Fault-tolerant multi-qubit gates in Parity Codes
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909963116347392 |
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| author | Messinger, Anette Goeller, Christophe Lechner, Wolfgang |
| author_facet | Messinger, Anette Goeller, Christophe Lechner, Wolfgang |
| contents | We present a set of efficiently implementable logical multi-qubit gates in concatenated quantum error correction codes using parity qubits. In particular, we show how fault-tolerant high-weight rotation gates of arbitrary angle can be implemented on single physical qubits of a classical stabilizer code, or on localized regions of full quantum error correction codes. Similarly, we show how transversal CNOT gates can implement logical parity-controlled-NOT operations between arbitrarily many logical qubits. Both operation types can be implemented and in many cases parallelized without the use of lattice surgery or the need for complicated routing operations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_13335 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fault-tolerant multi-qubit gates in Parity Codes Messinger, Anette Goeller, Christophe Lechner, Wolfgang Quantum Physics We present a set of efficiently implementable logical multi-qubit gates in concatenated quantum error correction codes using parity qubits. In particular, we show how fault-tolerant high-weight rotation gates of arbitrary angle can be implemented on single physical qubits of a classical stabilizer code, or on localized regions of full quantum error correction codes. Similarly, we show how transversal CNOT gates can implement logical parity-controlled-NOT operations between arbitrarily many logical qubits. Both operation types can be implemented and in many cases parallelized without the use of lattice surgery or the need for complicated routing operations. |
| title | Fault-tolerant multi-qubit gates in Parity Codes |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2512.13335 |