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Tripartite Entanglement and Matrix Inversion Quantum Algorithm by Hwang, Mi-Ra; Kim, MuSeong; Jung, Eylee; Woo, Chang-Yong; Park, DaeKil is a scholarly article available to read on EtoBox.

What is Tripartite Entanglement and Matrix Inversion Quantum Algorithm about?

The role of entanglement is discussed in the Harrow-Hassidim-Lloyd (HHL) algorithm. We compute all tripartite entanglement at every steps of the HHL algorithm. The tripartite entanglement is generated in the first quantum phase estimation (QPE) step. However, it turns out that amount of the generated entanglement is not maximal except very rare cases. In the second rotation step some tripartite entanglement is annihilated. Thus, the net tripartite entanglement is diminished. At the final inverse-QPE step the matrix inversion task is completed at the price of complete annihilation of the entanglement. An implication of this result is discussed.

Author

Hwang, Mi-Ra; Kim, MuSeong; Jung, Eylee; Woo, Chang-Yong; Park, DaeKil

Published

2022

Language

EN