Decay Rate of the l 1 Norm Coherence in Single-Qubit Systems

We examine to what extent the l1 norm of coherence through an open quantum system is affected by noise. To discuss the effect of the noise, we give a definition of the decay rate of the l1 norm of coherence, i.e., the value of the coherence of initial states divided by the coherence of final states....

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Bibliographic Details
Published in:International journal of theoretical physics 2019-05, Vol.58 (5), p.1568-1575
Main Authors: Gao, Dongmei, Qiao-Ling, Xin, Zai-Liang Ye, Cai-Rong, He, Jin-Zhi Qiu
Format: Article
Language:English
Subjects:
Channels
Coherence
Decay rate
Depolarization
Matter & antimatter
Parameters
Quantum theory
Qubits (quantum computing)
Online Access:Get full text
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Summary:We examine to what extent the l1 norm of coherence through an open quantum system is affected by noise. To discuss the effect of the noise, we give a definition of the decay rate of the l1 norm of coherence, i.e., the value of the coherence of initial states divided by the coherence of final states. Then we use the measure of the decay of coherence to discuss to what extent several noisy channels affects the coherence. We find that the decay rate is independent of the initial state parameters but only related to parameters of the phase flip channels, the depolarizing channels, and the amplitude channels. However, the decay rate is related to the initial state parameters and parameters of the bit flip channels. Contrary to the view at first glance, we find that the bit flip channels even have cohering power.
ISSN:0020-7748
1572-9575
DOI:10.1007/s10773-019-04052-4