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Gradient Echo Quantum Memory in Warm Atomic Vapor
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Published on: November 11, 2013

Capabilities of a perturbed toric code as a quantum memory.

Alastair Kay1

  • 1Centre for Quantum Technologies, National University of Singapore, Singapore.

Physical Review Letters
|January 17, 2012
PubMed
Summary
This summary is machine-generated.

We analyzed how unknown errors affect quantum memory using the 2D toric code. Information survival time increases with system size for many errors, but a uniform magnetic field limits this.

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Area of Science:

  • Quantum information science
  • Condensed matter physics

Background:

  • The 2D toric code is a leading candidate for quantum memory due to its topological properties.
  • Understanding the impact of perturbations is crucial for assessing its practical viability.

Purpose of the Study:

  • To investigate the effect of typical, unknown perturbations on the 2D toric code as a quantum memory.
  • To analyze how error correction influences readout and information survival.

Main Methods:

  • Transformation of the 2D toric code into a 1D transverse Ising model undergoing an instantaneous quench.
  • Application of Lieb-Robinson bounds to analyze system dynamics and information decay.

Main Results:

  • Proved that for a broad range of perturbations, the survival time of stored quantum information scales at least logarithmically with system size.
  • Demonstrated that a uniform magnetic field leads to saturation of this scaling behavior.
  • Showed that randomizing stabilizer strengths results in a polynomial survival time, with the degree dependent on perturbation strength.

Conclusions:

  • The 2D toric code exhibits robust quantum memory properties against a wide class of perturbations.
  • System size and perturbation characteristics significantly influence information survival time, with specific cases like uniform magnetic fields showing distinct scaling.