2011
DOI: 10.1103/physreva.84.052112
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Abstract: We present observable lower and upper bounds for the entanglement of formation (EOF) and quantum discord (QD), which facilitates estimates of EOF and QD for arbitrary experimental unknown states in finitedimensional bipartite systems. These bounds can be easily obtained by a few experimental measurements on a twofold copy ̺ ⊗ ̺ of the mixed states. Based on our results, we use the experimental measurement data of the real experiment given by Schmid et al. [Phys. Rev. Lett. 101, 260505 (2008)] to obtain the low… Show more

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Cited by 24 publications
(11 citation statements)
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“…A similar interpretation can be obtained via the state merging protocol [27], Alice (A), Bob (B) and the Environment (E) share a pure tripartite state ρ ABE , she would like to send her state to Bob, keeping the coherence with the system E. They can perform this protocol consuming an amount of entanglement in the process, the amount of entanglement is the regularized quantum discord D ∞ (A : E) ρAE [25,26]. In addition to the above relations, some upper and lower bounds between quantum discord and entanglement of formation have been calculated via the Koashi-Winter relation and the properties of entropy [60][61][62][63]. The Eq.88 was also used to calculate the quantum discord and the entanglement of formation analytically for systems with rank-2 and dimension 2 ⊗ n [41,64,65].…”
Section: Monogamy Relation: Entanglement Classical Correlations mentioning
confidence: 99%
“…A similar interpretation can be obtained via the state merging protocol [27], Alice (A), Bob (B) and the Environment (E) share a pure tripartite state ρ ABE , she would like to send her state to Bob, keeping the coherence with the system E. They can perform this protocol consuming an amount of entanglement in the process, the amount of entanglement is the regularized quantum discord D ∞ (A : E) ρAE [25,26]. In addition to the above relations, some upper and lower bounds between quantum discord and entanglement of formation have been calculated via the Koashi-Winter relation and the properties of entropy [60][61][62][63]. The Eq.88 was also used to calculate the quantum discord and the entanglement of formation analytically for systems with rank-2 and dimension 2 ⊗ n [41,64,65].…”
Section: Monogamy Relation: Entanglement Classical Correlations mentioning
confidence: 99%
“…Verification and measurement of entanglement in a quantum state is an ever growing field of research [1,2]. Entanglement in two-particle (more generally bipartite) quantum states can be verified, for example, by the violation of Bell's inequalities [3][4][5][6][7], quantum state tomography [8], entanglement witnesses [9][10][11][12][13][14], and measurements employing multiple copies of the quantum state [15][16][17][18][19][20]. For a general bipartite quantum state, all these methods require detection of both particles (subsystems).…”
Section: Introductionmentioning
confidence: 99%
“…Based on this idea, there are several improved lower and upper bounds for EOF presented in. [33][34][35][36] While the entanglement of formation is the most common measure of entanglement, it is not the unique measure. There are other measures such as entanglement Rényi-α entropy (ERαE) which is the generalization of the entanglement of formation.…”
Section: Introductionmentioning
confidence: 99%