Quantum entanglement and generalized information processing using entangled states with odd number of particles

TL;DR

This paper introduces a new five-particle entangled state for efficient quantum information processing, demonstrating its potential for perfect teleportation and optimal dense coding regardless of measurement basis.

Contribution

It proposes a genuinely maximally entangled five-particle state and analyzes its physical realization and applications in quantum communication protocols.

Findings

Achieves perfect teleportation with the proposed state.

Enables maximum information transfer in dense coding.

Provides a framework for distinguishing entangled systems using cluster coefficients.

Abstract

We discuss and generalize multi-particle entanglement based on statistical correlations using Ursell-Mayer type of cluster coefficients. Cluster coefficients are used to distinguish different, independent entangled systems as well as those which are connected through local unitary transformations. We propose a genuinely and maximally entangled five-particle state for efficient information processing. The physical realization of entangled states and information processing protocols are analyzed using quantum gates and circuit diagrams. We show that the direct as well as controlled communication can be achieved using the state proposed here with certainty in the case of teleportation and with a high degree of optimity in the case of dense coding. In the case of dense coding the amount of information transferred from the sender to the receiver is always a maximum irrespective of the measurement basis used by the controller.