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Related Experiment Videos

Principles of control for decoherence-free subsystems.

P Cappellaro1, J S Hodges, T F Havel

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

The Journal of Chemical Physics
|September 1, 2006
PubMed
Summary
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Protecting quantum information using decoherence-free subsystems (DFSs) is advanced by controlling noise. This study shows how dynamical decoupling and modulated pulses enable high-fidelity quantum gates on DFS-encoded qubits, even with unavoidable system excursions.

Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Quantum Error Correction

Background:

  • Decoherence-free subsystems (DFSs) offer a robust method for safeguarding quantum information against noise, particularly when noise possesses known symmetry properties.
  • Theoretical frameworks exist for universal logic gates on DFS-encoded qubits within the subsystem, but practical implementations often face limitations due to natural Hamiltonians.
  • Operating on encoded qubits without compromising DFS protection is crucial for realizing fault-tolerant quantum computation.

Purpose of the Study:

  • To present principles for operating on encoded qubits within DFSs when natural Hamiltonians prevent confinement.
  • To explore the use of dynamical decoupling to manage decoherence during necessary excursions outside the DFS.
  • To demonstrate practical methods for high-fidelity quantum gate operations on DFS-encoded qubits in realistic scenarios.

Related Experiment Videos

Main Methods:

  • Application of dynamical decoupling techniques to mitigate decoherence during qubit operations.
  • Utilizing cumulant expansions to analyze the dependence of quantum gate fidelity on noise correlation time for a two-physical-qubit DFS.
  • Employing numerical simulations of 'strongly modulating pulses' for Nuclear Magnetic Resonance (NMR) quantum information processing.

Main Results:

  • Fidelity of quantum gates implemented via dynamical decoupling is shown to be dependent on the correlation time of the noise.
  • Numerical simulations confirm that 'strongly modulating pulses' can achieve high-fidelity operations on multiple DFS-encoded qubits.
  • Successful operations are contingent on the modulation rate being significantly faster than the noise correlation time.

Conclusions:

  • Dynamical decoupling and strongly modulating pulses provide effective strategies for controlling decoherence and performing operations on DFS-encoded qubits.
  • The presented principles are broadly applicable to various quantum information processor implementations utilizing DFS-encoded qubits.
  • This work advances the practical realization of robust quantum computation by addressing limitations in Hamiltonian control.