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Stock-based compensation - Common stock warrants (Details) - $ / shares | Sep. 30, 2022 | Dec. 31, 2021 | Dec. 31, 2020
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Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Balance (in usd per share) | $ 0.81 |  |
Balance (in usd per share) | $ 1.64 | $ 0.81 |
Balance (in shares) | 16,336,134 |  |
Balance (in shares) | 16,688,769 | 16,336,134 |
D-Wave Systems Inc. [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Balance (in usd per share) | $ 0.81 | $ 0.81 |
Balance (in usd per share) |  | $ 0.81 | $ 0.81
Balance (in shares) | 16,336,134 | 12,654,807 |
Balance (in shares) |  | 16,336,134 | 12,654,807
Common Stock Warrants [Member] | D-Wave Systems Inc. [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Balance (in usd per share) | $ 1.75 |  | $ 1.75
Balance (in usd per share) |  | $ 1.75 |
Balance (in shares) | 617,972 | 617,972 |
Balance (in shares) |  | 617,972 | 617,972
Preferred Stock Warrants [Member] | D-Wave Systems Inc. [Member] |  |  |
Share-based Compensation Arrangement by Share-based Payment Award [Line Items] |  |  |
Balance (in usd per share) | $ 1.92 |  | $ 1.92
Balance (in usd per share) |  | $ 1.92 |
Balance (in shares) | 3,247,637 | 3,247,637 |
Balance (in shares) |  | 3,247,637 | 3,247,637

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- Definition Number of options outstanding, including both vested and non-vested options. + 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 (c)(1)(ii) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 Reference 2: http://www.xbrl.org/2003/role/disclosureRef -Publisher FASB -Name Accounting Standards Codification -Topic 718 -SubTopic 10 -Section 50 -Paragraph 2 -Subparagraph (c)(1)(i) -URI https://asc.fasb.org/extlink&oid=128089324&loc=d3e5070-113901 + Details
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