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Coulomb's Law01:30

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Inelastic backaction due to quantum point contact charge fluctuations.

C E Young1, A A Clerk

  • 1Department of Physics, McGill University, Montreal, Quebec, Canada H3A 2T8.

Physical Review Letters
|May 21, 2010
PubMed
Summary
This summary is machine-generated.

We theoretically investigate qubit transitions in double quantum dots due to quantum point contact (QPC) detector noise. Our findings reveal a fundamental link to Heisenberg backaction and establish a lower bound for transition rates.

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Area of Science:

  • Quantum Computing
  • Mesoscopic Physics
  • Quantum Information

Background:

  • Double quantum-dot qubits are sensitive to external noise.
  • Quantum point contacts (QPCs) are used as detectors but introduce measurement backaction.
  • Understanding this backaction is crucial for qubit stability and control.

Purpose of the Study:

  • To theoretically analyze qubit transitions induced by QPC nonequilibrium charge fluctuations.
  • To establish a connection between these transitions and the Heisenberg uncertainty principle.
  • To differentiate between charge noise and shot noise backaction mechanisms.

Main Methods:

  • Theoretical modeling of double quantum-dot qubit transitions.
  • Application of the uncertainty principle to derive transition rate bounds.
  • Derivation of transition rate expressions for a mesoscopic conductor QPC model with RPA screening.
  • Numerical simulations to distinguish noise mechanisms.

Main Results:

  • Qubit transitions are fundamentally linked to Heisenberg backaction.
  • A lower bound on transition rates is derived using the uncertainty principle.
  • Simple expressions for transition rates are obtained for a standard QPC model.
  • Charge noise and shot noise backaction can be distinguished in QPCs with nonadiabatic potentials.

Conclusions:

  • The study provides a theoretical framework for understanding measurement-induced qubit transitions.
  • Distinguishing charge noise and shot noise is possible, offering insights for qubit readout.
  • The sensitivity of charge noise to QPC potential is explained via interference effects, analogous to Friedel oscillations.