Quantum block coherence with respect to projective measurements

doi:10.1088/1674-1056/ad50c1

Abstract Quantum coherence serves as a defining characteristic of quantum mechanics, finding extensive applications in quantum computing and quantum communication processing. This study explores quantum block coherence in the context of projective measurements, focusing on the quantification of such coherence. Firstly, we define the correlation function between the two general projective measurements $P$ and $Q$, and analyze the connection between sets of block incoherent states related to two compatible projective measurements $P$ and $Q$. Secondly, we discuss the measure of quantum block coherence with respect to projective measurements. Based on a given measure of quantum block coherence, we characterize the existence of maximal block coherent states through projective measurements. This research integrates the compatibility of projective measurements with the framework of quantum block coherence, contributing to the advancement of block coherence measurement theory.

Keywords: quantum coherence compatibility projective measurement quantum block coherence

Received: 02 April 2024
Revised: 21 May 2024
Accepted manuscript online: 28 May 2024

PACS:	03.65.Aa	(Quantum systems with finite Hilbert space)
	03.67.-a	(Quantum information)

Fund: This research was partially supported by the National Natural Science Foundations of China (Grant No. 11901317), the China Postdoctoral Science Foundation (Grant No. 2020M680480), the Fundamental Research Funds for the Central Universities (Grant No. 2023MS078), and the Beijing Natural Science Foundation (Grant No. 1232021).

Corresponding Authors: Hui-Xian Meng
E-mail: huixianmenghd@ncepu.edu.cn

Cite this article:

Pu Wang(王璞), Zhong-Yan Li(李忠艳), and Hui-Xian Meng(孟会贤) Quantum block coherence with respect to projective measurements 2024 Chin. Phys. B 33 080308

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Quantum block coherence with respect to projective measurements

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