Title: Quantum Hamiltonian Computing protocols for molecular electronics Boolean logic gates Show Chinese title

Title: 分子电子学中用于布尔逻辑门的量子哈密顿计算协议

Abstract: Quantum Hamiltonian Computing is a recent approach that uses quantum systems, in particular a single molecule, to perform computational tasks. Within this approach, we present explicit methods to construct logic gates using two different designs, where the logical outputs are encoded either at fixed energy and spatial positioning of the quantum states, or at different energies. We use these results to construct quantum Boolean adders involving a minimal number of quantum states with the two designs. We also establish a matrix algebra giving an analogy between classical Boolean logic gates and quantum ones, and assess the possibilities of both designs for more complex gates. Show Chinese abstract

Abstract: 量子哈密顿计算是一种最近的方法，它使用量子系统，特别是单个分子，来执行计算任务。 在此方法中，我们提出了显式的方法，使用两种不同的设计来构建逻辑门，其中逻辑输出要么编码在量子态的固定能量和空间位置上，要么编码在不同的能量上。 我们利用这些结果，构建涉及最少数量量子态的量子布尔加法器，使用这两种设计。 我们还建立了一种矩阵代数，将经典布尔逻辑门与量子逻辑门进行类比，并评估这两种设计在更复杂门中的可能性。