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Complete set of circuit equations for Stabilizer Quantum Mechanics

Authors
  • Ranchin, André
  • Coecke, Bob
Type
Published Article
Publication Date
Apr 16, 2014
Submission Date
Oct 29, 2013
Identifiers
DOI: 10.1103/PhysRevA.90.012109
Source
arXiv
License
Yellow
External links

Abstract

We find a sufficient set of equations between quantum circuits from which we can derive any other equation between stabilizer quantum circuits. To establish this result, we rely upon existing work on the completeness of the graphical ZX language for quantum processes. The complexity of the circuit equations, as opposed to the very intuitive reading of the much smaller number of ZX-equations, advocates the latter for performing computations with quantum circuits.

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