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Stock-based compensation - Expense (Details) - USD ($) $ in Thousands | 3 Months Ended | 9 Months Ended | 12 Months Ended
--- | --- | --- | ---
Sep. 30, 2022 | Sep. 30, 2021 | Sep. 30, 2022 | Sep. 30, 2021 | Dec. 31, 2021 | Dec. 31, 2020
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items] |  |  |  |  |  |
Total stock-based compensation | $ 2,027 | $ 225 | $ 3,695 | $ 555 |  |
DWave System [Member] |  |  |  |  |  |
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items] |  |  |  |  |  |
Total stock-based compensation |  |  |  |  | $ 1,739 | $ 2,989
Research and development |  |  |  |  |  |
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items] |  |  |  |  |  |
Total stock-based compensation | 329 | 63 | 539 | 150 |  |
Research and development | DWave System [Member] |  |  |  |  |  |
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items] |  |  |  |  |  |
Total stock-based compensation |  |  |  |  | 338 | 1,513
General and administrative |  |  |  |  |  |
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items] |  |  |  |  |  |
Total stock-based compensation | 1,640 | 105 | 2,909 | 278 |  |
General and administrative | DWave System [Member] |  |  |  |  |  |
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items] |  |  |  |  |  |
Total stock-based compensation |  |  |  |  | 1,164 | 1,346
Sales and marketing |  |  |  |  |  |
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items] |  |  |  |  |  |
Total stock-based compensation | $ 58 | $ 57 | $ 247 | $ 127 |  |
Sales and marketing | DWave System [Member] |  |  |  |  |  |
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items] |  |  |  |  |  |
Total stock-based compensation |  |  |  |  | $ 237 | $ 130

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- Definition Amount of expense for award under share-based payment arrangement. Excludes amount capitalized. + References Reference 1: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (h)(1)(i) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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- Definition Line items represent financial concepts included in a table. These concepts are used to disclose reportable information associated with domain members defined in one or many axes to the table. + References No definition available. + Details
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