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arXiv · 2311.11329

Matrix manipulations via unitary transformations and ancilla-state measurements

Alexander I. Zenchuk·Wentao Qi·Asutosh Kumar·Junde Wu
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Abstract

We propose protocols for calculating inner product, matrix addition and matrix multiplication based on multiqubit Toffoli-type and the simplest one-qubit operations and employ ancilla measurements to remove all garbage of calculations. The depth (runtime) of the addition protocol is $O(1)$ and that of other protocols logarithmically increases with the dimensionality of the considered matrices.

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Alexander I. Zenchuk, Wentao Qi, Asutosh Kumar, Junde Wu. 2023-11-19. Matrix manipulations via unitary transformations and ancilla-state measurements. https://doi.org/10.26421/qic24.13-14-2

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