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Stock-based compensation - Assumptions Used to Estimate Fair Value of Stock Options Granted (Details)
9 Months Ended 12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Dec. 31, 2021
Dec. 31, 2020
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Expected dividend yield 0.00% 0.00%    
Expected volatility 70.60% 56.30%    
Expected term 6 years 1 month 6 days 6 years 1 month 6 days    
Risk-free interest rate 3.00% 0.90%    
DWave System [Member]        
Share-based Compensation Arrangement by Share-based Payment Award [Line Items]        
Expected dividend yield     0.00% 0.00%
Expected volatility     56.00% 45.00%
Expected term     8 years 6 months 10 days 9 years 4 months 28 days
Risk-free interest rate     0.87% 0.43%