Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
SIAM Journal on Computing
Quantum Computation and Quantum Information: 10th Anniversary Edition
Quantum Computation and Quantum Information: 10th Anniversary Edition
Universal quantum computing in linear nearest neighbor architectures
Quantum Information & Computation
Optimal realizations of controlled unitary gates
Quantum Information & Computation
On the Reliability of Majority Gates Full Adders
IEEE Transactions on Nanotechnology
A nearest neighbor architecture to overcome dephasing
Quantum Information Processing
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We present a new scheme to implement an N-qubit controlled-unitary operation directly in a single step. The main advantage of our scheme is that we do not use conventional gate decomposition protocols to break an N-qubit controlled-unitary gate into one- and two-qubit gates. This greatly reduces the number of computational steps in implementing quantum algorithms and error-correcting codes, which use multi-control unitary operations. We show how to find analytic solutions to the time evolution of the system, so that system parameters can be found to realize the desired N-qubit controlled-unitary operations.