Towards quantum internet and non-local communication in position based qubits

Abstract

Non-local communication among position based qubits is described for the system of the quantum electromagnetic resonator entangled to two semiconductor electrostatic qubits via interaction between matter and radiation by Jaynes-Cummings tight-binding Hamiltonian. Principle of quantum communication between position dependent qubits is explained with usage of simplistic model. All stages of derivation are presented. The case of two semiconductor position-dependent qubits interacting with quantum electromagnetic cavity is discussed and general form of tight-binding Hamiltonian is derived with renormalized tight-binding coefficients. The obtained results bring foundation for the construction of quantum networks and prospect of quantum internet. The presented work brings the perspective of creation of quantum communication networks between electrostatic position based qubits that are implementable in semiconductor single electron devices and in particular in current CMOS technologies. The case of two capacitively interacting qubits biased to quantum electromagnetic cavity is also described.