Abstract
Developed below are circuits for elements of long-term memory suitable for a brain system. Three types of elements are presented, based on, (1) long-term potentiation (LTP), (2) recursive neural pulses, and (3) a combination of these two.
The recursive neuron is easily changed into a simulated qubit that can hold true and false simultaneously, corresponding to a higher and a lower frequency of a circulating pulse. Frequency and phase for a single simulated qubit may be represented by a point on a sphere of probability, the location of which determines the resulting probability of a true. Output is established with a sampling circuit that results in true or false logic value with specific complementary probabilities. Simulated qubit circuits as developed in this book may stand in for physical (real) qubits within neurons, and are important.
Simulated qubits have advantages over straightforward neurons. For example, during cue editing, it is desirable to treat conflicting cues probabilistically. Also, simulated qubits easily convert into controlled toggles that are useful for massively parallel calculations.
Indeed, arrays of controlled toggle devices are central to recall editing to determine highest priority, a topic of a later chapter. Two circuits for controlled toggling are given, one using a combination of excitory and inhibitory synapses, and one using AND, XOR dendritic logic. These circuits are verified by simulation experiments for toggles in an appendix to this book.
Two independent simulated qubits, each prepared to 50 % chance for true or false, will provide four possible combinations of true and false, each with 25 % probability; thus n qubits provide exponentially increased possibilities. This opens up possibilities for data storage in probability space, as well as for binary function identification and binary function satisfiability as presented in a later chapter.
Formulas are given for the approximate probabilities of a true or a false from a simulated qubit. The phases of recursive waveforms are controllable, but phase generally does not affect the probability. In order for phase to have an effect, suitable transforms need to be implemented on the probability sphere, a topic of a later chapter.
Simulated qubits using recursive neurons are compared below to the physical qubits of quantum theory. Entanglement is discussed, with its weird possibility of teleportation, or communication without known physical connections. Simulated qubits cannot become entangled like particles in a quantum system, although it may be possible to imitate certain kinds of entanglement using interneurons.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
Membrane loss is known to go down during a burst of pulses, since pulsing actually decreases average membrane voltage from −70 mV up to nearly 0. This leaves behind greater amounts of oxygenated hemoglobin so as to explain in part why neural activity gives a brighter region in functional magnetic resonance imaging (fMRI), as mentioned again in a later chapter.
References
Kanerva P (1988) Sparse distributed memory. MIT Press, Cambridge, MA
Bliss T, Collingridge GL, Morris RGM (2004) Long-term potentiation: enhancing neuroscience for 30 years. Oxford University Press, Oxford
Burger JR (2011) Qubits underlie gifted savants. NeuroQuantology 9:351–360
Nielson MA, Chuang IL (2000) Quantum computation and quantum information, Cambridge series on information and the natural sciences. Cambridge University Press, Cambridge [Paperback]
Pittenger AO (1999) An introduction to quantum computing algorithms. Birkhauser, Boston
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer Science+Business Media New York
About this chapter
Cite this chapter
Burger, J.R. (2013). Long-Term Memory, Simulated Qubits, Physical Qubits. In: Brain Theory From A Circuits And Systems Perspective. Springer Series in Cognitive and Neural Systems, vol 6. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6412-9_4
Download citation
DOI: https://doi.org/10.1007/978-1-4614-6412-9_4
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4614-6411-2
Online ISBN: 978-1-4614-6412-9
eBook Packages: Biomedical and Life SciencesBiomedical and Life Sciences (R0)