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Reveal quantum correlation in complementary bases
This work reveals the simultaneous existence of correlation in complementary bases by defining measures based on invariance under a basis change and gives information-theoretical measures that directly reflect the essential feature of quantum correlation.
Measure of genuine multipartite entanglement with computable lower bounds
- Zhihao Ma, Zhihua Chen, Jing-Ling Chen, C. Spengler, A. Gabriel, M. Huber
- Computer Science, Physics
- 11 January 2011
We introduce an intuitive measure of genuine multipartite entanglement, which is based on the well-known concurrence. We show how lower bounds on this measure can be derived and also meet important…
Improved lower bounds on genuine-multipartite-entanglement concurrence
This work defines an observable for GME concurrence and shows that entanglement criteria based on the bounds have a better performance with respect to the known methods.
Estimating entanglement monotones with a generalization of the Wootters formula.
It is demonstrated that for certain families of states these results constitute the strongest bipartite entanglement criterion so far; moreover, they allow us to recognize novel families of multiparticle bound entangled states.
Sharp continuity bounds for entropy and conditional entropy
An inequality relating the Renyi entropy difference of two quantum states to their trace norm Distance is derived and is shown to be tight in the sense that equality can be attained for every prescribed value of the trace norm distance.
Quantum Discord-Breaking Channels
It is proved that the quantum discord can be broken if and only if the local quantum channel is a commutativity-creating (CoC) channel and which kind of channels is a CoC channel, and address the relation between EB and DB channels.
Experimental Test of Heisenberg's Measurement Uncertainty Relation Based on Statistical Distances.
The relation reveals that the worst-case inaccuracy is tightly bounded from below by the incompatibility of target observables, and is verified by the experiment employing joint measurement in which two compatible observables designed to approximate two incompatible observables on one qubit are measured simultaneously.
Detection and measure of genuine tripartite entanglement with partial transposition and realignment of density matrices
- Ming Li, Jing Wang, Shuqian Shen, Zhihua Chen, S. Fei
- Computer ScienceScientific Reports
- 8 December 2017
This work investigates the problem by considering the average based positive partial transposition criterion and the realignment criterion and gives an effective operational way to detect and measure the genuine tripartite entanglement.
Entanglement and discord assisted entropic uncertainty relations under decoherence
The uncertainty principle is a crucial aspect of quantum mechanics. It has been shown that quantum entanglement as well as more general notions of correlations, such as quantum discord, can relax or…
Multipartite quantum correlations in open quantum systems
In this paper, we present a measure of quantum correlation for a multipartite system, defined as the sum of the correlations for all possible partitions. Our measure can be defined for quantum…