  Multiple photonic degrees of freedom can be explored to generate
high-dimensional quantum states; commonly referred to as `qudits'. Qudits offer
several advantages for quantum communications, including higher information
capacity, noise resilience and data throughput, and lower information loss over
different propagation mediums (free space, optical fibre, underwater) as
compared to conventional qubits based communication system. However, qudits
have been little exploited in literature, owing to their difficulty in
transmission and detection. In this paper, for the first time, we develop and
formulate the theoretical framework for transmission of classical information
through entanglement distribution of qudits over two quantum channels in
superposition of alternative causal order. For the first time we i) engineer
quantum switch operation for 2-qudit systems and ii) formulate theoretical
system model for entanglement distribution of qudits via quantum switch.
Results show that entanglement distribution of a qudit provides a considerable
gain in fidelity even with increase in noise.
