Fault-Tolerant Quantum Computation by Hybrid Qubits with Bosonic Cat Code and Single Photons
Hybridizing different degrees of freedom or physical platforms potentially offers various advantages in building scalable quantum architectures. Here, we introduce a fault-tolerant hybrid quantum computation by building on the advantages of both discrete-variable (DV) and continuous-variable (CV) sy...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2024-08-01
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| Series: | PRX Quantum |
| Online Access: | http://doi.org/10.1103/PRXQuantum.5.030322 |
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| _version_ | 1832582515867516928 |
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| author | Jaehak Lee Nuri Kang Seok-Hyung Lee Hyunseok Jeong Liang Jiang Seung-Woo Lee |
| author_facet | Jaehak Lee Nuri Kang Seok-Hyung Lee Hyunseok Jeong Liang Jiang Seung-Woo Lee |
| author_sort | Jaehak Lee |
| collection | DOAJ |
| description | Hybridizing different degrees of freedom or physical platforms potentially offers various advantages in building scalable quantum architectures. Here, we introduce a fault-tolerant hybrid quantum computation by building on the advantages of both discrete-variable (DV) and continuous-variable (CV) systems. In particular, we define a CV-DV hybrid qubit with a bosonic cat code and a single photon, which is implementable in current photonic platforms. Due to the cat code encoded in the CV part, the predominant loss errors are readily correctable without multiqubit encoding, while the logical basis is inherently orthogonal due to the DV part. We design fault-tolerant architectures by concatenating hybrid qubits and an outer DV quantum error-correction code such as a topological code, exploring their potential merit in developing scalable quantum computation. We demonstrate by numerical simulations that our scheme is at least an order of magnitude more resource efficient compared to all previous proposals in photonic platforms, allowing us to achieve a record-high loss threshold among existing CV and hybrid approaches. We discuss the realization of our approach not only in all-photonic platforms but also in other hybrid platforms including superconducting and trapped-ion systems, which allows us to find various efficient routes toward fault-tolerant quantum computing. |
| format | Article |
| id | doaj-art-68d88ef833974551a7829d27cf10c188 |
| institution | Kabale University |
| issn | 2691-3399 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | PRX Quantum |
| spelling | doaj-art-68d88ef833974551a7829d27cf10c1882025-01-29T16:11:28ZengAmerican Physical SocietyPRX Quantum2691-33992024-08-015303032210.1103/PRXQuantum.5.030322Fault-Tolerant Quantum Computation by Hybrid Qubits with Bosonic Cat Code and Single PhotonsJaehak LeeNuri KangSeok-Hyung LeeHyunseok JeongLiang JiangSeung-Woo LeeHybridizing different degrees of freedom or physical platforms potentially offers various advantages in building scalable quantum architectures. Here, we introduce a fault-tolerant hybrid quantum computation by building on the advantages of both discrete-variable (DV) and continuous-variable (CV) systems. In particular, we define a CV-DV hybrid qubit with a bosonic cat code and a single photon, which is implementable in current photonic platforms. Due to the cat code encoded in the CV part, the predominant loss errors are readily correctable without multiqubit encoding, while the logical basis is inherently orthogonal due to the DV part. We design fault-tolerant architectures by concatenating hybrid qubits and an outer DV quantum error-correction code such as a topological code, exploring their potential merit in developing scalable quantum computation. We demonstrate by numerical simulations that our scheme is at least an order of magnitude more resource efficient compared to all previous proposals in photonic platforms, allowing us to achieve a record-high loss threshold among existing CV and hybrid approaches. We discuss the realization of our approach not only in all-photonic platforms but also in other hybrid platforms including superconducting and trapped-ion systems, which allows us to find various efficient routes toward fault-tolerant quantum computing.http://doi.org/10.1103/PRXQuantum.5.030322 |
| spellingShingle | Jaehak Lee Nuri Kang Seok-Hyung Lee Hyunseok Jeong Liang Jiang Seung-Woo Lee Fault-Tolerant Quantum Computation by Hybrid Qubits with Bosonic Cat Code and Single Photons PRX Quantum |
| title | Fault-Tolerant Quantum Computation by Hybrid Qubits with Bosonic Cat Code and Single Photons |
| title_full | Fault-Tolerant Quantum Computation by Hybrid Qubits with Bosonic Cat Code and Single Photons |
| title_fullStr | Fault-Tolerant Quantum Computation by Hybrid Qubits with Bosonic Cat Code and Single Photons |
| title_full_unstemmed | Fault-Tolerant Quantum Computation by Hybrid Qubits with Bosonic Cat Code and Single Photons |
| title_short | Fault-Tolerant Quantum Computation by Hybrid Qubits with Bosonic Cat Code and Single Photons |
| title_sort | fault tolerant quantum computation by hybrid qubits with bosonic cat code and single photons |
| url | http://doi.org/10.1103/PRXQuantum.5.030322 |
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