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Incoherent noise and quantum information processing.

N Boulant1, J Emerson, T F Havel

  • 1Department of Nuclear Engineering, Massachusetts Institute of Technology, Cambridge 02139, USA.

The Journal of Chemical Physics
|August 5, 2004
PubMed
Summary
This summary is machine-generated.

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Incoherence limits quantum control precision by causing artifacts in quantum process tomography. This study develops a method to extract the effective unitary distribution characterizing this incoherence.

Area of Science:

  • Quantum Information Science
  • Quantum Control Theory
  • Quantum Metrology

Background:

  • Incoherence in the controlled Hamiltonian is a key challenge for precise quantum information processing.
  • This incoherence is often modeled as a distribution of unitary processes due to fluctuating experimental parameters.

Purpose of the Study:

  • To investigate the impact of Hamiltonian incoherence on quantum process tomography.
  • To develop a method for characterizing and quantifying incoherence in quantum control.

Main Methods:

  • Analysis of artifacts introduced by incoherence in quantum process tomography.
  • Perturbation theory applied to superoperator eigenvalue spectra.
  • Development of an inverse problem approach to extract effective unitary distributions.

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Main Results:

  • Demonstration that incoherence introduces artifacts in quantum process tomography.
  • Identification that the superoperator estimate may not remain completely positive due to these artifacts.
  • Successful extraction of an effective unitary distribution characterizing incoherence.

Conclusions:

  • Hamiltonian incoherence significantly impacts the fidelity of quantum process tomography.
  • The proposed perturbation theory method effectively characterizes the underlying unitary distribution.
  • This work provides a pathway to better understand and mitigate decoherence effects in quantum systems.