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Quantum Advantage with Shallow Circuits by Rusty AF is a document available to read on EtoBox.

1) The document presents a problem called the 2D Hidden Linear Function problem that aims to identify a linear function hidden within a quadratic form specified by a binary matrix and vector. 2) The authors prove that any classical probabilistic circuit with bounded fan-in gates requires depth logarithmic in the input size to solve this problem with high probability, whereas the problem can be solved with certainty by a constant-depth quantum circuit acting on a 2D grid. 3) The main contribution is a de

Author
Rusty AF
Language
EN