Department of Chemistry, University of Oxford, Oxford OX1 3QZ, UK.
Department of Chemistry, University of Oxford, Oxford OX1 3QZ, UK
J R Soc Interface. 2018 Oct 31;15(147):20180494. doi: 10.1098/rsif.2018.0494.
It has been suggested that P nuclear spins in Ca(PO) molecules could form the basis of a quantum mechanism for neural processing in the brain. A fundamental requirement of this proposal is that spins in different Ca(PO) molecules can become entangled and remain so for periods (estimated at many hours) that hugely exceed typical P spin relaxation times. Here, we consider the coherent and incoherent spin dynamics of Ca(PO) arising from dipolar and scalar spin-spin interactions and derive an upper bound of 37 min on the entanglement lifetime under idealized physiological conditions. We argue that the spin relaxation in Ca(PO) is likely to be much faster than this estimate.
有人认为,Ca(PO)分子中的 P 核自旋可以成为大脑中神经处理量子机制的基础。这一建议的一个基本要求是,不同 Ca(PO)分子中的自旋可以纠缠在一起,并保持很长时间(估计为数小时),远远超过典型的 P 自旋弛豫时间。在这里,我们考虑了来自偶极子和标量自旋-自旋相互作用的 Ca(PO)的相干和非相干自旋动力学,并在理想的生理条件下得出了纠缠寿命的上限为 37 分钟。我们认为 Ca(PO)中的自旋弛豫速度可能比这个估计要快得多。