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Loans payable - Narrative (Details) $ in Thousands |  |  |  |  |  | 9 Months Ended | 12 Months Ended | 48 Months Ended |
--- | --- | --- | --- | --- | --- | --- | --- | --- | ---
Aug. 05, 2022 USD ($) | Jun. 30, 2022 USD ($) | Mar. 03, 2022 USD ($) | Nov. 23, 2020 CAD ($) | Nov. 20, 2020 USD ($) | Sep. 30, 2022 USD ($) | Sep. 30, 2021 USD ($) | Dec. 31, 2021 USD ($) | Dec. 31, 2021 CAD ($) | Dec. 31, 2020 USD ($) | Apr. 30, 2025 | Nov. 20, 2020 CAD ($)
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Payment for directors and officers insurance |  |  |  |  |  | $ 19,870 | $ 0 |  |  |  |  |
Contributions |  |  |  |  |  |  |  | $ 16,786 |  |  |  |
Repayments of Long-Term Debt |  |  |  |  |  | 20,000 | $ 23 |  |  |  |  |
SIF Loan |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Discount percentage |  |  |  |  | 26.00% |  |  |  |  |  |  | 26.00%
Face amount |  |  |  |  |  |  |  |  |  |  |  | $ 40,000,000
Term |  |  |  |  | 15 years |  |  |  |  |  |  |
Repayment benchmark year, revenue |  |  |  |  | $ 70,000 |  |  |  |  |  |  |
Repayment benchmark year, period |  |  |  |  | 14 years |  |  |  |  |  |  |
Venture Loan | Notes Payable, Other Payables [Member] |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Face amount |  |  | $ 25,000 |  |  |  |  |  |  |  |  |
Payment for directors and officers insurance |  | $ 5,000 | $ 15,000 |  |  |  |  |  |  |  |  |
Contributions |  |  |  |  |  | 20,000 |  |  |  |  |  |
Repayments of Long-Term Debt | $ 21,800 |  |  |  |  | $ 21,808 |  |  |  |  |  |
Prime rate | Venture Loan | Notes Payable, Other Payables [Member] |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Basis spread on variable rate |  |  | 7.25% |  |  |  |  |  |  |  |  |
Variable rate basis, floor |  |  | 3.25% |  |  |  |  |  |  |  |  |
DWave System [Member] |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Gain (loss) on extinguishment of debt |  |  |  |  |  |  |  | 0 |  | $ 3,873 |  |
Debt instrument, frequency of periodic payment |  |  |  |  |  |  |  |  |  |  | 5 |
Payment for directors and officers insurance |  |  |  |  |  |  |  | 111 |  |  |  |
Government assistance recognized |  |  |  |  |  |  |  | 7,140 |  | 12,027 |  |
Repayments of Long-Term Debt |  |  |  |  |  |  |  | $ 31 |  |  |  |
DWave System [Member] | TPC Loan |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument fund raised |  |  |  |  |  |  |  |  | $ 12,500,000 |  |  |
Debt Instrument, Payment Terms |  |  |  |  |  |  |  | May of each year | May of each year |  |  |
Debt Instrument Forgiveness of unpaid accrued debt principal and interest |  |  |  | $ 5,000,000 |  |  |  |  |  |  |  |
Gain (loss) on extinguishment of debt |  |  |  |  |  |  |  |  |  | 3,900 |  |
Debt instrument, waiver of interest on principal |  |  |  | 2,500,000 |  |  |  |  |  |  |  |
Debt instrument, annual principal payment |  |  |  | $ 500,000 |  |  |  |  |  |  |  |
Discount percentage |  |  |  | 25.00% |  |  |  |  |  |  |  |
DWave System [Member] | SIF Loan |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Discount percentage |  |  |  |  | 26.00% |  |  |  |  |  |  | 26.00%
Face amount |  |  |  |  |  |  |  |  |  |  |  | $ 40,000,000
Term |  |  |  |  | 15 years |  |  |  |  |  |  |
Repayment benchmark year, revenue |  |  |  |  | $ 70,000 |  |  |  |  |  |  |
Percentage of decrease in projected revenue |  |  |  |  | 5.00% |  |  |  |  |  |  | 5.00%
Debt Instrument, Increase (Decrease), Net |  |  |  |  | $ 157,000 |  |  |  |  |  |  |
Recognized research incentives receivable related to approved eligible expenditure claims |  |  |  |  |  |  |  | $ 3,100 |  | 11,700 |  |
Government assistance recognized |  |  |  |  |  |  |  | 7,200 |  | $ 12,000 |  |
Increase decrease in debt instrument carrying value |  |  |  |  |  |  |  | $ 3,800 |  |  |  |
Repayment benchmark year, period |  |  |  |  | 14 years |  |  |  |  |  |  |

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