Coherence and entanglement in Grover and Harrow–Hassidim–Lloyd algorithm

Changchun Feng, Lin Chen and Li-Jun Zhao

Physica A: Statistical Mechanics and its Applications, 2023, vol. 626, issue C

Abstract: Coherence, discord and geometric measure (GM) of entanglement are important tools for measuring physical resources. We compute them at every steps of the Grover’s algorithm. We summarize these resources’s patterns of change. These resources are getting smaller at the step oracle and are getting bigger or invariant at the step diffuser. This result is similar to the entanglement’s pattern of change in Grover’s algorithm. Furthermore, we compute GM at every steps of the Harrow–Hassidim–Lloyd (HHL) algorithm.

Keywords: Quantum information; Entanglement; Coherence; Discord; Geometric measure of entanglement (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437123006039
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:626:y:2023:i:c:s0378437123006039

DOI: 10.1016/j.physa.2023.129048

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().