Repetition Cat Qubits for Fault-Tolerant Quantum Computation
We present a 1D repetition code based on the so-called cat qubits as a viable approach toward hardware-efficient universal and fault-tolerant quantum computation. The cat qubits that are stabilized by a two-photon driven-dissipative process exhibit a tunable noise bias where the effective bit-flip e...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2019-12-01
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| Series: | Physical Review X |
| Online Access: | http://doi.org/10.1103/PhysRevX.9.041053 |
| _version_ | 1819117553182572544 |
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| author | Jérémie Guillaud Mazyar Mirrahimi |
| author_facet | Jérémie Guillaud Mazyar Mirrahimi |
| author_sort | Jérémie Guillaud |
| collection | DOAJ |
| description | We present a 1D repetition code based on the so-called cat qubits as a viable approach toward hardware-efficient universal and fault-tolerant quantum computation. The cat qubits that are stabilized by a two-photon driven-dissipative process exhibit a tunable noise bias where the effective bit-flip errors are exponentially suppressed with the average number of photons. We propose a realization of a set of gates on the cat qubits that preserve such a noise bias. Combining these base qubit operations, we build, at the level of the repetition cat qubit, a universal set of fully protected logical gates. This set includes single-qubit preparations and measurements, not, controlled-not, and controlled-controlled-not (Toffoli) gates. Remarkably, this construction avoids the costly magic state preparation, distillation, and injection. Finally, all required operations on the cat qubits could be performed with slight modifications of existing experimental setups. |
| first_indexed | 2024-12-22T05:34:48Z |
| format | Article |
| id | doaj.art-c71bd01ef87144f7a791480e641bd700 |
| institution | Directory Open Access Journal |
| issn | 2160-3308 |
| language | English |
| last_indexed | 2024-12-22T05:34:48Z |
| publishDate | 2019-12-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review X |
| spelling | doaj.art-c71bd01ef87144f7a791480e641bd7002022-12-21T18:37:21ZengAmerican Physical SocietyPhysical Review X2160-33082019-12-019404105310.1103/PhysRevX.9.041053Repetition Cat Qubits for Fault-Tolerant Quantum ComputationJérémie GuillaudMazyar MirrahimiWe present a 1D repetition code based on the so-called cat qubits as a viable approach toward hardware-efficient universal and fault-tolerant quantum computation. The cat qubits that are stabilized by a two-photon driven-dissipative process exhibit a tunable noise bias where the effective bit-flip errors are exponentially suppressed with the average number of photons. We propose a realization of a set of gates on the cat qubits that preserve such a noise bias. Combining these base qubit operations, we build, at the level of the repetition cat qubit, a universal set of fully protected logical gates. This set includes single-qubit preparations and measurements, not, controlled-not, and controlled-controlled-not (Toffoli) gates. Remarkably, this construction avoids the costly magic state preparation, distillation, and injection. Finally, all required operations on the cat qubits could be performed with slight modifications of existing experimental setups.http://doi.org/10.1103/PhysRevX.9.041053 |
| spellingShingle | Jérémie Guillaud Mazyar Mirrahimi Repetition Cat Qubits for Fault-Tolerant Quantum Computation Physical Review X |
| title | Repetition Cat Qubits for Fault-Tolerant Quantum Computation |
| title_full | Repetition Cat Qubits for Fault-Tolerant Quantum Computation |
| title_fullStr | Repetition Cat Qubits for Fault-Tolerant Quantum Computation |
| title_full_unstemmed | Repetition Cat Qubits for Fault-Tolerant Quantum Computation |
| title_short | Repetition Cat Qubits for Fault-Tolerant Quantum Computation |
| title_sort | repetition cat qubits for fault tolerant quantum computation |
| url | http://doi.org/10.1103/PhysRevX.9.041053 |
| work_keys_str_mv | AT jeremieguillaud repetitioncatqubitsforfaulttolerantquantumcomputation AT mazyarmirrahimi repetitioncatqubitsforfaulttolerantquantumcomputation |