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Paper 1
Pseudo-Random Circuits from Clifford Plus T-Gates
Yaakov S. Weinstein
- Year
- 2013
- Journal
- arXiv preprint
- DOI
- arXiv:1309.3943
- arXiv
- 1309.3943
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.
Open paperPaper 2
Clustered error correction of codeword-stabilized quantum codes.
Li Y, Dumer I, Pryadko LP.
- Year
- 2010
- Journal
- Phys Rev Lett
- DOI
- 10.1103/physrevlett.104.190501
- arXiv
- -
No abstract.
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