Parallel Logical Measurements via Quantum Code Surgery
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866914546739838976 |
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| author | Cowtan, Alexander He, Zhiyang Williamson, Dominic J. Yoder, Theodore J. |
| author_facet | Cowtan, Alexander He, Zhiyang Williamson, Dominic J. Yoder, Theodore J. |
| contents | Quantum code surgery is a flexible and low overhead technique for performing logical measurements on quantum error-correcting codes, which generalises lattice surgery. In this work, we present a code surgery scheme, applicable to any qubit stabiliser low-density parity check (LDPC) code, that fault-tolerantly measures many logical Pauli operators in parallel. For a collection of logically disjoint Pauli product measurements supported on $t$ logical qubits, our scheme uses $O\big(t ω(\log t + \log^3ω)\big)$ ancilla qubits, where $ω\geq d$ is the maximum weight of the single logical Pauli representatives involved in the measurements, and $d$ is the code distance. This is all done in time $O(d)$ independent of $t$. Our proposed scheme preserves both the LDPC property and the fault-distance of the original code, without requiring ancillary logical codeblocks which may be costly to prepare. This addresses a shortcoming of several recently introduced surgery schemes which can only be applied to measure a limited number of logical operators in parallel if they overlap on data qubits. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_05003 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Parallel Logical Measurements via Quantum Code Surgery Cowtan, Alexander He, Zhiyang Williamson, Dominic J. Yoder, Theodore J. Quantum Physics Quantum code surgery is a flexible and low overhead technique for performing logical measurements on quantum error-correcting codes, which generalises lattice surgery. In this work, we present a code surgery scheme, applicable to any qubit stabiliser low-density parity check (LDPC) code, that fault-tolerantly measures many logical Pauli operators in parallel. For a collection of logically disjoint Pauli product measurements supported on $t$ logical qubits, our scheme uses $O\big(t ω(\log t + \log^3ω)\big)$ ancilla qubits, where $ω\geq d$ is the maximum weight of the single logical Pauli representatives involved in the measurements, and $d$ is the code distance. This is all done in time $O(d)$ independent of $t$. Our proposed scheme preserves both the LDPC property and the fault-distance of the original code, without requiring ancillary logical codeblocks which may be costly to prepare. This addresses a shortcoming of several recently introduced surgery schemes which can only be applied to measure a limited number of logical operators in parallel if they overlap on data qubits. |
| title | Parallel Logical Measurements via Quantum Code Surgery |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2503.05003 |