11 citations · 12 across the 3 of their papers we have counts for
4 papers
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…
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…
Optimal Realizations of Controlled Unitary Gates
Guang Song, Andreas Klappenecker
The controlled-not gate and the single qubit gates are considered elementary gates in quantum computing. It is natural to ask how many such elementary gates are needed to implement…
The Universality of the Quantum Fourier Transform in Forming the Basis of Quantum Computing Algorithms
Charles M. Bowden, Goong Chen, Zijian Diao +1
The quantum Fourier transform (QFT) is a powerful tool in quantum computing. The main ingredients of QFT are formed by the Walsh-Hadamard transform H and phase shifts P(.), both of…