Quantum encoding

Jincheng Zhang

This paper proposes a novel quantum communication scheme, Quantum Entanglement Adaptive Encoding (QEA), designed to enhance the reliability of quantum transmission by leveraging the properties of quantum entanglement. QEA utilizes a feedback mechanism between an encoder and a decoder, both linked through a shared entangled state. The encoder dynamically adjusts the encoding strategy – specifically, the strength of the entanglement and the encoding basis – based on real-time assessment of the channel noise and attenuation. This adaptive approach contrasts with traditional fixed-encoding methods, offering improved resilience against noisy quantum channels. The core claim of this work is that through dynamic adjustment, QEA significantly improves quantum communication reliability. The paper outlines the theoretical framework, describes the QEA protocol, and discusses its potential advantages.

Hafiz Md. Hasan Babu

Gabriele Nebe, Eric M. Rains, Neil J.A. Sloane

Jincheng Zhang

Quantum information encoding is a critical component of secure communication and data protection. Traditional encoding schemes often lack the flexibility to adapt to dynamic environmental conditions and quantum state evolution, limiting their security and efficiency. This paper presents a novel quantum information encoding approach, termed Dynamic Adaptive Encoding (DAE), leveraging the principles of quantum entanglement to dynamically adjust encoding parameters and enhance information security. The DAE employs a novel entanglement-based mechanism to continuously refine the encoding, providing real-time optimization of the encoding's sensitivity and robustness. We demonstrate the effectiveness of the DAE through simulations and preliminary experimental validation, highlighting its potential to significantly improve security and adaptability in quantum information systems.

Hafiz Md. Hasan Babu

Farhad Farokhi

Optimal encoding of classical data for statistical inference using quantum computing is investigated. A universal encoder is sought that is optimal for a wide array of statistical inference tasks. Accuracy of any statistical inference is shown to be upper bounded by a term that is proportional to maximal quantum leakage from the classical data, i.e., the input to the inference model, through its quantum encoding. This demonstrates that the maximal quantum leakage is a universal measure of the quality of the encoding strategy for statistical inference as it only depends on the quantum encoding of the data and not the inference task itself. The optimal universal encoding strategy, i.e., the encoding strategy that maximizes the maximal quantum leakage, is proved to be attained by pure states. When there are enough qubits, basis encoding is proved to be universally optimal. An iterative method for numerically computing the optimal universal encoding strategy is presented.