Variational circuit compiler for quantum error correction
Quantum error correction is vital for implementing universal quantum computing. A key component is the encoding circuit that maps a product state of physical qubits into the encoded multipartite entangled logical state. Known methods are typically not “optimal” either in terms of the circuit depth (...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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American Physical Society
2021
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| _version_ | 1797080842120462336 |
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| author | Xu, X Benjamin, SC Yuan, X |
| author_facet | Xu, X Benjamin, SC Yuan, X |
| author_sort | Xu, X |
| collection | OXFORD |
| description | Quantum error correction is vital for implementing universal quantum computing. A key component is the encoding circuit that maps a product state of physical qubits into the encoded multipartite entangled logical state. Known methods are typically not “optimal” either in terms of the circuit depth (and therefore the error burden) or the specifics of the target platform, i.e., the native gates and topology of a system. This work introduces a variational compiler for efficiently finding the encoding circuit of general quantum error-correcting codes with given quantum hardware. Focusing on the noisy intermediate-scale quantum regime, we show how to systematically compile the circuit following an optimizing process seeking to minimize the number of noisy operations that are allowed by the noisy quantum hardware or to obtain the highest fidelity of the encoded state with noisy gates. We demonstrate our method by deriving efficient encoders for logic states of the five-qubit code and the seven-qubit Steane code. We describe ways to augment the discovered circuits with error detection. Our method is applicable quite generally for compiling the encoding circuits of quantum error-correcting codes. |
| first_indexed | 2024-03-07T01:06:00Z |
| format | Journal article |
| id | oxford-uuid:8b5bf500-1896-4072-9c66-97f50116d8c9 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T01:06:00Z |
| publishDate | 2021 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:8b5bf500-1896-4072-9c66-97f50116d8c92022-03-26T22:37:36ZVariational circuit compiler for quantum error correctionJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:8b5bf500-1896-4072-9c66-97f50116d8c9EnglishSymplectic ElementsAmerican Physical Society2021Xu, XBenjamin, SCYuan, XQuantum error correction is vital for implementing universal quantum computing. A key component is the encoding circuit that maps a product state of physical qubits into the encoded multipartite entangled logical state. Known methods are typically not “optimal” either in terms of the circuit depth (and therefore the error burden) or the specifics of the target platform, i.e., the native gates and topology of a system. This work introduces a variational compiler for efficiently finding the encoding circuit of general quantum error-correcting codes with given quantum hardware. Focusing on the noisy intermediate-scale quantum regime, we show how to systematically compile the circuit following an optimizing process seeking to minimize the number of noisy operations that are allowed by the noisy quantum hardware or to obtain the highest fidelity of the encoded state with noisy gates. We demonstrate our method by deriving efficient encoders for logic states of the five-qubit code and the seven-qubit Steane code. We describe ways to augment the discovered circuits with error detection. Our method is applicable quite generally for compiling the encoding circuits of quantum error-correcting codes. |
| spellingShingle | Xu, X Benjamin, SC Yuan, X Variational circuit compiler for quantum error correction |
| title | Variational circuit compiler for quantum error correction |
| title_full | Variational circuit compiler for quantum error correction |
| title_fullStr | Variational circuit compiler for quantum error correction |
| title_full_unstemmed | Variational circuit compiler for quantum error correction |
| title_short | Variational circuit compiler for quantum error correction |
| title_sort | variational circuit compiler for quantum error correction |
| work_keys_str_mv | AT xux variationalcircuitcompilerforquantumerrorcorrection AT benjaminsc variationalcircuitcompilerforquantumerrorcorrection AT yuanx variationalcircuitcompilerforquantumerrorcorrection |