • The findings facilitate the development of precise quantum gates and measurement protocols in superconducting circuits.