Linear approximation of a vectorial Boolean function using quantum computing
Ashwini Kumar Malviya, Namita Tiwari
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.
Europhysics Letters (EPL)•Dec 30, 2020•10 citations