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In-place implementation of Quantum-Gimli

Abstract

We present an in-place implementation of the cryptographic permutation \textbf{Gimli}, a NIST round 2 candidate for lightweight cryptography, and provide an upper bound for the required quantum resource in depth and gate-counts. In particular, we do not use any ancilla qubits and the state that our circuit produces is not entangled with any input. This offers further freedom in the usability and allows for a widespread use in different applications in a plug-and-play manner.

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