Parity-encoding-based quantum computing with Bayesian error tracking
Abstract Measurement-based quantum computing (MBQC) in linear optical systems is promising for near-future quantum computing architecture. However, the nondeterministic nature of entangling operations and photon losses hinder the large-scale generation of graph states and introduce logical errors. I...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Nature Portfolio
2023-04-01
|
| Series: | npj Quantum Information |
| Online Access: | https://doi.org/10.1038/s41534-023-00705-9 |
| _version_ | 1797836342576545792 |
|---|---|
| author | Seok-Hyung Lee Srikrishna Omkar Yong Siah Teo Hyunseok Jeong |
| author_facet | Seok-Hyung Lee Srikrishna Omkar Yong Siah Teo Hyunseok Jeong |
| author_sort | Seok-Hyung Lee |
| collection | DOAJ |
| description | Abstract Measurement-based quantum computing (MBQC) in linear optical systems is promising for near-future quantum computing architecture. However, the nondeterministic nature of entangling operations and photon losses hinder the large-scale generation of graph states and introduce logical errors. In this work, we propose a linear optical topological MBQC protocol employing multiphoton qubits based on the parity encoding, which turns out to be highly photon-loss tolerant and resource-efficient even under the effects of nonideal entangling operations that unavoidably corrupt nearby qubits. For the realistic error analysis, we introduce a Bayesian methodology, in conjunction with the stabilizer formalism, to track errors caused by such detrimental effects. We additionally suggest a graph-theoretical optimization scheme for the process of constructing an arbitrary graph state, which greatly reduces its resource overhead. Notably, we show that our protocol is advantageous over several other existing approaches in terms of the fault-tolerance and resource overhead. |
| first_indexed | 2024-04-09T15:07:15Z |
| format | Article |
| id | doaj.art-441edd5c903648ab892c46d53fefb4fa |
| institution | Directory Open Access Journal |
| issn | 2056-6387 |
| language | English |
| last_indexed | 2024-04-09T15:07:15Z |
| publishDate | 2023-04-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | npj Quantum Information |
| spelling | doaj.art-441edd5c903648ab892c46d53fefb4fa2023-04-30T11:23:28ZengNature Portfolionpj Quantum Information2056-63872023-04-019111210.1038/s41534-023-00705-9Parity-encoding-based quantum computing with Bayesian error trackingSeok-Hyung Lee0Srikrishna Omkar1Yong Siah Teo2Hyunseok Jeong3Department of Physics and Astronomy, Seoul National UniversityORCA ComputingDepartment of Physics and Astronomy, Seoul National UniversityDepartment of Physics and Astronomy, Seoul National UniversityAbstract Measurement-based quantum computing (MBQC) in linear optical systems is promising for near-future quantum computing architecture. However, the nondeterministic nature of entangling operations and photon losses hinder the large-scale generation of graph states and introduce logical errors. In this work, we propose a linear optical topological MBQC protocol employing multiphoton qubits based on the parity encoding, which turns out to be highly photon-loss tolerant and resource-efficient even under the effects of nonideal entangling operations that unavoidably corrupt nearby qubits. For the realistic error analysis, we introduce a Bayesian methodology, in conjunction with the stabilizer formalism, to track errors caused by such detrimental effects. We additionally suggest a graph-theoretical optimization scheme for the process of constructing an arbitrary graph state, which greatly reduces its resource overhead. Notably, we show that our protocol is advantageous over several other existing approaches in terms of the fault-tolerance and resource overhead.https://doi.org/10.1038/s41534-023-00705-9 |
| spellingShingle | Seok-Hyung Lee Srikrishna Omkar Yong Siah Teo Hyunseok Jeong Parity-encoding-based quantum computing with Bayesian error tracking npj Quantum Information |
| title | Parity-encoding-based quantum computing with Bayesian error tracking |
| title_full | Parity-encoding-based quantum computing with Bayesian error tracking |
| title_fullStr | Parity-encoding-based quantum computing with Bayesian error tracking |
| title_full_unstemmed | Parity-encoding-based quantum computing with Bayesian error tracking |
| title_short | Parity-encoding-based quantum computing with Bayesian error tracking |
| title_sort | parity encoding based quantum computing with bayesian error tracking |
| url | https://doi.org/10.1038/s41534-023-00705-9 |
| work_keys_str_mv | AT seokhyunglee parityencodingbasedquantumcomputingwithbayesianerrortracking AT srikrishnaomkar parityencodingbasedquantumcomputingwithbayesianerrortracking AT yongsiahteo parityencodingbasedquantumcomputingwithbayesianerrortracking AT hyunseokjeong parityencodingbasedquantumcomputingwithbayesianerrortracking |