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Common stock and non-redeemable convertible preferred stock - Narrative (Details) - USD ($)
$ / shares in Units, $ in Thousands
 9 Months Ended 12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Dec. 31, 2021
Aug. 05, 2022
Dec. 31, 2020
Common stock and nonredeemable convertible preferred stock [Line Items]          
Common Stock, Par or Stated Value Per Share $ 0.0001   $ 0.0001    
Common Stock, Shares, Issued 110,377,357   2,817,498    
Common Stock, Shares, Outstanding 110,377,357   2,817,498 110,007,972  
Proceeds from issuance of common stock $ 40,000 $ 0      
D-Wave Systems Inc. [Member]          
Common stock and nonredeemable convertible preferred stock [Line Items]          
Dividends Declared     $ 0   $ 0
Common Stock, Par or Stated Value Per Share     $ 0   $ 0
Common Stock, Shares, Issued     3,166,949   3,061,746
Common Stock, Shares, Outstanding     3,166,949   3,061,746
Preferred Stock, Voting Rights     2/3    
Common Stock Convertible Conversion Price     1.75%    
ClassB2 Common share [Member] | D-Wave Systems Inc. [Member]          
Common stock and nonredeemable convertible preferred stock [Line Items]          
Common Stock, Shares, Issued     3,166,948   3,061,745
Common Stock, Shares, Outstanding     3,166,948   3,061,745
Common Stock, Conversion Basis     one-for-one basis    
Qualified IPO [Member] | New York Stock Exchange [Member] | D-Wave Systems Inc. [Member]          
Common stock and nonredeemable convertible preferred stock [Line Items]          
Proceeds from issuance of common stock     $ 40,000    
Qualified IPO [Member] | New York Stock Exchange [Member] | ClassB2 Common share [Member] | D-Wave Systems Inc. [Member]          
Common stock and nonredeemable convertible preferred stock [Line Items]          
Proceeds from issuance of common stock     $ 250,000