Prepping an Entanglement Witness

Physics ◽  
2017 ◽  
Vol 10 ◽  
Author(s):  
Anonymous
Keyword(s):  
Entanglement Witness

Simplifying Schmidt number witnesses via higher-dimensional embeddings

2004 ◽  
Vol 4 (3) ◽  
pp. 207-221
Author(s):  
F. Hulpke ◽  
D. Bruss ◽  
M. Levenstein ◽  
A. Sanpera
Keyword(s):  
Hilbert Space ◽  
Schmidt Number ◽  
Convex Sets ◽  
Entanglement Witness ◽  
Simple Method ◽  
Dimensional Hilbert Space ◽  
Higher Dimensional ◽  
Arbitrary Convex

We apply the generalised concept of witness operators to arbitrary convex sets, and review the criteria for the optimisation of these general witnesses. We then define an embedding of state vectors and operators into a higher-dimensional Hilbert space. This embedding leads to a connection between any Schmidt number witness in the original Hilbert space and a witness for Schmidt number two (i.e. the most general entanglement witness) in the appropriate enlarged Hilbert space. Using this relation we arrive at a conceptually simple method for the construction of Schmidt number witnesses in bipartite systems.

Entanglement witness via quantum-memory-assisted entropic uncertainty relation

2017 ◽  
Vol 14 (12) ◽  
pp. 125208 ◽  
Author(s):  
Jiadong Shi ◽  
Zhiyong Ding ◽  
Tao Wu ◽  
Juan He ◽  
Lizhi Yu ◽  
...  
Keyword(s):  
Uncertainty Relation ◽  
Quantum Memory ◽  
Entanglement Witness ◽  
Entropic Uncertainty Relation

scholarly journals Path-entanglement microwave signals detecting method based on entanglement witness

2018 ◽  
Vol 67 (4) ◽  
pp. 040301
Author(s):  
Zhu Hao-Nan ◽  
Wu De-Wei ◽  
Li Xiang ◽  
Wang Xiang-Lin ◽  
Miao Qiang ◽  
...  
Keyword(s):  
Entanglement Witness ◽  
Microwave Signals ◽  
Detecting Method

Macroscopic inequivalent entanglement witness in Heisenberg spin chain

2009 ◽  
Vol 18 (4) ◽  
pp. 1346-1351 ◽  
Author(s):  
Zhang Ting ◽  
Chen Ping-Xing ◽  
Li Cheng-Zu
Keyword(s):  
Spin Chain ◽  
Entanglement Witness ◽  
Heisenberg Spin ◽  
Heisenberg Spin Chain

scholarly journals Entanglement witness via symmetric two-body correlations

2016 ◽  
Vol 93 (1) ◽  
Author(s):  
Ernest Y.-Z. Tan ◽  
Dagomir Kaszlikowski ◽  
L. C. Kwek
Keyword(s):  
Entanglement Witness

scholarly journals Experimental implementation of a NMR entanglement witness

2011 ◽  
Vol 11 (6) ◽  
pp. 1883-1893 ◽  
Author(s):  
J. G. Filgueiras ◽  
T. O. Maciel ◽  
R. E. Auccaise ◽  
R. O. Vianna ◽  
R. S. Sarthour ◽  
...  
Keyword(s):  
Entanglement Witness ◽  
Experimental Implementation

scholarly journals The quantum entropic uncertainty relation and entanglement witness in the two-atom system coupling with the non-Markovian environments

2014 ◽  
Vol 89 (11) ◽  
pp. 115101 ◽  
Author(s):  
Hong-Mei Zou ◽  
Mao-Fa Fang ◽  
Bai-Yuan Yang ◽  
You-Neng Guo ◽  
Wei He ◽  
...  
Keyword(s):  
Uncertainty Relation ◽  
Entanglement Witness ◽  
Entropic Uncertainty Relation ◽  
System Coupling ◽  
Atom System

Witnessing entanglement between two atoms in dissipative cavities by the entropic uncertainty relation

2016 ◽  
Vol 94 (11) ◽  
pp. 1142-1147 ◽  
Author(s):  
Hong-Mei Zou ◽  
Mao-Fa Fang
Keyword(s):  
Quantum Information ◽  
Lower Bound ◽  
Uncertainty Relation ◽  
Quantum Information Processing ◽  
Equation Approach ◽  
Time Zone ◽  
Entanglement Witness ◽  
Entropic Uncertainty Relation ◽  
Cavity Coupling ◽  
Master Equation Approach

Based on the entropic uncertainty relation in the presence of quantum memory, the entanglement witness of two atoms in dissipative cavities is investigated by using the time-convolutionless master-equation approach. We discuss in detail the influences of the non-Markovian effect and the atom–cavity coupling on the lower bound of the entropic uncertainty relation and entanglement witness. The results show that, with the coupling increasing, the number of the time zone witnessed will increase so that the entanglement can be repeatedly witnessed. Enhancing the non-Markovian effect can add the number of the time zone witnessed and lengthen the time of entanglement witness. The results can be applied in quantum measurement, entanglement detecting, quantum cryptography task, and quantum information processing.

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