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Pseudo-Random Circuits from Clifford Plus T-Gates by Weinstein, Yaakov S. is a scholarly article available to read on EtoBox.

What is Pseudo-Random Circuits from Clifford Plus T-Gates about?

We explore the implementation of pseudo-random single-qubit rotations and multi-qubit pseudo-random circuits constructed only from Clifford gates and the T-gate, a phase rotation of pi/4. Such a gate set would be appropriate for computations performed in a fault tolerant setting. For single-qubit rotations the distribution of parameters found for unitaries constructed from Clifford plus T quickly approaches that of random rotations and require significantly fewer gates than the construction of arbitrary single-qubit rotations. For Clifford plus T pseudo-random circuits we find an exponential convergence to a random matrix element distribution and a Gaussian convergence to the higher order moments of the matrix element distribution. These convergence rates are insensitive to the number of qubits.

Author

Weinstein, Yaakov S.

Published

2013

Language

EN