The reduction of the number of incoherent Kraus operations for qutrit systems

Autor:	Qiao, Jiahuan, Sun, Lingyun, Wang, Jing, Li, Ming, Shen, Shuqian, Li, Lei, Fei, Shaoming
Rok vydání:	2020
Předmět:	Quantum Physics
Zdroj:	EPL, 129 (2020) 60006
Druh dokumentu:	Working Paper
DOI:	10.1209/0295-5075/129/60006
Popis:	Quantum coherence is a fundamental property that can emerge within any quantum system. Incoherent operations, defined in terms of the Kraus decomposition, take an important role in state transformation. The maximum number of incoherent Kraus operators has been presented in [A. Streltsov, S. Rana, P. Boes, J. Eisert, Phys. Rev. Lett. 119. 140402 (2017)]. In this work, we show that the number of incoherent Kraus operators for a single qubit can be reduced from 5 to 4 by constructing a proper unitary matrix. For qutrit systems we further obtain 32 incoherent Kraus operators, while the upper bound in the research of Sterltsov gives 39 Kraus operators. Besides, we reduce the number of strictly incoherent Kraus operators from more than 15 to 13. And we consider the state transformation problem for these two types of operations in single qutrit systems. Comment: 11pages,4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2005.01083 Zobrazit plný text záznamu View this record from Arxiv