The present disclosure provides a method of operation of a quantum processing element and an advanced processing apparatus comprising a plurality of quantum processing elements operated in accordance with the method. Embodiments of the methods disclosed allow using the quantum properties of an MOS structure and a donor atom embedded in the semiconductor to implement electron and nuclear spin qubits and provide multi-qubit coupling, including coupling at longer distances facilitated by a resonator.
Please help me write a proper abstract based on the patent claims. CLAIM: 1-46. (canceled) 47. A method of operation of a quantum processing element, the processing element comprising a semiconductor and a dielectric material forming an interface with the semiconductor, a donor atom embedded in the semiconductor at a distance from the interface, and a conductive electrode disposed on the dielectric material, the method comprising the steps of: applying a continuous magnetic field to the quantum processing element to separate spin states associated with an electron and a nucleus of the donor atom; applying an oscillating magnetic field which oscillates at a frequency close to a Zeeman frequency of the electron; and applying an oscillating electric field in a region between the interface and the donor atom to modulate a hyperfine interaction between the electron and the nucleus and control the quantum state of a quantum bit associated with a spin of the nucleus; wherein the frequency of the oscillating magnetic field is selected based on a frequency of the oscillating electric field. 48. The method of claim 47 wherein the frequency of the oscillating electric signal is selected to be detuned from the orbital excitation frequency of the electron to prevent orbital excitation of the electron. 49. The method of claim 47 wherein the frequency of the oscillating magnetic field is selected to be detuned from the electron spin excitation frequency to prevent flipping of the electron spin quantum state. 50. The method of claim 47 wherein the oscillating electric signal and oscillating magnetic field are applied simultaneously to induce a transition in the quantum state of the quantum bit. 51. The method of claim 47 wherein the frequency of the oscillating magnetic field is selected to be smaller than the frequency of the oscillating electric signal by an amount equal to a nuclear spin Zeeman frequency. 52. The method of claim 47 wherein the method further comprises the step of applying a biasing electric signal to the electrode to bias the electron in a region of high sensitivity of the hyperfine interaction to the electric field. 53. The method of claim 47 wherein the method further comprises the step of applying a biasing electric signal to the electrode such that approximately half of the electron density resides at the interface, and the other half at the embedded donor atom. 54. The method of claim 47 wherein the method further comprises the step of applying a biasing electric signal to bias the electron in a region in proximity of the interface to minimise an interaction of the quantum state of the quantum bit with an external electromagnetic environment. 55. The method of claim 47 wherein the method further comprises the step of applying a biasing electric signal to bias the electron in a region close to the nucleus to minimise an interaction of the quantum state of the quantum bit with an external electromagnetic environment. 56. The method of claim 47 wherein the method further comprises the step of applying an electric signal to the conductive electrode to displace the electron and create an electric dipole associated with the processing element. 57. The method of claim 56 wherein the method further comprises the step of maintaining the electric dipole for a predetermined period of time to enable coupling with another electric dipole of another processing element via dipole-dipole interaction. 58. The method of claim 47 wherein the method further comprises the steps of confining electromagnetic field modes into a spatial region in proximity of the processing element. 59. The method of claim 58 wherein the electromagnetic field modes are quantized to comprise zero, one or more photons and wherein the interaction of the quantized electromagnetic field modes and the electron enables coupling of the one or more photons to the quantum state of the quantum bit. 60. The method of claim 59 wherein the electromagnetic field modes are confined in a resonator; the resonator comprising a microwave resonating cavity or a coplanar waveguide resonator; and the method further comprises the step of using the quantized electromagnetic modes of the resonator to couple the quantum state of the quantum bit of another processing element to enable long distance quantum bit coupling. 61. A method of coupling quantum states of two processing elements, each of the processing elements comprising: a semiconductor and a dielectric material forming an interface with the semiconductor, a donor atom embedded in the semiconductor at a given distance from the interface, and a conductive electrode disposed on the dielectric material, the method comprising the steps of: applying a continuous magnetic field to the quantum processing elements to separate spin states associated with an electron and a nucleus of the donor atoms; and applying an electric signal to each of the conductive electrodes to displace the electrons and create two electric dipoles associated with the respective processing elements to enable coupling of the quantum states of the two quantum bits associated with the two processing elements. 62. A method of coupling quantum states of two processing elements, each of the processing elements comprising a semiconductor and a dielectric material forming an interface with the semiconductor, a donor atom embedded in the semiconductor at a given distance from the interface, and a conductive electrode disposed on the dielectric material, the method comprising the steps of: applying a continuous magnetic field to the quantum processing elements to separate spin states associated with an electron and a nucleus of the donor atoms; applying an oscillating magnetic field which oscillates at a frequency close to a Zeeman frequency of the electron to each of the processing elements; and applying an electric signal to each of the conductive electrodes to displace the electrons and create two electric dipoles associated with the respective processing elements to enable coupling of the quantum states of the two quantum bits associated with the two processing elements. 63. A method of coupling quantum states of two processing elements, each of the processing elements comprising: a semiconductor and a dielectric material forming an interface with the semiconductor, a donor atom embedded in the semiconductor at a given distance from the interface, and a conductive electrode disposed on the dielectric material, the method comprising the steps of: applying a continuous magnetic field to the quantum processing elements to separate spin states associated with an electron and a nucleus of the donor atoms; and confining electromagnetic field modes into a spatial region in proximity of the processing elements in a manner such that a quantized electric field is induced in the region between the interface and the donor atom to modulate a hyperfine interaction between the electron and the nucleus of each processing element and couple the quantum state of a quantum bit associated with a pair of electron-nuclear spin eigenstates of one processing element to a quantum bit associated with a pair of electron-nuclear spin eigenstates of the other processing element. 64. A method of coupling quantum states of two processing elements, each of the processing elements comprising: a semiconductor and a dielectric material forming an interface with the semiconductor, a donor atom embedded in the semiconductor at a given distance from the interface, and a conductive electrode disposed on the dielectric material, the method comprising the steps of: applying a continuous magnetic field to the quantum processing elements to separate spin states associated with an electron and a nucleus of the donor atoms; applying an oscillating magnetic field which oscillates at a frequency close to a Zeeman frequency of the electron to each of the processing elements; and confining electromagnetic field modes into a spatial region in proximity of the processing elements in a manner such that a quantized electric field is induced in the region between the interface and the donor atom to modulate a hyperfine interaction between the electron and the nucleus of each processing element and couple the quantum state of a quantum bit associated with a nuclear spin of one processing element to a quantum bit associated with a nuclear spin of the other processing element; wherein a frequency of the oscillating magnetic field is selected based on a resonance frequency of the quantized electromagnetic field. 65. An advanced quantum processing apparatus, comprising a plurality of processing elements disposed in an electromagnetic resonator; each of processing elements comprising: a semiconductor and a dielectric material forming an interface; a donor atom embedded in the semiconductor at a given distance from the interface; a conductive electrode disposed on the dielectric material; wherein each processing element is disposed in relation to the electromagnetic resonator in a manner such that an electromagnetic field mode confined into the resonator induces a quantized electric field in the region between the interface and the donor atom and couples to the quantum state of a quantum bit associated with a pair of electron-nuclear spin eigenstates of the electron and the nucleus or with a nuclear spin of one or more of the processing elements. 66. The apparatus of claim 65 wherein each processing element is disposed in relation to the electromagnetic resonator in a manner such that an electromagnetic field mode propagating into the resonator induces a modulation of the hyperfine interaction between the electron and the nucleus of one or more of the processing elements.