Abstract
An effective approach to quantify entanglement of any bipartite systems is D-concurrence, which is important in quantum information science. In this paper, we present a direct method for experimental determination of the D-concurrence of an arbitrary bipartite pure state. To do this, we show that measurement of the D-concurrence of bipartite pure state can be conversed into the measurement performed on some observables so called generalized Gell-Mann operators. We first introduce the concept of D-concurrence for a bipartite system. Then we explain the method of measuring this entanglement measure for the pure state. Finally, for clarify of the subject, we give an example consisting of two parties A and B with dimensions 3.
Highlights
An effective approach to quantify entanglement of any bipartite systems is D-concurrence, which is important in quantum information science
They found that the partial entropy of a party in a bipartite quantum state can be a measure of entanglement
The direct method for determining the negativity of an two-qubit state as an entanglement measure using relation between the purity, negativity and a universal entanglement witness was described by Bartkiewicz et al.[14]
Summary
The proof of the above equation is as follows: For this state |ψ〉, the reduce density matrix ρA is the diagonal matrix with the (2.1), we have: elements as ρA. That ΛiA and ΛBj are orthonormal bases in the space of Hermitian operators HA and HB respectively. They are the standard SU(N) generators (in our study N = d) that are the generalized Gell-Mann matrices (GGM). ∑ |〈ψ|Λi ⊗ I|ψ〉|2 = ∑tr(ρAΛi)[2] i i which ρA is the reduced density matrix of the subsystem A It can be rewritten in terms of the diagonal reduced density matrix of ρDA by using the local unitary transformations U.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
