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Possible spell-corrected query: hhe
2024/1547 (PDF) Last updated: 2024-10-03
HHL for tensor-decomposable matrices
Cezary Pilaszewicz, Marian Margraf
Attacks and cryptanalysis

We use the HHL algorithm to retrieve a quantum state holding the algebraic normal formal of a Boolean function. Unlike the standard HHL applications, we do not describe the cipher as an exponentially big system of equations. Rather, we perform a set of small matrix inversions which corresponds to the Boolean Möbius transform. This creates a superposition holding information about the ANF in the form: $\ket{\mathcal{A}_{f}} =\frac{1}{C} \sum_{I=0}^{2^n-1} c_I \ket{I}$, where $c_I$ is the...

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