Tech Notes

Pictorial Digital Quantum Circuits

Zlatko K. Minev

T11.7 · undated · 5 pages

A working reference of circuit diagram notation and the identities used to manipulate circuits. It covers the symbolic alphabet of wires, gates and measurements, how Paulis move through Clifford gates and cNOTs, Pauli-rotation conjugation, and measurement principles such as deferred and implicit measurement.

  • Symbol alphabet for wires, gates, noisy channels, controls and measurements
  • Pauli basis changes under H and S, and pushing Paulis through cNOT and controlled-Pauli gates
  • cNOT, cZ and SWAP identities and Pauli-rotation gates such as R_ZZ
  • Measurement identities: basis changes, deferred and implicit measurement, readout bit flips

Summary and key points drafted by a language model from the slides, not yet reviewed by me. The slides are the source.

Cite

@techreport{minevndt117,
  author = {Zlatko K. Minev},
  title = {{Pictorial Digital Quantum Circuits}},
  type = {Technical Note},
  number = {T11.7},
  institution = {Zlatko's Quantum Notebook},
  url = {https://zlatko-minev.github.io/zlatko-minev-quantum-repository/items/t11-7-pictorial-digital-quantum-circuits/}
}

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First page of Pictorial Digital Quantum Circuits