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Candidate for a Passively Protected Quantum Memory in Two Dimensions.

Simon Lieu1,2, Yu-Jie Liu3,4, Alexey V Gorshkov1,2

  • 1<a href="https://ror.org/04xz38214">Joint Quantum Institute</a>, <a href="https://ror.org/047s2c258">NIST/University of Maryland</a>, College Park, Maryland 20742, USA.

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Researchers developed a new photonic-Ising model for a passively protected quantum memory. This two-dimensional system uses a driven-dissipative environment to correct quantum errors like bit flips and phase flips.

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Area of Science:

  • Quantum Information Science
  • Condensed Matter Physics

Background:

  • Quantum error correction is crucial for building fault-tolerant quantum computers.
  • Existing passively protected quantum memories require high spatial dimensions (4D+) and are unstable at finite temperatures.

Purpose of the Study:

  • To propose a novel model for a passively protected quantum memory in two dimensions.
  • To explore a driven-dissipative environment for inherent error correction capabilities.

Main Methods:

  • Introduced the photonic-Ising model, utilizing a square lattice of photonic "cat qubits."
  • Employed Ising-like dissipators and a driven-dissipative photonic environment to address specific error types.
  • Investigated the role of Z_{2}-symmetry-broken phases in error correction.

Main Results:

  • The photonic-Ising model demonstrates passive correction against both bit-flip and phase-flip errors in 2D.
  • The scheme leverages local dissipative terms for error mitigation.
  • The model is inspired by distinct Z_{2}-symmetry-broken phases.

Conclusions:

  • The photonic-Ising model offers a viable pathway to stable, passively protected quantum memory in lower dimensions.
  • This approach provides a new strategy for quantum error correction using engineered environments.
  • Potential experimental realizations of the photonic-Ising model are discussed.