scholarly journals Relative information encoded in the degree of entanglement to discriminate bipartite states

2006 ◽  
Vol 357 (3) ◽  
pp. 167-170 ◽  
Author(s):  
T. Vértesi
Keyword(s):  
Relative Information ◽  
Degree Of Entanglement ◽  
Bipartite States

scholarly journals Quantum Nonlocality of Arbitrary Dimensional Bipartite States

2015 ◽  
Vol 5 (1) ◽  
Author(s):  
Ming Li ◽  
Tinggui Zhang ◽  
Bobo Hua ◽  
Shao-Ming Fei ◽  
Xianqing Li-Jost
Keyword(s):  
Quantum Nonlocality ◽  
Bipartite States

A matrix realignment method for recognizing entanglement

2003 ◽  
Vol 3 (3) ◽  
pp. 193-202
Author(s):  
K. Chen ◽  
L.-A. Wu
Keyword(s):  
Kronecker Product ◽  
Singular Values ◽  
Quantum Systems ◽  
Entangled States ◽  
Approximation Technique ◽  
Separable State ◽  
Simple Method ◽  
Bipartite Quantum Systems ◽  
The Matrix ◽  
Degree Of Entanglement

Motivated by the Kronecker product approximation technique, we have developed a very simple method to assess the inseparability of bipartite quantum systems, which is based on a realigned matrix constructed from the density matrix. For any separable state, the sum of the singular values of the matrix should be less than or equal to $1$. This condition provides a very simple, computable necessary criterion for separability, and shows powerful ability to identify most bound entangled states discussed in the literature. As a byproduct of the criterion, we give an estimate for the degree of entanglement of the quantum state.

Entanglement and nonlocality for a mixture of a pair-coherent state

2003 ◽  
Vol 3 (2) ◽  
pp. 106-115
Author(s):  
S. Mancini ◽  
P. Tombesi
Keyword(s):  
Coherent State ◽  
Quantum Teleportation ◽  
Single Photon ◽  
Continuous Variables ◽  
Bell’S Inequalities ◽  
Nonclassical Properties ◽  
Pair Coherent State ◽  
Photon Loss ◽  
Phase Randomization ◽  
Degree Of Entanglement

We consider a bipartite continuous variables quantum mixture coming from phase randomization of a pair-coherent state. We study the nonclassical properties of such a mixture. In particular, we quantify its degree of entanglement, then we show possible violations of Bell's inequalities. We also consider the use of this mixture in quantum teleportation. Finally, we compare this mixture with that obtained from a pair-coherent state by single photon loss.

Entanglement of formation and concurrence

2001 ◽  
Vol 1 (1) ◽  
pp. 27-44
Author(s):  
William K. Wootters
Keyword(s):  
Current Understanding ◽  
Related Concept ◽  
Explicit Formulas ◽  
Entanglement Of Formation ◽  
Bipartite States

This paper reviews our current understanding of entanglement of formation and the related concept of concurrence, including discussions of additivity, the problem of finding explicit formulas, and connections between concurrence and other propertis of bipartite states.

Individual categorisation of glucose profiles using compositional data analysis

2018 ◽  
Vol 28 (12) ◽  
pp. 3550-3567 ◽  
Author(s):  
Lyvia Biagi ◽  
Arthur Bertachi ◽  
Marga Giménez ◽  
Ignacio Conget ◽  
Jorge Bondia ◽  
...  
Keyword(s):  
Data Analysis ◽  
Compositional Data ◽  
Glucose Monitoring ◽  
Glucose Variability ◽  
Compositional Data Analysis ◽  
Relative Information ◽  
Glucose Profiles ◽  
Patient Groups ◽  
The Times

The aim of this study was to apply a methodology based on compositional data analysis (CoDA) to categorise glucose profiles obtained from continuous glucose monitoring systems. The methodology proposed considers complete daily glucose profiles obtained from six patients with type 1 diabetes (T1D) who had their glucose monitored for eight weeks. The glucose profiles were distributed into the time spent in six different ranges. The time in one day is finite and limited to 24 h, and the times spent in each of these different ranges are co-dependent and carry only relative information; therefore, CoDA is applied to these profiles. A K-means algorithm was applied to the coordinates obtained from the CoDA to obtain different patterns of days for each patient. Groups of days with relatively high time in the hypo and/or hyperglycaemic ranges and with different glucose variability were observed. Using CoDA of time in different ranges, individual glucose profiles were categorised into groups of days, which can be used by physicians to detect the different conditions of patients and personalise patient's insulin therapy according to each group. This approach can be useful to assist physicians and patients in managing the day-to-day variability that hinders glycaemic control.

scholarly journals Representation Lost: The Case for a Relational Interpretation of Quantum Mechanics

Entropy ◽  
2018 ◽  
Vol 20 (12) ◽  
pp. 975 ◽  
Author(s):  
Raffael Krismer
Keyword(s):  
Thought Experiment ◽  
Dynamical Evolution ◽  
Bayesian Probability ◽  
Special Focus ◽  
Probability Models ◽  
Classical Probability ◽  
Unitary Evolution ◽  
Relative Information ◽  
Mechanical Analogue ◽  
Argument Proceeds

Contemporary non-representationalist interpretations of the quantum state (especially QBism, neo-Copenhagen views, and the relational interpretation) maintain that quantum states codify observer-relative information. This paper provides an extensive defense of such views, while emphasizing the advantages of, specifically, the relational interpretation. The argument proceeds in three steps: (1) I present a classical example (which exemplifies the spirit of the relational interpretation) to illustrate why some of the most persistent charges against non-representationalism have been misguided. (2) The special focus is placed on dynamical evolution. Non-representationalists often motivate their views by interpreting the collapse postulate as the quantum mechanical analogue of Bayesian probability updating. However, it is not clear whether one can also interpret the Schrödinger equation as a form of rational opinion updating. Using results due to Hughes & van Fraassen as well as Lisi, I argue that unitary evolution has a counterpart in classical probability theory: in both cases (quantum and classical) probabilities relative to a non-participating observer evolve according to an entropy maximizing principle (and can be interpreted as rational opinion updating). (3) Relying on a thought-experiment by Frauchiger and Renner, I discuss the differences between quantum and classical probability models.

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