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Income Taxes - Additional Information (Detail) - USD ($)
12 Months Ended
Jan. 31, 2021
Jan. 31, 2020
Sep. 30, 2021
Dec. 31, 2020
Unrecognized tax benefits     $ 0 $ 0
Rigetti Holdings [Member]        
Valuation Allowance, Deferred Tax Asset, Increase (Decrease), Amount $ 2,339,894 $ 12,427,880    
Indefinite-lived Intangible Assets, Foreign Currency Translation Gain (Loss) 111,790,267      
Unrecognized tax benefits 4,672,209      
Rigetti Holdings [Member] | Tax Year 2033 [Member]        
Operating Loss Carryforwards 153,292,553      
Rigetti Holdings [Member] | Tax Year 2033 [Member] | State and Local Jurisdiction [Member]        
Operating Loss Carryforwards 87,501,875      
Rigetti Holdings [Member] | Tax Year 2035 [Member]        
Operating Loss Carryforwards 2,328,063      
Rigetti Holdings [Member] | No Expiry [Member] | State and Local Jurisdiction [Member]        
Operating Loss Carryforwards $ 2,344,146