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Updated: Jun 18, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Tight noise thresholds for quantum computation with perfect stabilizer operations.

Wim van Dam1, Mark Howard

  • 1Department of Computer Science, University of California, Santa Barbara, California 93106, USA. vandam@cs.ucsb.edu

Physical Review Letters
|November 13, 2009
PubMed
Summary
This summary is machine-generated.

We found a specific noise threshold for single-qubit gates, determining if they support universal quantum computation or can be simulated by simpler Clifford gates. This threshold is precisely defined by the Clifford polytope.

Related Experiment Videos

Last Updated: Jun 18, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
09:23

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

Published on: May 30, 2014

Area of Science:

  • Quantum Information Science
  • Quantum Computing Theory

Background:

  • Quantum computation relies on universal gate sets.
  • Noise can degrade quantum computational power.
  • Distinguishing between universal gates and those simulable by Clifford gates is crucial for error correction.

Purpose of the Study:

  • To determine the noise tolerance of universal gate sets.
  • To identify the precise noise threshold for single-qubit non-stabilizer gates.
  • To compare noise thresholds for gates versus states.

Main Methods:

  • Analysis of quantum circuits with perfect stabilizer operations and imperfect non-stabilizer gates.
  • Mathematical proof for the existence of a tight depolarizing noise threshold.
  • Characterization of the threshold using the Clifford polytope of single-qubit Clifford gates.

Main Results:

  • A tight depolarizing noise threshold exists for all unitary single-qubit gates.
  • This threshold dictates whether a gate enables universal quantum computation.
  • The threshold is precisely determined by the Clifford polytope, comprising 24 single-qubit Clifford gates.

Conclusions:

  • The identified noise threshold provides a clear boundary for quantum computational power in single-qubit gates.
  • This finding contrasts with non-stabilizer qubit states, where thresholds are not precisely known.
  • The study offers a rigorous framework for understanding noise limitations in quantum computation.