Characterizing nonclassical correlation using affinity
arXiv:1904.04462 · doi:10.1007/s11128-019-2333-3
Abstract
Geometric discord, a measure of quantumness of bipartite system, captures minimal nonlocal effects of a quantum state due to locally invariant von Neumann projective measurements. Original version of this measure is suffered by the local ancilla problem. In this article, we propose a new version of geometric discord using affinity. This quantity satisfies all criteria of a good measure of quantum correlation of the bipartite system and resolves local ancilla problem of Hilbert-Schmidt norm based discord. We evaluate analytically the proposed quantity for both pure and mixed states. For an arbitrary pure state, it is shown that affinity based geometric discord equal to geometric measure of entanglement. Further, we obtain a lower bound of this measure for m \times n dimensional arbitrary mixed state and a closed formula of proposed version of geometric discord for 2 \times n dimensional mixed state is obtained. Finally, as an illustration, we have studied the nonlocality of Bell diagonal state, isotropic and Werner states.
13 pages, 1 figure, Comments are welcome
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- Quantum coherence and correlation measures based on affinity
- Affinity-based measurement-induced nonlocality and its robustness against noise
- Quantum correlations in a mixed spin-(1/2,1) Heisenberg dimer
- Characterizing nonbilocal correlation: A geometric perspective
- Affinity-based geometric discord and quantum speed limits of its creation and decay
- Characterizing quantum ensemble using geometric measure of quantum coherence