Quantum Biomimetics and the Cloning of Quantum Observables

M. Sanz^a, U. Alvarez-Rodriguez^a, P. Pfeiffer^a, L. Lamata^a, E. Solano^a,b

^aDepartment of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, E-48080 Bilbao, Spain.

^bIKERBASQUE, Basque Foundation for Science, Alameda Urquijo 36, 48011 Bilbao, Spain.

We introduce the concept of Quantum Biomimetics and, as an example, we propose a bio-inspired sequential quantum protocol for the cloning and preservation of the statistics associated to quantum observables of a given system. It combines the cloning of a set of commuting observables, permitted by the no-cloning and no-broadcasting theorems, with a controllable propagation of the initial state coherences to the subsequent generations. The protocol mimics the scenario in which an individual in an unknown quantum state copies and propagates its quantum information into an environment of blank qubits. Additionally, we propose a realistic experimenta implementation of this protocol in trapped ions. Finally, we will mention also other results including mutations and natural selection [2], quantum artificial life [3], and quantum neurons [4][5].

[1] U. Alvarez-Rodríguez, M. Sanz, L. Lamata, and E. Solano, ‘Biomimetic Cloning of Quantum Observables’, Scientific Reports 4, 4910 (2014)

[2] U. Alvarez-Rodríguez, M. Sanz, Y. Omar, L. Lamata, and E. Solano, in preparation.

[3] P. Pfeiffer, M. Sanz, and E. Solano, “Growth and Evolution in a Quantum Model”, in preparation

[4] U. Alvarez-Rodríguez, M. Sanz, L. Lamata, and E. Solano, “The Forbidden Quantum Sum”, in preparation

[5] P. Pfeiffer, M. Sanz, and E. Solano, “The Quantum Hodgkin-Huxley Model”, in preparation.