Mixed States, Open Systems, and the Density Operator

2010 ◽  
Vol 82 (6) ◽  
Author(s):  
Yanyan Jiang ◽  
Y. H. Ji ◽  
Hualan Xu ◽  
Li-yun Hu ◽  
Z. S. Wang ◽  
...  

Entropy ◽  
2021 ◽  
Vol 23 (11) ◽  
pp. 1514
Author(s):  
Jiaqiang Zhao ◽  
Meijiao Wang ◽  
Lianzhen Cao ◽  
Yang Yang ◽  
Xia Liu ◽  
...  

Knowing the level of entanglement robustness against quantum bit loss or decoherence mechanisms is an important issue for any application of quantum information. Fidelity of states can be used to judge whether there is entanglement in multi-particle systems. It is well known that quantum channel security in QKD can be estimated by measuring the robustness of Bell-type inequality against noise. We experimentally investigate a new Bell-type inequality (NBTI) in the three-photon Greenberger–Horne–Zeilinger (GHZ) states with different levels of spin-flip noise. The results show that the fidelity and the degree of violation of the NBTI decrease monotonically with the increase of noise intensity. They also provide a method to judge whether there is entanglement in three-particle mixed states.


2019 ◽  
Vol 26 (03) ◽  
pp. 1950012 ◽  
Author(s):  
Manuel Asorey ◽  
Paolo Facchi ◽  
Giuseppe Marmo

The role of mixed states in topological quantum matter is less known than that of pure quantum states. Generalisations of topological phases appearing in pure states have received attention in the literature only quite recently. In particular, it is still unclear whether the generalisation of the Aharonov–Anandan phase for mixed states due to Uhlmann plays any physical role in the behaviour of the quantum systems. We analyse, from a general viewpoint, topological phases of mixed states and the robustness of their invariance. In particular, we analyse the role of these phases in the behaviour of systems with periodic symmetry and their evolution under the influence of an environment preserving its crystalline symmetries.


2018 ◽  
Vol 98 (13) ◽  
Author(s):  
Haifeng Lang ◽  
Yixin Chen ◽  
Qiantan Hong ◽  
Heng Fan

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