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Direct implementation of an N-qubit controlled-unitary gate in a single step

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Abstract

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.

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Abbreviations

LNN:

Linear nearest neighbor

CNOT:

Controlled-NOT

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  1. Department of Electrical Engineering and Computer Science, Wichita State University, Wichita, KS, 67260, USA

    Preethika Kumar

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  1. Preethika Kumar
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Correspondence to Preethika Kumar.

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Kumar, P. Direct implementation of an N-qubit controlled-unitary gate in a single step. Quantum Inf Process 12, 1201–1223 (2013). https://doi.org/10.1007/s11128-012-0465-9

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  • DOI: https://doi.org/10.1007/s11128-012-0465-9

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