Effectiveness of the syndrome extraction circuit with flag qubits on IBM quantum hardware

Fuente: arXiv
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Autores principales: Kim, Younghun, Kim, Hansol, Kang, Jeongsoo, Choi, Wonjae, Kwon, Younghun
Formato: Preprint
Publicado: 2024
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author Kim, Younghun
Kim, Hansol
Kang, Jeongsoo
Choi, Wonjae
Kwon, Younghun
author_facet Kim, Younghun
Kim, Hansol
Kang, Jeongsoo
Choi, Wonjae
Kwon, Younghun
contents Large scale quantum circuits are required to exploit the advantages of quantum computers. Despite significant advancements in quantum hardware, scalability remains a challenge, with errors accumulating as more qubits and gates are added. To overcome this limitation, quantum error-correction codes have been introduced. Although the success of quantum error correction codes has been demonstrated on superconducting quantum processors and neutral atom-based systems, there have been no experimental reports of error suppression using flag qubits on a quantum processor. IBM's quantum hardware features a non-topological coupling map, and past developments of quantum error correction codes on this platform have primarily explored the use of flag qubits. Here, we report the successful implementation of a syndrome extraction circuit with flag qubits on IBM quantum computers. Moreover, we demonstrate its effectiveness by considering the repetition code as a test code among the quantum error-correcting codes. Even though the data qubit is not adjacent to the syndrome qubit, logical error rates diminish as the distance of the repetition code increases from three to nine. Even when two flag qubits exist between the data and syndrome qubits, the logical error rates decrease as the distance increases similarly. This confirms the successful implementation of the syndrome extraction circuit with flag qubits on the IBM quantum computer.
format Preprint
id arxiv_https___arxiv_org_abs_2403_10217
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Effectiveness of the syndrome extraction circuit with flag qubits on IBM quantum hardware
Kim, Younghun
Kim, Hansol
Kang, Jeongsoo
Choi, Wonjae
Kwon, Younghun
Quantum Physics
Large scale quantum circuits are required to exploit the advantages of quantum computers. Despite significant advancements in quantum hardware, scalability remains a challenge, with errors accumulating as more qubits and gates are added. To overcome this limitation, quantum error-correction codes have been introduced. Although the success of quantum error correction codes has been demonstrated on superconducting quantum processors and neutral atom-based systems, there have been no experimental reports of error suppression using flag qubits on a quantum processor. IBM's quantum hardware features a non-topological coupling map, and past developments of quantum error correction codes on this platform have primarily explored the use of flag qubits. Here, we report the successful implementation of a syndrome extraction circuit with flag qubits on IBM quantum computers. Moreover, we demonstrate its effectiveness by considering the repetition code as a test code among the quantum error-correcting codes. Even though the data qubit is not adjacent to the syndrome qubit, logical error rates diminish as the distance of the repetition code increases from three to nine. Even when two flag qubits exist between the data and syndrome qubits, the logical error rates decrease as the distance increases similarly. This confirms the successful implementation of the syndrome extraction circuit with flag qubits on the IBM quantum computer.
title Effectiveness of the syndrome extraction circuit with flag qubits on IBM quantum hardware
topic Quantum Physics
url https://arxiv.org/abs/2403.10217