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Revenue from contracts with customers - Disaggregation of Revenue (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
Disaggregation of Revenue [Line Items]            
Total revenue, net $ 1,371 $ 1,137 $ 3,083 $ 2,546 $ 6,279 $ 5,160
DWave System [Member]            
Disaggregation of Revenue [Line Items]            
Total revenue, net 1,371 1,137 3,083 2,546    
Revenue recognized over the time            
Disaggregation of Revenue [Line Items]            
Total revenue, net         6,090 4,688
Revenue recognized over the time | DWave System [Member]            
Disaggregation of Revenue [Line Items]            
Total revenue, net 1,296 1,099 2,957 2,484    
Revenue recognized at a point in time            
Disaggregation of Revenue [Line Items]            
Total revenue, net         189 472
Revenue recognized at a point in time | DWave System [Member]            
Disaggregation of Revenue [Line Items]            
Total revenue, net 75 38 126 62    
QCaaS            
Disaggregation of Revenue [Line Items]            
Total revenue, net         4,424 4,313
QCaaS | DWave System [Member]            
Disaggregation of Revenue [Line Items]            
Total revenue, net 1,176 961 2,560 2,083    
Professional services            
Disaggregation of Revenue [Line Items]            
Total revenue, net         1,786 426
Professional services | DWave System [Member]            
Disaggregation of Revenue [Line Items]            
Total revenue, net 156 158 464 429    
Other revenue            
Disaggregation of Revenue [Line Items]            
Total revenue, net         $ 69 $ 421
Other revenue | DWave System [Member]            
Disaggregation of Revenue [Line Items]            
Total revenue, net $ 39 $ 18 $ 59 $ 34