Volume 132, Number 4, November 2020
|Number of page(s)||6|
|Published online||30 December 2020|
Linear approximation of a vectorial Boolean function using quantum computing
Maulana Azad National Institute of Technology - Bhopal, MP 462042, India
Received: 14 August 2020
Accepted: 22 October 2020
A vectorial Boolean function takes multi-bit input and produces a multi-bit output. According to the input parameters, a vectorial Boolean function can be linear or non-linear. Non-linear vectorial Boolean functions have high importance in information theory and cryptology. Finding a linear approximation of a non-linear vectorial Boolean function is of high significance in these areas. Assuming that the quantum access to a vectorial Boolean function is provided, we present a quantum computing approach which can find the best linear approximation of the non-linear vectorial Boolean functions. The presented quantum approach is exponentially better than any known solution on the factors of querying the function, quantum circuit depth and memory requirements.
PACS: 03.67.Lx – Quantum computation architectures and implementations / 03.67.-a – Quantum information / 03.65.-w – Quantum mechanics
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