Evaluating Pauli errors on cluster states by weighted distances
The problem of evaluating the differences between quantum states before and after being affected by errors encoded in unitary transformations is addressed. Standard distance functions, e.g., the Bures length, are not fully adequate for such a task. Weighted distances are instead the appropriate info...
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| Format: | Article |
| Language: | English |
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John Wiley and Sons
2024
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| Online Access: | http://psasir.upm.edu.my/id/eprint/112828/ http://psasir.upm.edu.my/id/eprint/112828/1/112828.pdf |
| _version_ | 1848866048741212160 |
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| author | Choong, Pak Shen Girolami, Davide |
| author_facet | Choong, Pak Shen Girolami, Davide |
| author_sort | Choong, Pak Shen |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | The problem of evaluating the differences between quantum states before and after being affected by errors encoded in unitary transformations is addressed. Standard distance functions, e.g., the Bures length, are not fully adequate for such a task. Weighted distances are instead the appropriate information measures to quantify the distinguishability of multipartite states. Here, the previously introduced weighted Bures length and the newly defined weighted Hilbert-Schmidt distance are employed to quantify how much single-qubit Pauli errors alter cluster states. For both types of weighted distances, it is found that different errors of the same dimension change cluster states in a different way, i.e., their detectability is in general different. Indeed, they transform an ideal cluster state into a state whose weighted distances from the input depends on the specific chosen Pauli rotation, as well as the position of the affected qubit in the graph related to the cluster state. As these features are undetected by using standard distances, the study proves the usefulness of weighted distances to monitor key but elusive properties of many-body quantum systems. © 2024 Wiley-VCH GmbH. |
| first_indexed | 2025-11-15T14:14:25Z |
| format | Article |
| id | upm-112828 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T14:14:25Z |
| publishDate | 2024 |
| publisher | John Wiley and Sons |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-1128282024-11-06T04:34:20Z http://psasir.upm.edu.my/id/eprint/112828/ Evaluating Pauli errors on cluster states by weighted distances Choong, Pak Shen Girolami, Davide The problem of evaluating the differences between quantum states before and after being affected by errors encoded in unitary transformations is addressed. Standard distance functions, e.g., the Bures length, are not fully adequate for such a task. Weighted distances are instead the appropriate information measures to quantify the distinguishability of multipartite states. Here, the previously introduced weighted Bures length and the newly defined weighted Hilbert-Schmidt distance are employed to quantify how much single-qubit Pauli errors alter cluster states. For both types of weighted distances, it is found that different errors of the same dimension change cluster states in a different way, i.e., their detectability is in general different. Indeed, they transform an ideal cluster state into a state whose weighted distances from the input depends on the specific chosen Pauli rotation, as well as the position of the affected qubit in the graph related to the cluster state. As these features are undetected by using standard distances, the study proves the usefulness of weighted distances to monitor key but elusive properties of many-body quantum systems. © 2024 Wiley-VCH GmbH. John Wiley and Sons 2024 Article PeerReviewed text en cc_by_4 http://psasir.upm.edu.my/id/eprint/112828/1/112828.pdf Choong, Pak Shen and Girolami, Davide (2024) Evaluating Pauli errors on cluster states by weighted distances. Advanced Quantum Technologies, 7 (5). art. no. 2300267. ISSN 2511-9044 https://onlinelibrary.wiley.com/doi/epdf/10.1002/qute.202300267 10.1002/qute.202300267 |
| spellingShingle | Choong, Pak Shen Girolami, Davide Evaluating Pauli errors on cluster states by weighted distances |
| title | Evaluating Pauli errors on cluster states by weighted distances |
| title_full | Evaluating Pauli errors on cluster states by weighted distances |
| title_fullStr | Evaluating Pauli errors on cluster states by weighted distances |
| title_full_unstemmed | Evaluating Pauli errors on cluster states by weighted distances |
| title_short | Evaluating Pauli errors on cluster states by weighted distances |
| title_sort | evaluating pauli errors on cluster states by weighted distances |
| url | http://psasir.upm.edu.my/id/eprint/112828/ http://psasir.upm.edu.my/id/eprint/112828/ http://psasir.upm.edu.my/id/eprint/112828/ http://psasir.upm.edu.my/id/eprint/112828/1/112828.pdf |