Quantum Error Correction

A guided research project in Quantum Computing.

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Experience Research Quantum Computing

Question

How can a logical qubit be protected without directly measuring its unknown state?

Redundancy reveals the error pattern while leaving the protected quantum information hidden.
Redundancy reveals the error pattern while leaving the protected quantum information hidden.
A surface-code lattice containing highlighted error paths.
A sample surface-code error configuration from the project source.
A surface-code lattice after an error-correction step.
The corresponding correction selected by the decoder.
A plot of logical error behaviour from repeated decoding trials.
Simulation results used to evaluate the correction method.

Goals

  • Encode a logical qubit and detect selected physical errors.
  • Apply corrections and measure the code's failure rate.

Method

Store logical information across several qubits and measure only error syndromes.

  • Choose a repetition, stabilizer, or small surface code.
  • Build the encoding, error, syndrome, and recovery circuits.
  • Simulate different noise levels and compare physical and logical error rates.