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Revenue from contracts with customers - Change in Deferred Revenue (Details) - USD ($)
$ in Thousands
 9 Months Ended 12 Months Ended
Sep. 30, 2022
Dec. 31, 2021
Dec. 31, 2020
Contract With Customer, Liability [Roll Forward]      
Balance at beginning of period $ 2,719 $ 4,713  
Deferral of revenue 3,554 4,092  
Recognition of deferred revenue (4,284) (6,086)  
Balance at end of period 1,989 2,719 $ 4,713
DWave System [Member]      
Contract With Customer, Liability [Roll Forward]      
Balance at beginning of period $ 2,719 4,713 4,921
Deferral of revenue   4,092 4,513
Recognition of deferred revenue   (6,086) (4,721)
Balance at end of period   $ 2,719 $ 4,713