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Warrants - Additional Information (Details)
1 Months Ended 3 Months Ended 9 Months Ended 12 Months Ended
Dec. 31, 2020
$ / shares
shares
Mar. 31, 2021
USD ($)
shares
Sep. 30, 2021
USD ($)
$ / shares
shares
Oct. 31, 2021
USD ($)
shares
Sep. 30, 2021
USD ($)
$ / shares
shares
Oct. 31, 2021
shares
Oct. 31, 2021
Oct. 31, 2021
d
May 31, 2021
$ / shares
shares
Jan. 31, 2021
USD ($)
shares
Class Of Warrant Or Right [Line Items]                    
Warrants exercisable period after completion of business combination 30 days       30 days          
Warrants outstanding | shares 0                  
Exercise price of warrants $ 11.50   $ 11.50   $ 11.50          
Change in fair value of warrants | $     $ 5,230,000 $ 1,500,000 $ (2,745,750)          
Class of Warrants or Rights Aggregate Fair Value of Warrants at the Time of Grant | $   $ 2,690,000                
Rigetti Holdings, Inc.                    
Class Of Warrant Or Right [Line Items]                    
Warrants outstanding | shares       995,099   995,099       3,406,156
Percentage of aggregate gross proceeds from issuances to overall equity proceeds           1.63%        
Class of warrants issued during period | shares   398,040             995,099  
Common stock warrants | $                   $ 0
Change in fair value of warrants | $       $ 1,552,546            
Warrants and Rights Outstanding, Measurement Input             2.87 0.214    
Rigetti Holdings, Inc. | Equity Incentive Plan [Member]                    
Class Of Warrant Or Right [Line Items]                    
Share based compensation arrangement exercise price per share                 $ 0.214  
Redemption of Warrants for Shares of Class A Ordinary Shares                    
Class Of Warrant Or Right [Line Items]                    
Redemption price per share 10.00   $ 10.00   $ 10.00          
Redemption of Warrants When the Price Per Class A Ordinary Share Equals or Exceeds $18.00                    
Class Of Warrant Or Right [Line Items]                    
Exercise price of warrants $ 0.01   0.01   $ 0.01          
Trading day period 20 days       20 days          
Percentage adjustment of exercise price of warrants to higher of market value and newly issued price 180.00%       180.00%          
Redemption price per share $ 18.00   18.00   $ 18.00          
Minimum period prior written notice of redemption 30 days       30 days          
Overall trading period 30 days       30 days          
Redemption of Warrants When the Price Per Class A Ordinary Share Equals or Exceeds $10.00                    
Class Of Warrant Or Right [Line Items]                    
Warrants outstanding | shares 10.00                  
Exercise price of warrants $ 0.10   0.10   $ 0.10          
Trading day period 20 days       20 days          
Redemption price per share $ 10.00   10.00   $ 10.00          
Minimum period prior written notice of redemption 30 days       30 days          
Overall trading period 30 days       30 days          
Minimum [Member]                    
Class Of Warrant Or Right [Line Items]                    
Percentage of aggregate gross proceeds from issuances to overall equity proceeds 60.00%       60.00%          
Minimum [Member] | Redemption of Warrants When the Price Per Class A Ordinary Share Equals or Exceeds $10.00                    
Class Of Warrant Or Right [Line Items]                    
Warrants exercisable in connection with redemption feature per share $ 0.361       $ 0.361          
Class A Ordinary Shares                    
Class Of Warrant Or Right [Line Items]                    
Exercise price of warrants $ 11.50   11.50   $ 11.50          
Warrants expiration period after completion of business combination or earlier upon redemption or liquidation 5 years       5 years          
Trading day period 10 days                  
Percentage adjustment of exercise price of warrants to higher of market value and newly issued price 115.00%       115.00%          
Redemption price per share $ 10.00   $ 10.00   $ 10.00          
Class of warrants issued during period | shares 1   1   1          
Class A Ordinary Shares | Maximum                    
Class Of Warrant Or Right [Line Items]                    
Initial business combination share price $ 9.20   $ 9.20   $ 9.20          
Public Warrants                    
Class Of Warrant Or Right [Line Items]                    
Warrants outstanding | shares     8,625,000   8,625,000          
Private Placement                    
Class Of Warrant Or Right [Line Items]                    
Warrants outstanding | shares     4,450,000   4,450,000