Hierarchy of quantum correlations using a linear beam splitter

Abstract

Beam splitters are important components in numerous tasks of quantum information protocols used either in simple or in an interferometric arrangement or together with other quantum systems. This report shows interesting aspects of the quantum correlations of two-mode Gaussian state (TMGS) for the photons retrieved via a linear beam splitter when they are initially employed at the input of either pure or mixed two single-mode Gaussian states (TSMGSs). The quantum correlations obey the boundaries of quantum non-locality, steering, entanglement and discord for pure input states. Though Bell inequality does not violate, quantum steering, entanglement and discord exist in the quantum state evolved by the beam splitter when input states become mixed. Specifically, the quantum steering, entanglement and discord persist to some degrees against the thermal photon number, the Bell inequality is, nonetheless, obeyed by the quantum state except in a very sharp regime.

Correlation dynamics of nitrogen vacancy centers located in crystal cavities

“…It is worth noting that the rigid hierarchy between the Bell nonlocality and the entanglement [64][65][66][67] was proved and were reported in 65 . While the hierarchy between the negativity and the skew-information quantifiers is not reported explicitly.…”

“…From all figures, we observe that the hierarchy [64][65][66][67] has been satisfied by the generated quantum correlations of the Bell function, the log-negativity and the skew-information quantifiers, meaning that Bell-nonlocality implies entanglement, which in turn implies LOU and UIN.…”

Virtual excitations and quantum correlations in ultra-strongly coupled harmonic oscillators under intrinsic decoherence

“…It denotes the impossibility to describe the conditional states at one party by a local hidden state model [7]. Moreover, recently, the steering is widely discussed in several systems, including continous variables [8][9][10] and discrete systems [11,12].…”

Entanglement of a Nanowires System with Rashba Interaction

“…Quantum correlations [14][15][16][17][18] are a significant resource in numerous intriguing applications with regards to quantum information and quantum computation, for example, quantum teleportation [19], quantum cryptography [20], and superdense coding [21]. One of the most critical and widespread measures of quantum correlations is quantum entanglement which represents the extent of relationship and influence between the state of two or more subsystems on each other, even after separating them [22][23][24][25].…”