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Stock-based compensation - Expense (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended 12 Months Ended
Jun. 30, 2022
Jun. 30, 2021
Jun. 30, 2022
Jun. 30, 2021
Dec. 31, 2021
Dec. 31, 2020
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]            
Total stock-based compensation         $ 1,739 $ 2,989
DWave System [Member]            
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]            
Total stock-based compensation $ 816 $ 169 $ 1,600 $ 330    
Research and development            
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]            
Total stock-based compensation         338 1,513
Research and development | DWave System [Member]            
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]            
Total stock-based compensation 117 58 210 88    
General and administrative            
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]            
Total stock-based compensation         1,164 1,346
General and administrative | DWave System [Member]            
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]            
Total stock-based compensation 641 74 1,270 173    
Sales and marketing            
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]            
Total stock-based compensation         $ 237 $ 130
Sales and marketing | DWave System [Member]            
Share-Based Payment Arrangement, Expensed and Capitalized, Amount [Line Items]            
Total stock-based compensation $ 58 $ 37 $ 120 $ 69