Theoretical study of a new method for the quantum computer implementation based on self-organizing structures: the essence of new proposals and argumentation

TL;DR

This paper explores the application of self-organizing structures theory to quantum computer implementation, proposing that certain dissipative and equilibrium structures can form stable qubit networks through phase transitions and long-range order.

Contribution

It introduces a new theoretical approach for quantum computer design based on self-organizing structures, emphasizing their potential to form robust qubit networks and reduce decoherence.

Findings

Self-organizing structures can form qubit networks.

Conditions for mode distribution and field crystallization are identified.

Systems capable of self-organization can suppress temperature-induced decoherence.

Abstract

General key problems in relation to the application of self-organizing structures theory to the analysis of current cooperative phenomena are discussed. Particularly, we present the new results of the analysis of burning problem to form a qubit network. Recently [Proc. of the Inst. of Physics and Technol. of Russian Acad. of Sci. (Trudy FTIAN), vol. 25 (accepted for publication on Jan. 15, 2015)] we have proposed a new method for quantum computer implementation based on self-organizing structures. Here we consider in detail the essence of new proposals and theoretical argumentation. We have shown that some self-organizing structures, both dissipative ones and thermodynamically equilibrium structures with off-diagonal long-range order, are promising to form a qubit network. This is confirmed by our results of the investigations relative to the following items: an open resonator with periodic boundaries, conditions to create specific distribution of the modes and the effect of the field crystallization, the use of this effect to create an proficient and coherentized system of neutral atoms traps and to achieve their precise localization; the equilibrium systems which can go, at temperatures below critical ones, into the special state with off-diagonal long-range order (i.e. to the state with macroscopic quantum coherence), phase transition (photons condensation) in the two-level atoms interacting with radiation mode in the resonator, superradiant phase transition, the order-disorder type ferroelectrics in the cavity electromagnetic field, the advantage of the systems capable to self-organization, including the suppression of the temperature influence as the decoherence factor acting on the work states of the qubits (atoms, ferroelectric molecules), and also the coherent character of the direct dipole-dipole interaction between qubits (in the case of ferroelectrics), and other items.