Entanglement of Multi-qudit States Constructed by Linearly Independent Coherent States: Balanced Case

Abstract

Multi-mode entangled coherent states are important resources for linear optics quantum computation and teleportation. Here we introduce the generalized balanced N-mode coherent states which recast in the multi-qudit case. The necessary and sufficient condition for bi-separability of such balanced N-mode coherent states is found. We particularly focus on pure and mixed multi-qubit and multi-qutrit like states and examine the degree of bipartite as well as tripartite entanglement using the concurrence measure. Unlike the N-qubit case, it is shown that there are qutrit states violating monogamy inequality. Using parity, displacement operator and beam splitters, we will propose a scheme for generating balanced N-mode entangled coherent states for even number of terms in

Comparison of qubit and qutrit like entangled squeezed and coherent states of light

“…In order to compare this results with ECS we also display the results of τ (c) ABD calculated in Ref. [44]. Figure 11 shows that in general τ…”

“…is also plotted in figure 1 (for further details see [44]). A comparison between full and dashed line in figure 1 shows that for f > 0 the concurrence of squeezed state is less than the concurrence of coherent state.…”

“…In Ref. [44] the production and entanglement properties of the generalized balanced N-mode Glauber coherent states of the form…”

Quantum Teleportation via Entangled State of Light in Schwarzschild Black Hole

“…Generation of multipartite ECS's and entanglement of multipartite states have been investigated in [22,23]. In [24], the entanglement properties of the generalized balanced N-mode coherent states generated by the beam splitter have been stated which is a general form of the two-mode ECS…”

“…In Ref. [24], an experimental set up is used for generating N-mode entangled coherent state, using the parity, displacement, and beam splitting operator. In order to produce a two-mode ECS, one must first obtain the superposition of two coherent states [25,26].…”