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Revenue from contracts with customers - Disaggregation of Revenue (Details) - USD ($)
$ 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
Disaggregation of Revenue [Line Items]            
Total revenue, net $ 1,695 $ 1,307 $ 4,778 $ 3,853    
Revenue recognized over the time            
Disaggregation of Revenue [Line Items]            
Total revenue, net 1,660 1,247 4,618 3,773    
Revenue recognized at a point in time            
Disaggregation of Revenue [Line Items]            
Total revenue, net 35 60 160 80    
QCaaS            
Disaggregation of Revenue [Line Items]            
Total revenue, net 1,346 980 3,905 3,063    
Professional services            
Disaggregation of Revenue [Line Items]            
Total revenue, net 347 306 812 736    
Other revenue            
Disaggregation of Revenue [Line Items]            
Total revenue, net $ 2 $ 21 $ 61 $ 54    
DWave System [Member]            
Disaggregation of Revenue [Line Items]            
Total revenue, net         $ 6,279 $ 5,160
DWave System [Member] | Revenue recognized over the time            
Disaggregation of Revenue [Line Items]            
Total revenue, net         6,090 4,688
DWave System [Member] | Revenue recognized at a point in time            
Disaggregation of Revenue [Line Items]            
Total revenue, net         189 472
DWave System [Member] | QCaaS            
Disaggregation of Revenue [Line Items]            
Total revenue, net         4,424 4,313
DWave System [Member] | Professional services            
Disaggregation of Revenue [Line Items]            
Total revenue, net         1,786 426
DWave System [Member] | Other revenue            
Disaggregation of Revenue [Line Items]            
Total revenue, net         $ 69 $ 421