From two types of electrostatic position-dependent semiconductor qubits to quantum universal gates and hybrid semiconductor-superconducting quantum computer

Abstract

From two types of electrostatic position-dependent semiconductor qubits to quantum universal gates and hybrid semiconductor-superconducting quantum computer," Proc. ABSTRACTProperties of two types of position-dependent electrostatic qubits: eigenenergy-based and Wannier-based, are treated with Schrödinger formalism. Their operating principles are given. The corresponding quantum universal gates for selected qubit types are described and their possible implementation is suggested. The modeling methodology of setting and reading semiconductor qubit is suggested. The interface between superconducting and semiconductor quantum computer is proposed and its implementation and operating principles are described.

Analytic view on N body interaction in electrostatic quantum gates and decoherence effects in tight-binding model

“…It motivates us to study the physics of quantum information processing in such devices. First study of such structures was conducted by Fujisawa [2], Petta [3] and continued by many others as Pomorski [6], [18], Imran [1], Panagiotis, Leipold [5], [4]. [6], [13] and its correspondence to Bloch sphere [18].…”

“…Such presented evolution of position-based qubit is under the circumstances of small adiabatic changes in t s (t) and in E p1 (t), E p2 (t). It is not the case of a qubit subjected to the rapid AC field that will support the existence of resonant states [6]. The presented tight-binding approach can be seen as simplified version of Hubbard model when omission of spin was done [7].…”

Description of interface between semiconductor electrostatic qubit and Josephson junction in tight binding model

“…It will also have special complex-valued hopping constants for electron and hole in area of superconductor that will incorporate the profile of magnetic field present across Josephson junction. Specified Hamiltonian describing electrostatic interface between superconducting Josephson junction and semiconductor position-based qubit has the following parameters describing the state of position based semiconductor qubit E p1 , E p2 , t s = t sr + it is (4 real valued time dependent functions), and parameters describing the state of Josephson junction 1) , t e (2,3) , t e(3,0) , t h(1,0) , t h(2,1) , t h(2,3) , t h(3,0) as well as geometrical parameters describing electrostatic interaction between semiconductor JJ and semiconductor qubit by a and b. It is worth mentioning that electrostatic interaction taken into account is only between nodes 1-1s, 1-2s,2-1s,2-2s what means 4 channels for Coulomb interaction and simplifies the model greatly so one can find analytical solutions as well.…”

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

“…TECHNOLOGICAL MOTIVATION Single-electron semiconductor devices are now actively researched for their potential in realizing quantum computers (QC), and especially for implementing single-chip CMOS QCs that are fully integrated with their surrounding electronics [1]. They were studied by Fujisawa [2], Petta [3], Leipold [4], Giounanlis [5], Pomorski [6] and many others. On the other hand, one of the most successful models in condensed matter physics is Hubbard model and its special case known as tightbinding model [7].…”

“…It is not the case of a qubit subjected to the rapid AC field that will support the existence of resonant states [6].…”