Information theory density matrix for a simple quantum system

1979 ◽  
Vol 47 (4) ◽  
pp. 357-361 ◽  
Author(s):  
William J. Titus
Keyword(s):  
Information Theory ◽  
Density Matrix ◽  
Quantum System ◽  
Simple Quantum

Local and nonlocal approximation for a simple quantum system

2001 ◽  
Vol 114 (10) ◽  
pp. 4386 ◽  
Author(s):  
M. A. Palenberg ◽  
R. J. Silbey ◽  
C. Warns ◽  
P. Reineker
Keyword(s):  
Quantum System ◽  
Simple Quantum

Measurement of quantum correlation by Frobenius norm in non-Markovian system

2018 ◽  
Vol 16 (03) ◽  
pp. 1850022 ◽  
Author(s):  
Juju Hu ◽  
Shuqin Liu ◽  
Yinghua Ji
Keyword(s):  
Density Matrix ◽  
Quantum System ◽  
Quantum Correlation ◽  
Quantum Discord ◽  
Frobenius Norm ◽  
Easy Method ◽  
Test Matrix ◽  
Research Results ◽  
Bipartite State ◽  
Markovian System

In order to measure the quantum correlation of a bipartite state quickly, an easy method is to construct a test matrix through the commutations among the blocks of its density matrix. Then, the Frobenius norm of the test matrix can be used to measure the quantum correlation. In this paper, we apply the measurement by Frobenius norm ([Formula: see text] to the dynamics evolution of the non-Markovian quantum system and compare it with the typical quantum discord ([Formula: see text] proposed by Ollivier and Zurek. The research results show that [Formula: see text] can indeed measure the quantum correlation of a bipartite state as same as [Formula: see text]. Further studies find that there are still differences between the two measurements: in some regions, when [Formula: see text] is zero, [Formula: see text] is not zero. It indicates that [Formula: see text] is more detailed than [Formula: see text] to measure quantum correlation of a bipartite state.

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