Quantum dynamics in high dimensionality

Daniel Peláez

Mauricio Domingues Coutinho-Neto, Alexandra Viel, Uwe Manthe

Jincheng Zhang

This paper explores a novel algorithm for dimensional expansion and quantum entanglement, leveraging a dynamic mapping mechanism. The core focus is on encoding and de-embedding information within high-dimensional spaces, presenting a fundamentally new approach to quantum information processing. We detail the algorithm's design, highlighting the integration of a dynamically adjusted mapping function to achieve this. The paper argues that this approach offers a pathway to surpass current limitations of existing quantum technologies, specifically through the potential for dynamic information manipulation within high-dimensional environments. The theoretical framework, while currently preliminary, demonstrates the potential of this method to unlock novel quantum applications.

Yue Fu, Wenquan Liu, Yunhan Wang +4 more

Quantum information processing (QIP) based on high-dimensional quantum systems provides unique advantages and new potentials where high-dimensional quantum correlations (QCs) play vital roles. Exploring the resistance of QCs against noises is crucial as QCs are fragile due to complex and unavoidable system-environment interactions. In this study, we investigate the performance of high-dimensional QCs under local dephasing noise using a single nitrogen-vacancy center in diamond. A freezing phenomenon in the high-dimensional quantum discord dynamics was observed, showing that discord is robust against local dephasing noise. Utilizing a robustness metric known as the freezing index, we find that the discord of qutrits outperforms their qubit counterparts when confronted with dephasing noise. Furthermore, we develop a geometric picture to explain this intriguing freezing phenomenon. Our findings highlight the potential of utilizing discord as a physical resource for advancing QIP in high-dimensional quantum settings.

Mauricio Domingues Coutinho-Neto, Alexandra Viel, Uwe Manthe

Geoffrey L. Price, Baker, B. Mitchell, Palle E. T. Jørgensen +1 more