I haven't read up on any of this in a long time. Thanks Bruce! In particular, were it not for that, I wouldn't have found this:
Quantum information in the Posner model of quantum cognition Nicole Yunger Halpern, Elizabeth Crosson https://arxiv.org/abs/1711.04801 > Matthew Fisher recently postulated a mechanism by which quantum phenomena > could influence cognition: Phosphorus nuclear spins may resist decoherence > for long times, especially when in Posner molecules. The spins would serve as > biological qubits. We imagine that Fisher postulates correctly. How adroitly > could biological systems process quantum information (QI)? We establish a > framework for answering. Additionally, we construct applications of > biological qubits to quantum error correction, quantum communication, and > quantum computation. First, we posit how the QI encoded by the spins > transforms as Posner molecules form. The transformation points to a natural > computational basis for qubits in Posner molecules. From the basis, we > construct a quantum code that detects arbitrary single-qubit errors. Each > molecule encodes one qutrit. Shifting from information storage to > computation, we define the model of Posner quantum computation. To illustrate > the model's quantum-communication ability, we show how it can teleport > information incoherently: A state's weights are teleported. Dephasing results > from the entangling operation's simulation of a coarse-grained Bell > measurement. Whether Posner quantum computation is universal remains an open > question. However, the model's operations can efficiently prepare a Posner > state usable as a resource in universal measurement-based quantum > computation. The state results from deforming the Affleck-Kennedy-Lieb-Tasaki > (AKLT) state and is a projected entangled-pair state (PEPS). Finally, we show > that entanglement can affect molecular-binding rates, boosting a binding > probability from 33.6% to 100% in an example. This work opens the door for > the QI-theoretic analysis of biological qubits and Posner molecules. -- ↙↙↙ uǝlƃ - .... . -..-. . -. -.. -..-. .. ... -..-. .... . .-. . FRIAM Applied Complexity Group listserv Zoom Fridays 9:30a-12p Mtn GMT-6 bit.ly/virtualfriam un/subscribe http://redfish.com/mailman/listinfo/friam_redfish.com archives: http://friam.471366.n2.nabble.com/ FRIAM-COMIC http://friam-comic.blogspot.com/
