Posner qubits: spin dynamics of entangled Ca
9
(PO
4
)
6
molecules and their role in neural processing
2018 ◽
Vol 15
(147)
◽
pp. 20180494
◽
Keyword(s):
It has been suggested that 31 P nuclear spins in Ca 9 (PO 4 ) 6 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 9 (PO 4 ) 6 molecules can become entangled and remain so for periods (estimated at many hours) that hugely exceed typical 31 P spin relaxation times. Here, we consider the coherent and incoherent spin dynamics of Ca 9 (PO 4 ) 6 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 9 (PO 4 ) 6 is likely to be much faster than this estimate.
Keyword(s):
2009 ◽
Vol 1
(4)
◽
pp. 20-38
◽
Keyword(s):
1997 ◽
Vol 106
(22)
◽
pp. 9032-9043
◽
Keyword(s):
1999 ◽
Vol 103
(24)
◽
pp. 4775-4776
◽
Keyword(s):