Protected qubit based on superconducting current mirror
View Patent ↗A qubit implementation based on exciton condensation in capacitively coupled Josephson junction chains is disclosed. The qubit may be protected in the sense that unwanted terms in its effective Hamiltonian may be exponentially suppressed as the chain length increases. Also disclosed is an implementation of a universal set of quantum gates, most of which offer exponential error suppression.
1. A qubit circuit comprising a Josephson junction current mirror, the Josephson junction comprising a first chain of series coupled Josephson junctions coupled between first and fourth terminals and a second chain of series coupled Josephson junctions coupled between second and third terminals, wherein the first and second chains are diagonally coupled so that the first and third terminals are coupled together and the second and fourth terminals are coupled together.
2. The qubit circuit of claim 1 , wherein the first and third terminals are current input terminals and the second and fourth terminals are current output terminals.
3. The qubit circuit of claim 2 , wherein the terminals are coupled to the current mirror via superconducting wires.
4. The qubit circuit of claim 2 , wherein the second terminal is connected to the fourth terminal via a superconducting wire.
5. The qubit circuit of claim 4 , wherein the first terminal is connected to the third terminal via a superconducting wire.
6. The qubit circuit of claim 1 , wherein the qubit circuit comprises a fault-tolerant quantum gate.
7. The qubit circuit of claim 6 , wherein an ultraquantum LC-oscillator and switch are series coupled between the first and second terminals.
8. The qubit circuit of claim 1 , wherein each point between two adjacent Josephson junctions in the first chain is capacitively coupled to a corresponding point between two adjacent Josephson junctions in the second chain.
9. The qubit circuit of claim 1 , wherein a standard basis measurement circuit is coupled between the first and second terminals.
10. The qubit circuit of claim 1 , wherein a Josephson Junction is coupled between the first and second terminals.
11. The qubit circuit of claim 1 , wherein a Josephson Junction and a switch are series coupled between the first and second terminals.
12. A quantum gate comprising:
a partial qubit comprising:
a Josephson junction current mirror comprising a first chain of series coupled Josephson junctions coupled between first and fourth terminals and a second chain of series coupled Josephson junctions coupled between second and third terminals,
wherein the second terminal is connected to the fourth terminal via a superconducting wire; and
a circuit that is coupled between the first and third terminals, the circuit being adapted to provide for a measurement of a quantum state of the partial qubit.
13. The quantum gate of claim 12 , wherein the circuit comprises an offset charge measuring circuit.
14. The quantum gate of claim 13 , wherein the offset charge measuring circuit provides for measurement of a dual basis quantum state of the partial qubit.
15. The quantum gate of claim 14 , wherein the offset charge measuring circuit measures an energy spectrum of the current mirror.
16. A quantum gate comprising:
a first qubit circuit comprising a Josephson junction current mirror having a first chain of series coupled Josephson junctions coupled between first and fourth terminals and a second chain of series coupled Josephson junctions coupled between second and third terminals, wherein the first and second chains are diagonally coupled so that the first and third terminals are coupled together and the second and fourth terminals are coupled together and wherein standard basis states |0> and |1> are characterized by a superconducting phase difference 0 and π between the two external superconducting terminals; and
an inductor-capacitor circuit coupled between the first and second terminals, wherein the inductor-capacitor circuit is adapted to affect a quantum superposition of the standard basis states.
17. The quantum gate of claim 16 , wherein the first and third terminals are current input terminals and the second and fourth terminals are current output terminals.
18. The quantum gate of claim 17 , wherein the quantum gate further comprises a series coupled switch disposed between the inductor-capacitor circuit and the first qubit circuit.
19. The quantum gate of claim 18 , wherein the inductor-capacitor circuit is coupled to one of the current output terminals, and the switch is disposed between the inductor-capacitor circuit and one of the current input terminals.
20. The quantum gate of claim 19 , further comprising a second qubit circuit having the same configuration as the first qubit circuit, wherein the second qubit circuit is coupled to the inductor-capacitor circuit in series with the first qubit circuit.