# Transmit and Receive Diversity in MIMO Quantum Communication for High-Fidelity Video Transmission
## 4 Results and Discussion
Within the proposed framework, quantum encoding involves applying Hadamard transformations to individual qubits representing bitstream segments, resulting in a computational complexity that scales linearly as \(\mathcal{O}(N)\), where \(N\) is the number of qubits. Since our system uses single-qubit encoding with \(N=1\), the encoding complexity reduces to a constant \(\mathcal{O}(1)\), representing the simplest and most efficient quantum encoding scheme. Similarly, quantum decoding is performed via single-qubit measurements, which also exhibit constant-time complexity \(\mathcal{O}(1)\) per qubit. By avoiding entanglement, additional quantum gates beyond Hadamard, and quantum error correction codes, the framework maintains minimal computational and hardware demands. While classical communication systems benefit from decades of standardization, offering high reliability and sophisticated optimization techniques, quantum systems offer an inherently different advantage: reduced algorithmic and computational complexity rooted in the fundamental properties of quantum hardware. In our design, this advantage is further amplified through the use of single-qubit operations and Hadamard-based quantum modulation, which collectively minimize computational overhead. It is also important to  
Figure 9: Example of a received video frame for classical and quantum systems under different diversity schemes. (**a,b**) correspond to \(1\times 1\) SISO with a channel SNR of 10.5 dB; (**c,d**) correspond to \(2\times 1\) MISO with a channel SNR of 7.5 dB; (**e,f**) correspond to \(1\times 2\) SIMO with a channel SNR of 7.5 dB. note that the performance evaluations presented in this work are derived from classical simulations of quantum operations. Since quantum hardware operates very differently from classical processors, especially in how it handles parallelism and state changes, runtime comparisons based on simulations do not accurately reflect the performance of real quantum devices and are not included in this study. Furthermore, to maintain this low complexity and ensure hardware feasibility, the system intentionally omits quantum error correction (QEC) techniques [53]. While QEC methods can improve error resilience, they typically introduce substantial computational and implementation overheads, making them impractical for near-term, scalable, and low-power deployments, especially in MIMO-based scenarios. While the proposed design avoids QEC to reduce complexity, we acknowledge that its absence increases vulnerability to decoherence and cumulative noise in practical quantum channels. However, for low-complexity, short-distance communication scenarios, the use of classical polar codes has proven sufficient to maintain reliable performance. Although the proposed system is evaluated through simulation, this process serves as a foundational step toward practical validation. The results aim to guide future efforts, including prototype development, experimental testing, and controlled laboratory trials. In the analysis a \(2\times 2\) MIMO configuration is introduced to examine the influence of the diversity of transmit and receive. This configuration is not selected for performance benchmarking alone, but also to demonstrate that the proposed framework can accommodate such diversity structures without requiring significant architectural changes. Importantly, the system is designed to be scalable. It can be extended to higher-order MIMO configurations such as \(4\times 4\) or \(8\times 8\) depending on the availability of quantum hardware and processing resources. While increased complexity may result from such extensions, the modularity and low baseline complexity of the current design ensure that future expansions are feasible. This scalability positions the proposed quantum-classical hybrid framework as a strong candidate for next-generation communication systems in applications such as telemedicine, remote diagnostics, and real-time visual transmission in bandwidth-limited or error-prone environments.