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US 12,762,458 B2Granted
Quantum encoding circuit for 5-qubit error correcting code
AssigneeElectronics and Telecommunications Research Institute
InventorsTaewan Kim, Yongsoo Hwang
Life of this patent
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Abstract
Disclosed are quantum circuits, and more particularly, to a quantum encoding circuit for a 5-qubit error correction code. A quantum encoding circuit for a 5-qubit error correction code according to one embodiment of the present document can be implemented with a circuit comprising rotation gate(s), CNOT gate(s), and CZ gate(s). A quantum encoding circuit for a 5-qubit error correction code according to another embodiment of the present document can be implemented with a circuit comprising rotation gate(s) and CZ gate(s), without CNOT gates.
Claims12
A quantum encoding circuit comprising:
- a first layer including a first CNOT gate configured to perform a CNOT operation on a second physical qubit based on a first physical qubit, a first rotation gate configured to rotate a third physical qubit by π/2 around a Y-axis, a second rotation gate configured to rotate a fourth physical qubit by π/2 around the Y-axis, and a third rotation gate configured to rotate a fifth physical qubit by π/2 around an X-axis;
- a second layer including a second CNOT gate configured to perform a CNOT operation on the first physical qubit, operated in the first layer, based on the third physical qubit operated in the first layer, and a third CNOT gate configured to perform a CNOT operation on the second physical qubit, operated in the first layer, based on the fifth physical qubit operated in the first layer;
- a third layer including a fourth rotation gate configured to rotate the first physical qubit, operated in the second layer, by π/2 around a Z-axis, and a fourth CNOT gate configured to perform a CNOT operation on the fifth physical qubit, operated in the second layer, based on the fourth physical qubit operated in the first layer;
- and
- a fourth layer including a fifth CNOT gate configured to perform a CNOT operation on the first physical qubit, operated in the third layer, based on the fourth physical qubit operated in the third layer, and a first CZ gate configured to perform a CZ operation between the third physical qubit operated in the second layer and the fifth physical qubit operated in the third layer.
2 more elements
A quantum encoding circuit comprising:
- a first CNOT gate configured to perform a CNOT operation on a second physical qubit based on a first physical qubit;
- a first rotation gate configured to rotate a third physical qubit by π/2 around a Y-axis;
- a second rotation gate configured to rotate a fourth physical qubit by π/2 around the Y-axis;
- a third rotation gate configured to rotate a fifth physical qubit by π/2 around an X-axis;
- a second CNOT gate configured to perform a CNOT operation on the first physical qubit, operated by the first CNOT gate, based on the third physical qubit operated by the first rotation gate;
- a third CNOT gate configured to perform a CNOT operation on the second physical qubit, operated by the first CNOT gate, based on the fifth physical qubit operated by the third rotation gate;
- a fourth rotation gate configured to rotate the first physical qubit, operated by the second CNOT gate, by π/2 around a Z-axis;
- a fourth CNOT gate configured to perform a CNOT operation on the fifth physical qubit, operated by the third CNOT gate, based on the fourth physical qubit operated by the second rotation gate;
- a fifth CNOT gate configured to perform a CNOT operation on the first physical qubit, operated by the fourth rotation gate, based on the fourth physical qubit operated by the fourth CNOT gate;
- and
- a first CZ gate configured to perform a CZ operation between the third physical qubit operated by the second CNOT gate and the fifth physical qubit operated by the fourth CNOT gate.
8 more elements
A quantum encoding circuit comprising:
- a first rotation gate configured to rotate a first physical qubit by π/2 around a Z-axis;
- a second rotation gate configured to rotate a second physical qubit by π/2 around a Y-axis;
- a third rotation gate configured to rotate a third physical qubit by π/2 around the Y-axis;
- a fourth rotation gate configured to rotate a fourth physical qubit by π/2 around the Y-axis;
- a fifth rotation gate configured to rotate a fifth physical qubit by π/2 around an X-axis;
- a first CZ gate configured to perform a CZ operation between the first physical qubit operated by the first rotation gate and the second physical qubit operated by the second rotation gate;
- a second CZ gate configured to perform a CZ operation between the third physical qubit operated by the third rotation gate and the fifth physical qubit operated by the fifth rotation gate;
- a sixth rotation gate configured to rotate the first physical qubit, operated by the first CZ gate, by π/2 around a Y-axis;
- a third CZ gate configured to perform a CZ operation between the first physical qubit operated by the sixth rotation gate and the fourth physical qubit operated by the fourth rotation gate;
- a fourth CZ gate configured to perform a CZ operation between the second physical qubit operated by the first CZ gate and the fifth physical qubit operated by the second CZ gate;
- a seventh rotation gate configured to rotate the first physical qubit, operated by the third CZ gate, by π/2 around an X-axis;
- an eighth rotation gate configured to rotate the fifth physical qubit, operated by the fourth CZ gate, by π/2 around a Y-axis;
- a fifth CZ gate configured to perform a CZ operation between the first physical qubit operated by the seventh rotation gate and the third physical qubit operated by the second CZ gate;
- and
- a sixth CZ gate configured to perform a CZ operation between the fourth physical qubit operated by the third CZ gate and the fifth physical qubit operated by the eighth rotation gate.
12 more elements
Dependencies are inferred from the claim text.