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This summary is machine-generated.

Flying quantum systems can lose coherence due to spatial spread. This study quantifies decoherence for flying qubits, finding it less severe for qubits in moving potentials.

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Area of Science:

  • Quantum physics
  • Quantum information science
  • Atomic, molecular, and optical physics

Background:

  • Implementing time-dependent Hamiltonians is crucial for quantum gates.
  • Spatial spread in flying quantum systems can cause entanglement and decoherence.
  • This decoherence affects the internal state dynamics of quantum systems.

Purpose of the Study:

  • To provide formulas for the dynamics, fidelity, and entropy change of flying quantum systems.
  • To analyze the non-Markovian decoherence in ballistic particles with small spatial spreads.
  • To compare decoherence in ballistic qubits versus qubits in moving potentials.

Main Methods:

  • Derivation of time-dependent formulas for dynamics, fidelity, and entropy.
  • Analysis of decoherence scaling with spatial spread (Δx).
  • Investigation of decoherence for ballistic particles and particles in moving potentials.

Main Results:

  • Formulas are provided for all times, valid for small spatial spreads (Δx).
  • Non-Markovian decoherence scales as Δx² for ballistic qubits.
  • Decoherence scales as Δx⁶ for qubits in moving potentials, showing significant reduction.
  • A method to counteract decoherence for measured ballistic qubits is discussed.

Conclusions:

  • Spatial spread in flying quantum systems leads to non-Markovian decoherence.
  • Moving potential wells significantly suppress decoherence compared to ballistic flight.
  • The findings offer insights into preserving quantum states during dynamic implementations.