Experimental verification of the relationship between first-order coherence and linear steerability

Abstract

Coherence and steerability are two essential characteristics of quantum systems. For a two-qubit state, the first-order coherence and the maximal violation of linear steering inequality are used to operationally measure the degree of coherence and steerability, respectively. Recently, a complementary relation between first-order coherence and linear steerability has been proposed. In this paper, we report an experimental verification of the complementary relation by preparing biphoton polarization entangled states in an all-optical setup. We propose an operable method for experimental measurement of the first-order coherence and linear steerability and calculate the purity of the initial states by reconstructing the density matrices of them. The experimental results coincide with the theoretical predictions very well, which provides a valuable reference for the application of optical quantum technology.

Visualizing and witnessing first-order coherence, Bell nonlocality and purity by using a quantum steering ellipsoid in the non-inertial frame

“…Meanwhile, coherence can also be used to depict the interference capability of interacting fields in quantum optics research. [8][9][10][11][12] Beyond this, there have been various efforts to ascertain the interrelations between coherence and correlations, [13][14][15][16][17][18][19][20] and these relations are essential for predicting the coherent transfer in researched quantum systems. Various coherence measures have been established to quantify coherence.…”

Unification of quantum resources in tripartite systems

“…In 2020, Wollmann et al analyzed and experimentally demonstrated quantum steering using generalized entropic criteria and dimensionbounded steering inequalities [39]. While these measures of quantum resources are still regarded differently so far, there exists many indications showing that they are fundamentally connected [41][42][43][44][45][46][47][48]. In 2015, Streltsov et al showed that any degree of coherence in regard to some reference basis can be converted to entanglement [41].…”

“…The shareability of three-setting linear steering and its relations with bipartite or tripartite entanglement of threequbit states were investigated by Paul et al [45]. In 2021, Ding et al given the experimental verification of the relationship between first-order coherence and linear steerability in all-optical systems [46]. More recently, Dai et al presented a further study on the complementary relations between tripartite entanglement and the reduced bipartite steering for threequbit states [48].…”