Basis for a neuronal version of Grover's quantum algorithm
Open accessAbstract
Grover's quantum (search) algorithm exploits principles of quantum information theory and computation to surpass the strong Church-Turing limit governing classical computers. The algorithm initializes a search field into superposed N (eigen)states to later execute nonclassical "subroutines" involving unitary phase shifts of measured states and to produce root-rate or quadratic gain in the algorithmic time (O(N (1/2))) needed to find some "target" solution m. Akin to this fast technological search algorithm, single eukaryotic cells, such as differentiated neurons, perform natural quadratic speed-up in the search for appropriate store-operated Ca(2+) response regulation of, among other processes, protein and lipid biosynthesis, cell energetics, stress responses, cell fate and death, synaptic plasticity, and immunoprotection. Such speed-up in cellular decision making results from spatiotemporal dynamics of networked intracellular Ca(2+)-induced Ca(2+) release and the search (or signaling) velocity of Ca(2+) wave propagation. As chemical processes, such as the duration of Ca(2+) mobilization, become rate-limiting over interstore distances, Ca(2+) waves quadratically decrease interstore-travel time from slow saltatory to fast continuous gradients proportional to the square-root of the classical Ca(2+) diffusion coefficient, D (1/2), matching the computing efficiency of Grover's quantum algorithm. In this Hypothesis and Theory article, I elaborate on these traits using a fire-diffuse-fire model of store-operated cytosolic Ca(2+) signaling valid for glutamatergic neurons. Salient model features corresponding to Grover's quantum algorithm are parameterized to meet requirements for the Oracle Hadamard transform and Grover's iteration. A neuronal version of Grover's quantum algorithm figures to benefit signal coincidence detection and integration, bidirectional synaptic plasticity, and other vital cell functions by rapidly selecting, ordering, and/or counting optional response regulation choices.
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Grover's algorithm can act as a subroutine of many complex algorithms used in computational biology for data processing, including protein sequence comparison, neuronal modeling of intracellular Ca2+ dynamics, and quantum machine learning algorithms.
“It can act as a subroutine of many complex algorithms used in computational biology for data processing, such as advanced proposition in protein sequence comparison [49], the neuronal version to understand the intracellular Ca 2 + dynamics [50], and leading algorithms in the quantum domain of machine learning [51].”
From Quantum Computing in the Next-Generation Computational Biology Landscape: From Protein Folding to Molecular Dynamics (2024) · cites this paper as [50]
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Pal, S., Bhattacharya, M., Lee, S.-S., & Chakraborty, C. (2024) · Molecular Biotechnology · doi:10.1007/s12033-023-00765-4 · Cited by 84 · see citing works
“…of many complex algorithms used in computational biology for data processing, such as advanced proposition in protein sequence comparison [49], the neuronal version to understand the intracellular Ca 2 + dynamics [50], and leading algorithms in the quantum domain of machine learning [51].”
- Authors
- Clark, K. B.
- Affiliations
- VA Greater Los Angeles Healthcare System (US)
- Corresponding author
- Clark, Kevin B.
- ORCID
- Clark, Kevin B.
- Venue
- Frontiers in Molecular Neuroscience
- Publisher
- Frontiers Media SA
- Published
- 2014-04-17
- Volume
- 7
- Pages
- 29-29
- ISSN
- 1662-5099 (ISSN-L)
- PMC
- PMC4029008
- OpenAlex
- W2074759059
- Cited by
- 16
- References
- 186
- Citations by year
- 2024: 2 · 2023: 5 · 2021: 5 · 2019: 1 · 2017: 1 · 2015: 1 · 2013: 1
- FWCI
- 0.27
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- cc-by
- Locations
- Frontiers in Molecular Neuroscience (publishedVersion, cc-by)
- Europe PMC (PubMed Central) (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- Topics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › DNA and Biological Computing
- Life Sciences › Neuroscience › Sensory Systems › Ion Channels and Receptors
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Keywords
- Grover's algorithm, quantum search, neural computation, calcium wave propagation, intracellular calcium signaling, glutamatergic neurons, synaptic plasticity
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