Reduced Gate Count for Quantum State Preparation of 2D Data

Résumé fourni par la source

This work proposes an efficient quantum state preparation technique for non-independent 2D data. Demonstrated on the DCT, the method performs a change of basis on the data source, compresses it, prepares a quantum state to represent the compressed data, and performs the inverse basis change using an efficient quantum circuit, recreating the original source. We show how the gate count for a quantum circuit to prepare a state representing image data can be reduced by 75% achieving good image quality (PSNR 30), and by 50% retaining very good image quality (PSNR 40). The approach lends itself to achieving similar scale gate count reductions for other transforms, including those with efficient quantum circuit implementations (such as the QFT and QWT).

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