Correlation between concurrence and mutual information
نویسندگان
چکیده
We investigate a two-qubit system to understand the relationship between concurrence and mutual information, where former determines amount of quantum entanglement, whereas latter is its classical residue after performing local projective measurement. For given ensemble random pure states, in which values are uniformly distributed, we calculate joint probability information. Although zero information most probable uniform ensemble, find positive correlation concurrence. This result suggests that destructive measurement can be used assess
منابع مشابه
Correlation Distance and Bounds for Mutual Information
The correlation distance quantifies the statistical independence of two classical or quantum systems, via the distance from their joint state to the product of the marginal states. Tight lower bounds are given for the mutual information between pairs of two-valued classical variables and quantum qubits, in terms of the corresponding classical and quantum correlation distances. These bounds are ...
متن کاملMutual Information Functions Versus Correlation Functions
This paper studies one application of mutual information to symbolic sequence: the mutual information function M(d). This function is compared with the more frequently used correlation function (d). An exact relation between M(d) and (d) is derived for binary sequences. For sequences with more than two symbols, no such general relation exists; in particular, (d) = 0 may or may not lead to M(d) ...
متن کاملBoolean functions: noise stability, non-interactive correlation, and mutual information
Let ǫ ∈ [0, 1/2] be the noise parameter and p > 1. We study the isoperimetric problem that for fixed mean Ef which Boolean function f maximizes the p-th moment E(Tǫf) p of the noise operator Tǫ acting on Boolean functions f : {0, 1} n 7→ {0, 1}. Our findings are: in the low noise scenario, i.e., ǫ is small, the maximum is achieved by the lexicographical function; in the high noise scenario, i.e...
متن کاملCorrelation Between Energy and Information
Since the industrial revolution happened in the middle of 18th century, both the thermal equilibrium and ecological equilibrium of earth environment have been broken. The skyrocketing energy consumption and greenhouse gases emission are threatening the sustainable development of human beings. The only way out is to build up new energy structure. However, the new energy structure cannot be effec...
متن کاملClustering of a Number of Genes Affecting in Milk Production using Information Theory and Mutual Information
Information theory is a branch of mathematics. Information theory is used in genetic and bioinformatics analyses and can be used for many analyses related to the biological structures and sequences. Bio-computational grouping of genes facilitates genetic analysis, sequencing and structural-based analyses. In this study, after retrieving gene and exon DNA sequences affecting milk yield in dairy ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Statistical Mechanics: Theory and Experiment
سال: 2022
ISSN: ['1742-5468']
DOI: https://doi.org/10.1088/1742-5468/ac8e5b