Method and device for providing anyons, use of the device
The present description relates to a method and a device for providing anyons that may be used for topological quantum computation. The method comprises the steps of providing a magnetic material containing at least one magnetic texture providing a superconductor containing at least one vortex; creating at least one magnetic texture-vortex pair by coupling the magnetic material to the superconductor, wherein each magnetic texture-vortex pair binds an anyon being localized at the vortex of the respective magnetic texture-vortex pair in the superconductor.
1. A method for providing at least one anyon that is usable for topological quantum computation, the method comprising:
providing a magnetic material containing at least one magnetic texture, wherein the magnetic material is structured to form a grid of magnetic material, wherein the grid of magnetic material forms a plurality of paths in which the at least one magnetic texture is movable;
providing a superconductor containing at least one vortex; and
creating at least one magnetic texture-vortex pair by coupling the magnetic material to the superconductor, wherein each magnetic texture-vortex pair binds an anyon being localized at the vortex of the respective magnetic texture-vortex pair in the superconductor.
2. The method of claim 1 , wherein the at least one magnetic texture includes a skyrmion.
3. The method of claim 1 , wherein the at least one magnetic texture-vortex pair includes a skyrmion-vortex pair.
4. The method of claim 1 , wherein the anyon is a Majorana zero mode.
5. The method of claim 1 , wherein coupling the magnetic material to the superconductor includes arranging the magnetic material and the superconductor such that a heterostructure based on the magnetic material and the superconductor is formed.
6. The method of claim 1 , further comprising:
moving at least two magnetic texture-vortex pairs by means of spintronic techniques such that the anyons that are bound to the moved magnetic texture-vortex pairs are braided,
wherein the spintronic techniques include applying magnetic field gradients to the magnetic material, applying electric fields to the magnetic material, inducing spin torques in the magnetic material, inducing magnons in the magnetic material, generating temperature gradients within the magnetic material, and/or generating thermal fluctuations within the magnetic material.
7. The method of claim 1 , wherein two magnetic texture-vortex pairs are braided by moving the two magnetic texture-vortex pairs by means of at least one scanning-tunnelling microscope tip and/or by applying currents in the magnetic material.
8. The method of claim 1 , further comprising reading out information by fusing two anyons.
9. The method of claim 1 , wherein providing the magnetic material includes structuring the magnetic material to form a grid of magnetic material, and
wherein the grid of magnetic material comprises a plurality of electrodes and/or wherein the grid of magnetic material comprises gaps having a rectangular or a triangular cross section.
10. The method according to claim 1 , further comprising:
creating at least two magnetic texture-vortex pairs by coupling the magnetic material to the superconductor, wherein a first magnetic texture-vortex pair binds a first anyon being localized at the vortex of the respective magnetic texture-vortex pair in the superconductor and a second magnetic texture-vortex pair binds a second anyon being localized at the vortex of the respective magnetic texture-vortex pair in the superconductor; and
providing a qubit by braiding the first and second anyons.
11. The method according to claim 10 , further comprising:
reading out information by fusing the first and second anyons.
12. A device for providing at least one anyon, the device comprising:
a magnetic material which, in an operational mode of the device, contains at least one magnetic texture, wherein the magnetic material is structured to form a grid of magnetic material, wherein the grid of magnetic material forms a plurality of paths in which the at least one magnetic texture is movable; and
a superconductor which, in the operational mode of the device, contains at least one vortex,
wherein the magnetic material and the superconductor are arranged to be coupled to each other such that at least a magnetic texture-vortex pair is created in the operational mode of the device,
wherein each magnetic texture-vortex pair binds an anyon being localized at the vortex of the respective magnetic texture-vortex pair in the superconductor.
13. The device of claim 12 , wherein the magnetic material and the superconductor form a heterostructure, and/or wherein an insulating layer is arranged between the magnetic material and the superconductor.
14. The device of claim 12 , wherein the magnetic material is structured to form a grid of magnetic material, wherein the grid has a rectangular or a triangular geometry.
15. The device of claim 12 , wherein the magnetic material is structured to form a grid of magnetic material, wherein the grid comprises gaps having a rectangular or a triangular cross section.
16. The device of claim 12 , wherein the magnetic material is structured to form a grid of magnetic material, wherein the grid comprises a plurality of electrodes to which a voltage is applicable.
17. The device of claim 12 , wherein each of the paths has two end portions and wherein each of the end portions comprises an electrode.
18. The device of claim 12 , further comprising an operating unit which is configured to operate the magnetic material and the superconductor in the operational mode.
19. A device for quantum computation, the device comprising:
a magnetic material which, in an operational mode of the device, contains at least one magnetic texture; and
a superconductor which, in the operational mode of the device, contains at least one vortex,
wherein the magnetic material and the superconductor are arranged to be coupled to each other such that at least four magnetic texture-vortex pairs are created in the device,
wherein each of the at least four magnetic texture-vortex pairs binds a respective anyon being localized at the vortex of the respective magnetic texture-vortex pair in the superconductor; and
means for braiding a first anyon and a second anyon to provide a first qubit and for braiding a third anyon and a fourth anyon to provide second qubit,
wherein the first qubit and second qubit are configured to form a quantum circuit for quantum computation.
20. The device of claim 19 , wherein braiding the first anyon and second anyon and braiding the third anyon and the fourth anyon includes moving at least two of the magnetic texture-vortex pairs with counterpropagating currents.