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Stock-based compensation - Narrative (Details) - USD ($) |  | 6 Months Ended | 12 Months Ended |
--- | --- | --- | --- | ---
Apr. 14, 2022 | Jun. 30, 2022 | Jun. 30, 2021 | Dec. 31, 2021 | Dec. 31, 2020 | Apr. 30, 2020
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |
Weighted average grant date fair value, stock options granted (in usd per share) |  |  |  | $ 1.99 | $ 0.35 |
Fair value of stock options vested |  |  |  | $ 1,733,745 | $ 1,035,000 |
Warrants, exercise price (in usd per share) |  |  |  | $ 1 |  |
Two Thousand Twenty Equity Incentive Plan [Member] |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |
Share Based Compensation Arrangement By Share Based Payment Award Options Grant Outstanding Number |  |  |  | $ 16,336,134,000 | $ 12,654,807,000 |
Percentage of options vested |  |  |  | 25.00% |  |
oneyearcliff [Member] | Two Thousand Twenty Equity Incentive Plan [Member] |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |
Share-based Compensation Arrangement by Share-based Payment Award, Award Vesting Period |  |  |  | 4 years |  |
DWave System [Member] |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |
Weighted average grant date fair value, stock options granted (in usd per share) |  | $ 0 | $ 0.62 |  |  |
Fair value of stock options vested |  | $ 1,703,000 | $ 535,000 |  |  |
DWave System [Member] | Two Thousand Twenty Equity Incentive Plan [Member] |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |
Percentage of options vested |  |  |  | 75.00% |  |
Common stock warrants |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |
Warrants, exercise price (in usd per share) |  |  |  | $ 1.75 |  | $ 1.75
Warrants outstanding (in shares) |  |  |  | 617,972 |  | 617,972
Common stock warrants | DWave System [Member] |  |  |  |  |  |
Share-Based Compensation Arrangement by Share-Based Payment Award [Line Items] |  |  |  |  |  |
Warrants expired (in shares) | 617,972 |  |  |  |  |
Warrants, exercise price (in usd per share) | $ 1.75 |  |  |  |  | $ 1.75
Warrants outstanding (in shares) |  | 0 |  |  |  | 617,972

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