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Related Experiment Videos

Dynamical generation of noiseless quantum subsystems

Viola1, Knill, Lloyd

  • 1d'Arbeloff Laboratory for Information Systems and Technology, Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA.

Physical Review Letters
|October 13, 2000
PubMed
Summary

We developed a method combining quantum control and coding to protect quantum systems from noise. This allows for universal quantum computation even with limited resources and arbitrary linear noise.

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Area of Science:

  • Quantum Information Science
  • Quantum Control Theory
  • Quantum Error Correction

Background:

  • Open quantum systems are susceptible to noise, hindering reliable quantum computation.
  • Existing methods for noise protection often require significant control resources or are limited in scope.

Purpose of the Study:

  • To develop a unified framework for universal quantum control of open quantum systems.
  • To engineer noise-protected subsystems using coding procedures and dynamical decoupling.
  • To demonstrate the feasibility of quantum computation in the presence of arbitrary linear quantum noise.

Main Methods:

  • Combining dynamical decoupling techniques with universal control strategies.
  • Employing a general algebraic approach for state encoding.

Related Experiment Videos

  • Utilizing two-body Hamiltonians for constructing quantum gates.
  • Main Results:

    • Achieving universal control over dynamically generated noise-protected subsystems.
    • Demonstrating that appropriate state encodings enable robust quantum computation.
    • Developing a constructive scheme for universal quantum computation over large noiseless spaces.

    Conclusions:

    • The proposed method offers a powerful approach to building fault-tolerant quantum computers.
    • This technique allows for efficient quantum computation despite environmental noise.
    • The framework is applicable to systems with arbitrary linear quantum noise and limited control resources.