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

TL;DR

This paper introduces generalized balanced multi-mode coherent states for multi-qudit systems, analyzes their entanglement properties, and proposes a scheme for their generation, highlighting differences from qubit cases such as monogamy violations.

Contribution

It provides a necessary and sufficient condition for bi-separability of balanced N-mode coherent states and explores entanglement in multi-qubit and multi-qutrit states.

Findings

Identified conditions for bi-separability of balanced N-mode states

Showed qutrit states can violate monogamy inequality

Proposed a scheme for generating entangled coherent states

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 superposition.