Characterizing Space-Constrained Implementability of Quantum Instruments via Signaling Conditions
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arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866912639539478528 |
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| author | Matsui, Kosuke Wu, Jun-Yi Yamasaki, Hayata Hsieh, Min-Hsiu Murao, Mio |
| author_facet | Matsui, Kosuke Wu, Jun-Yi Yamasaki, Hayata Hsieh, Min-Hsiu Murao, Mio |
| contents | Scaling up the number of qubits available on quantum processors remains technically demanding even in the long term; it is therefore crucial to clarify the number of qubits required to implement a given quantum operation. For the most general class of quantum operations, known as quantum instruments, the qubit requirements are not well understood, especially when mid-circuit measurements and delayed input preparation are permitted. In this work, we characterize lower and upper bounds on the number of qubits required to implement a given quantum instrument in terms of the causal structure of the instrument. We further apply our results to entanglement distillation protocols based on stabilizer codes and show that, in these cases, the lower and upper bounds coincide, so the optimal qubit requirement is determined. In particular, we compute that the optimal number of qubits is 3 for the $[[9,1,3]]$-code-based protocol and 4 for the $[[5,1,3]]$-code-based protocol. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_08313 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Characterizing Space-Constrained Implementability of Quantum Instruments via Signaling Conditions Matsui, Kosuke Wu, Jun-Yi Yamasaki, Hayata Hsieh, Min-Hsiu Murao, Mio Quantum Physics Scaling up the number of qubits available on quantum processors remains technically demanding even in the long term; it is therefore crucial to clarify the number of qubits required to implement a given quantum operation. For the most general class of quantum operations, known as quantum instruments, the qubit requirements are not well understood, especially when mid-circuit measurements and delayed input preparation are permitted. In this work, we characterize lower and upper bounds on the number of qubits required to implement a given quantum instrument in terms of the causal structure of the instrument. We further apply our results to entanglement distillation protocols based on stabilizer codes and show that, in these cases, the lower and upper bounds coincide, so the optimal qubit requirement is determined. In particular, we compute that the optimal number of qubits is 3 for the $[[9,1,3]]$-code-based protocol and 4 for the $[[5,1,3]]$-code-based protocol. |
| title | Characterizing Space-Constrained Implementability of Quantum Instruments via Signaling Conditions |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2510.08313 |