The smallest clock

Pesic, Peter

doi:10.1088/0143-0807/14/2/010

Cited by 10 publications

(9 citation statements)

References 11 publications

(6 reference statements)

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“…Whereas, the almost instantaneous and continuous chemical diffusion in an approximate 10- to 20-nm distance between two activation-primed IP 3 Rs (Shuai et al, 2006; Bruno et al, 2009; Smith and Parker, 2009) avoids violating Wigner-type quantum boundaries (cf. Pešić, 1993; Schwartz et al, 2005) and yields suitable conditions for expression of a quantum algorithm. Moreover, in terms of second messenger reaction-diffusion cascades and response regulation, stochastic punctate intracluster spatial patterns of diffusion often play significant roles in spark and wave initiation and are complemented by intermediate and overloaded ion-concentration magnitudes, which help force activation gradients, fast conduction velocities, and stable propagation to initiate cell responses (cf.…”

Section: Parameterizing the Neuronal Fire-diffuse-fire Model For Grovmentioning

confidence: 99%

Basis for a neuronal version of Grover's quantum algorithm

Clark

2014

Front. Mol. Neurosci.

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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(N1/2)) 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 Ca2+ 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 Ca2+-induced Ca2+ release and the search (or signaling) velocity of Ca2+ wave propagation. As chemical processes, such as the duration of Ca2+ mobilization, become rate-limiting over interstore distances, Ca2+ waves quadratically decrease interstore-travel time from slow saltatory to fast continuous gradients proportional to the square-root of the classical Ca2+ diffusion coefficient, D1/2, 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 Ca2+ 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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Section: Parameterizing the Neuronal Fire-diffuse-fire Model For Grovmentioning

confidence: 99%

Basis for a neuronal version of Grover's quantum algorithm

Clark

2014

Front. Mol. Neurosci.

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“…I am glad to see that my arguments [1] concerning the application of quantum mechanics to biological systems continue to provoke thought and interest even twenty years later, as instanced by the work of Davies [2] and Goel [3]. I also appreciate the thoughtful attention given to these issues by Brualla in his comment [4] and would like to respond to his main points.…”

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confidence: 89%

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Pesic¹

2013

Eur. J. Phys.

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“…For example, the energy-time uncertainty relation sets a fundamental limit to the operation of all quantum clocks [15][16][17] . For a clock of mass m and size l, Wigner found 15…”

Section: General Argumentsmentioning

confidence: 99%

“…The quantum uncertainty principles imply certain limitations on the fidelity of all molecular processes, including biologically important ones. For example, the energy-time uncertainty relation sets a fundamental limit to the operation of all quantum clocks [15][16][17] . For a clock of mass m and size l, Wigner found 15…”

Section: General Argumentsmentioning

confidence: 99%

Quantum fluctuations and life

Davies

2004

SPIE Proceedings

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There have been many claims that quantum mechanics plays a key role in the origin and/or operation of biological organisms, beyond merely providing the basis for the shapes and sizes of biological molecules and their chemical affinities. These range from the suggestion by Schrodinger that quantum fluctuations produce mutations, to the conjecture by Hameroff and Penrose that quantum coherence in microtubules is linked to consciousness. I review some of these claims in this paper, and discuss the serious problem of decoherence. I advance some further conjectures about quantum information processing in bio-systems. Some possible experiments are suggested.Comment: 10 pages, no figures, conference pape

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The smallest clock

Abstract: If one considers bacteria as clocks they may be the smallest clocks allowed by quantum mechanical considerations. Diffusion explains why such a small clock is calibrated in minutes. Similar considerations may also limit human nanotechnology.

Cited by 10 publications

References 11 publications

Basis for a neuronal version of Grover's quantum algorithm

Basis for a neuronal version of Grover's quantum algorithm

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Quantum fluctuations and life

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