A Taxonomy of Small Markovian Errors
Robin Blume-Kohout, Marcus P. da Silva, Erik Nielsen, Timothy Proctor, Kenneth Rudinger, Mohan Sarovar, Kevin Young · PRX Quantum · 2022
Errors in quantum logic gates are usually modeled by quantum process matrices (CPTP maps).But process matrices can be opaque and unwieldy.We show how to transform the process matrix of a gate into an error generator that represents the same information more usefully.We construct a basis of simple and physically intuitive elementary error generators, classify them, and show how to represent the error generator of any gate as a mixture of elementary error generators with various rates.Finally, we show how to build a large variety of reduced models for gate errors by combining elementary error generators and/or entire subsectors of generator space.We conclude with a few examples of reduced models, including one with just 9N 2 parameters that describes almost all commonly predicted errors on an N -qubit processor.