发表机构
Department of Nuclear Engineering, Kyoto University（京都大学核工程系）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究分析了BECs量子比特系统中的普适性，在SU(2)的((N+1))维表示下，考虑两种量子态表示，阐明了量子计算普适性的理论方面。
AI 中文摘要
量子计算有望在某些计算任务上超越经典计算。支撑这一潜力的关键概念之一是普适性。普适性不仅针对量子比特，也针对高维量子系统（如qutrit和qudit，它们张成维度大于二的希尔伯特空间）得到了广泛研究。然而，在相对近期提出的玻色-爱因斯坦凝聚体（BECs）量子比特系统中，普适性的概念仍未被充分理解。在本工作中，我们分析了BECs量子比特系统中的普适性。我们的结果阐明了在SU(2)的((N+1))维表示类别中，考虑量子态的两种不同表示时，量子计算中普适性的理论方面。
英文摘要
Quantum computing promises to outperform classical computing for certain computational tasks. One of the key concepts underlying this potential is universality. Universality has been extensively studied not only for qubits but also for higher-dimensional quantum systems, such as qutrits and qudits, which span Hilbert spaces of dimension greater than two. However, the concept of universality in Bose-Einstein condensates (BECs) qubit systems, which have been proposed relatively recently, remains insufficiently understood. In this work, we analyzed universality in BECs qubit systems. Our results clarify the theoretical aspects of universality in quantum computation within the class of ((N+1))-dimensional representations of SU(2), taking into account two distinct representations of the quantum states.
Comments7 pages, 3 figures
