Matrix manipulations via unitary transformations and ancilla-state measurements

Autor:	Zenchuk, Alexander I., Qi, Wentao, Kumar, Asutosh, Wu, Junde
Rok vydání:	2023
Předmět:	Quantum Physics
Druh dokumentu:	Working Paper
Popis:	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. Comment: 5 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2311.11329 Zobrazit plný text záznamu View this record from Arxiv