Quantum computing using chiral qubits

1. An apparatus for performing quantum computing, the apparatus comprising:

a plurality of qubits, each of at least a subset of the plurality of qubits comprising a loop formed of a Dirac or Weyl semimetal and having at least two stable quantum states; and

at least one terahertz cavity coupled with the plurality of qubits, the terahertz cavity being configured to detect the quantum states of the qubits;

wherein each of at least the subset of qubits is configured to receive a circularly polarized radiation source, the radiation source being adapted to excite a chiral current in each of at least the subset of qubits, the quantum states of the plurality of qubits being a function of the chiral current.

2. The apparatus of claim 1 , wherein each of at least the subset of qubits comprises a ring of Dirac or Weyl semimetal having a diameter of about one micron or less.

3. The apparatus of claim 1 , wherein the Dirac or Weyl semimetal comprises at least one of zirconium pentatelluride (ZrTe 5 ), tantalum arsenide (TaAs), cadmium arsenide (Cd 3 As 2 ), trisodium bismuthide (Na 3 Bi), niobium arsenide (NbAs), niobium phosphide (NbP), and tantalum phosphide (TaP).

4. The apparatus of claim 1 , wherein an amplitude of the chiral current excited in each of at least the subset of qubits is a function of at least one of a frequency, intensity, duration and beam width of the circularly polarized radiation source.

5. The apparatus of claim 4 , wherein the frequency of the circularly polarized radiation source is in a far infrared spectrum.

6. The apparatus of claim 1 , wherein the terahertz cavity coupled with the plurality of qubits comprises a split ring resonator.

7. The apparatus of claim 1 , further comprising:

a first conductive layer, the plurality of qubits being disposed on at least a portion of an upper surface of the first conductive layer; and

a second conductive layer disposed on an upper surface of each of the plurality of qubits;

wherein a voltage indicative of chiral vortical effect is developed across the first and second conductive layers.

8. The apparatus of claim 7 , further comprising a first insulating layer disposed between the first conductive layer and the plurality of qubits, the first insulating layer electrically isolating the first conductive layer from the plurality of qubits.

9. The apparatus of claim 7 , further comprising a second insulating layer disposed between the upper surface of the plurality of qubits and the second conductive layer, the second insulating layer electrically isolating the second conductive layer from the plurality of qubits.

10. The apparatus of claim 7 , wherein the voltage indicative of chiral vortical effect is perpendicular to a plane of circulating chiral current in the plurality of qubits.

11. The apparatus of claim 1 , wherein the plurality of qubits are arranged in an array, with the qubits spaced in relative proximity to one another such that an electromagnetic field emitted by one qubit will influence one or more adjacent qubits so that the qubits will become entangled.

12. The apparatus of claim 1 , wherein each of at least a subset of the plurality of qubits comprises a main body portion comprising the Dirac or Weyl semimetal and first and second inductance coils, the main body portion and first and second inductive coils being electrically connected together in series to form a closed loop.

13. The apparatus of claim 12 , wherein the first inductive coil forms a read port of the apparatus and the second inductive coil forms a write port of the apparatus.

14. The apparatus of claim 12 , wherein the main body portion and the first and second inductive coils are fabricated monolithically on a same substrate.

15. The apparatus of claim 1 , wherein a frequency of the circularly polarized radiation source is configured such that a ratio of coherence time to gate time of each of at least the subset of qubits is at least about 10,000.

16. A method for performing quantum computing, the method comprising:

providing a plurality of qubits, each of at least a subset of the plurality of qubits comprising a loop formed of a Dirac or Weyl semimetal and having at least two stable quantum states, and at least one terahertz cavity coupled with the plurality of qubits, the terahertz cavity being configured to detect the quantum states of the qubits; and

exposing at least the subset of qubits to a circularly polarized radiation source whereby a chiral current is excited in each of at least the subset of qubits, the quantum states of the plurality of qubits being a function of the chiral current.

17. The method of claim 16 , further comprising modulating the chiral current in each of at least the subset of qubits by controlling at least one of a frequency, intensity, duration and beam width of the circularly polarized radiation source.

18. The method of claim 16 , wherein each of at least the subset of the plurality of qubits comprises a main body portion and first and second inductive coils, the method further comprising:

providing a readout port comprising a third inductive coil disposed proximate to the first inductive coil of a given one of the plurality of qubits; and

reading the quantum state of the given one of the plurality of qubits by measuring a current in the readout port which is indicative of the chiral current in the given one of the plurality of qubits.

19. The method of claim 18 , further comprising:

providing a write port comprising a fourth inductive coil disposed proximate to the second inductive coil of the given one of the plurality of qubits; and

writing the quantum state of the given one of the plurality of qubits by introducing a current in the write port which influences the chiral current in the given one of the plurality of qubits.

20. The method of claim 16 , further comprising arranging the plurality of qubits in an array, wherein the qubits are spaced in relative proximity to one another such that an electromagnetic field emitted by one qubit will influence one or more adjacent qubits so that the qubits will become entangled.