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Quantum Algorithms
Complete set of circuit equations for Stabilizer Quantum Mechanics
arXiv
Authors: André Ranchin, Bob Coecke
Year
2013
Paper ID
31173
Status
Preprint
Abstract Read
~2 min
Abstract Words
71
Citations
N/A
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.
Why This Paper Matters
- It adds a 2013 reference point for readers tracking recent quantum research.
- We find a sufficient set of equations between quantum circuits from which we can derive any other equation between stabilizer quantum circuits.
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