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Stock-based compensation - Stock Options Activity (Details) - USD ($)
$ / shares in Units, $ in Thousands
9 Months Ended 12 Months Ended
Sep. 30, 2022
Dec. 31, 2021
Dec. 31, 2020
Number of options outstanding      
Balance (in shares) 16,336,134    
Granted (in shares) 1,500,081    
Exercised (in shares) (174,378)    
Forfeited (in shares) (944,087)    
Expired (in shares) (28,981)    
Balance (in shares) 16,688,769 16,336,134  
Exercisable (in shares) 12,128,516    
Weighted  average  exercise  price  ($)      
Balance (in usd per share) $ 0.81    
Granted (in usd per share) 10.07    
Exercised (in usd per share) 0.81    
Forfeited (in usd per share) 0.81    
Expired (in usd per share) 0.81    
Balance (in usd per share) 1.64 $ 0.81  
Exercisable (in usd per share) $ 0.84    
Weighted average remaining contractual term (years)      
Balance 6 years 11 months 15 days 8 years 6 months 18 days  
Exercisable 6 years 2 months 12 days    
Aggregate intrinsic value ($)      
Balance $ 74,546 $ 80,179  
Exercisable $ 59,344    
DWave System [Member]      
Number of options outstanding      
Balance (in shares) 16,336,134 12,654,807  
Granted (in shares)   4,369,866  
Exercised (in shares)   (105,203)  
Forfeited (in shares)   (171,204)  
Expired (in shares)   (412,132)  
Balance (in shares)   16,336,134 12,654,807
Unvested (in shares)   6,943,273  
Exercisable (in shares)   9,392,861  
Weighted  average  exercise  price  ($)      
Balance (in usd per share) $ 0.81 $ 0.81  
Granted (in usd per share)   0.82  
Exercised (in usd per share)   0.81  
Forfeited (in usd per share)   0.81  
Expired (in usd per share)   0.81  
Balance (in usd per share)   0.81 $ 0.81
Unvested (in usd per share)   0.81  
Exercisable (in usd per share)   $ 0.81  
Weighted average remaining contractual term (years)      
Balance   8 years 6 months 18 days 9 years 4 months 17 days
Unvested   8 years 6 months 10 days  
Exercisable   8 years 2 months 12 days  
Aggregate intrinsic value ($)      
Balance   $ 80,179  
Unvested   77,423  
Exercisable   $ 46,116