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quant-ph2005★ 1 cited
Nonbinary Quantum Reed-Muller Codes
Pradeep Kiran Sarvepalli, Andreas Klappenecker
We construct nonbinary quantum codes from classical generalized Reed-Muller codes and derive the conditions under which these quantum codes can be punctured. We provide a partial a…
quant-ph2003★ 11 cited
The simplified Toffoli gate implementation by Margolus is optimal
Guang Song, Andreas Klappenecker
Unitary operations are expressed in the quantum circuit model as a finite sequence of elementary gates, such as controlled-not gates and single qubit gates. We prove that the simpl…