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Quantum Algorithms and the Genetic Code

Apoorva Patel

Published 2000-02-14, updated 2001-02-06Version 3

Replication of DNA and synthesis of proteins are studied from the view-point of quantum database search. Identification of a base-pairing with a quantum query gives a natural (and first ever) explanation of why living organisms have 4 nucleotide bases and 20 amino acids. It is amazing that these numbers arise as solutions to an optimisation problem. Components of the DNA structure which implement Grover's algorithm are identified, and a physical scenario is presented for the execution of the quantum algorithm. It is proposed that enzymes play a crucial role in maintaining quantum coherence of the process. Experimental tests that can verify this scenario are pointed out.

Comments: Revtex, 11 pages, 3 figures. Invited lectures presented at the Winter Institute on ``Foundations of Quantum Theory and Quantum Optics'', 1-13 January 2000, S.N. Bose National Centre for Basic Sciences, Calcutta, India. To appear in the proceedings. (v2) Corrected typo in Fig.2 caption. (v3) Published version. Corrected typos and added some comments about enzymes
Journal: Pramana 56 (2001) 365
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