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Net loss per share - Computation (Details) - USD ($)
$ / shares in Units, $ in Thousands
3 Months Ended 9 Months Ended 12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2022
Sep. 30, 2021
Dec. 31, 2021
Dec. 31, 2020
Numerator:            
Net income (loss) $ (13,053) $ (4,209) $ (37,868) $ (17,705)    
Net loss attributable to common stockholders, Diluted (13,053) (4,209) $ (37,868)      
Net loss attributable to common stockholders, Basic $ (13,053) $ (4,209)   $ (17,705)    
Denominator:            
Weighted-average common shares outstanding, basic (in shares) [1] 116,256,805 125,362,390 122,337,727 125,331,065    
Weighted-average common shares outstanding, diluted (in shares) [1] 116,256,805 125,362,390 122,337,727 125,331,065    
Net loss per share, basic (in usd per share) $ (0.11) $ (0.03) $ (0.31) $ (0.14)    
Net loss per share, diluted (in usd per share) $ (0.11) $ (0.03) $ (0.31) $ (0.14)    
D-Wave Systems Inc. [Member]            
Numerator:            
Net income (loss)         $ (31,545) $ (10,019)
Denominator:            
Weighted-average common shares outstanding, basic (in shares)         111,911,127 121,358,898
Weighted-average common shares outstanding, diluted (in shares)         111,911,127 121,358,989
Net loss per share, basic (in usd per share)         $ (0.28) $ (0.08)
Net loss per share, diluted (in usd per share)         $ (0.28) $ (0.08)
[1] Weighted-average shares have been retroactively restated to give effect to the Business Combination.