Volume 129, Number 6, March 2020
|Number of page(s)||5|
|Published online||27 April 2020|
The reduction of the number of incoherent Kraus operations for qutrit systems
1 College of the Science, China University of Petroleum - 266580 Qingdao, China
2 School of Mathematical Sciences, Capital Normal University - 100048 Beijing, China
3 Max-Planck-Institute for Mathematics in the Sciences - 04103 Leipzig, Germany
Received: 3 February 2020
Accepted: 9 April 2020
Quantum coherence is a fundamental property that can emerge within any quantum system. Incoherent operations, defined in terms of the Kraus decomposition, play an important role in state transformation. The maximum number of incoherent Kraus operators has been presented in Streltsov A., Rana S., Boes P. and Eisert J., Phys. Rev. Lett., 119 (2017) 140402. 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.
PACS: 03.67.-a – Quantum information / 02.20.Hj – Classical groups / 03.65.-w – Quantum mechanics
© EPLA, 2020
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