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Summary of Significant Accounting Policies - Additional Information One (Details)
1 Months Ended 3 Months Ended 9 Months Ended 12 Months Ended
Mar. 04, 2021
USD ($)
shares
Jan. 31, 2021
USD ($)
ReportingSegment
Dec. 31, 2020
USD ($)
$ / shares
shares
Jan. 31, 2020
USD ($)
Sep. 30, 2021
USD ($)
$ / shares
shares
Mar. 31, 2021
USD ($)
shares
Oct. 31, 2021
USD ($)
Sep. 30, 2021
USD ($)
$ / shares
shares
Oct. 31, 2020
USD ($)
Jan. 31, 2021
USD ($)
ReportingSegment
OperatingSegment
Dec. 31, 2020
USD ($)
$ / shares
shares
Jan. 31, 2020
USD ($)
Jul. 31, 2021
USD ($)
Jun. 30, 2021
USD ($)
Jan. 31, 2019
$ / shares
shares
Summary Of Significant Accounting Policies [Line Items]                              
Federal depository insurance coverage         $ 250,000     $ 250,000              
Cash equivalents     $ 0   0     0     $ 0        
Unrecognized tax benefits     0   0     0     0        
Unrecognized tax benefits, accrued for interest and penalties     0   0     0     0        
Class A ordinary shares subject to possible redemption $ 345,000,000         $ 345,000,000               $ 345,000,000  
Accumulated deficit (23,890,642)   (14,691)   (22,247,482) (24,466,560)   (22,247,482)     (14,691)     (26,912,297)  
Additional paid-in capital     $ 24,137           $ 24,137        
Class of warrant or right, Exercise price of warrants or rights | $ / shares     $ 11.50   $ 11.50     $ 11.50     $ 11.50        
Fair value adjustment of warrants         $ 5,230,000   $ 1,500,000 $ (2,745,750)              
Rigetti Holdings [Member]                              
Summary Of Significant Accounting Policies [Line Items]                              
Number of reporting unit | ReportingSegment   1                          
Goodwill, impairment loss                   $ 0   $ 0      
Fair value adjustment of warrants             $ 1,552,546   $ (8,913,532)            
Capitalized contract cost, Judgment                   The Company has elected to treat shipping and handling activities related to contracts with customers as fulfillment costs, and not as separate performance obligations, and accrues the related costs when the related revenue is recognized.          
Revenue, Information used to allocate transaction price   the transaction price is allocated on a relative standalone selling price basis to each performance obligation. The Company typically determines standalone selling price based on observable selling prices of its products and services. In instances where standalone selling price is not directly observable, standalone selling price is determined using information that may include market conditions and other observable inputs. Standalone selling price is typically established as a range. In situations in which the stated contract price for a performance obligation is outside of the applicable standalone selling price range and has a different pattern of transfer to the customer than the other performance obligations in the contract, the Company will reallocate the total transaction price to each performance obligation based on the relative standalone selling price of each.                          
Revenue, Information used to assess variable consideration constraint   is included only to the extent it is probable that a significant reversal of cumulative revenue recognized will not occur when the uncertainty associated with the variable consideration is subsequently resolved.                          
Revenue, Judgment   Judgment is required to determine the standalone selling price for each renewal option to determine whether the renewal pricing is reflective of standalone selling price or is reflective of a discount that would provide the customer with a material right                          
Revenue, Performance obligation, Payment term   30 days                          
Revenue, Performance obligation, Description of returns and other similar obligations   The Company does not offer rights of return for its products and services in the normal course of business                          
Revenue, Performance obligation, Description of warranty                   and contracts generally do not include service-type warranties that provide any incremental service to the customer beyond providing assurance that the goods and services conform to applicable specifications or customer-specific or subjective acceptance provisions.          
Capitalized research and development costs   $ 0   $ 0           $ 0   0      
Capitalized computer software, Net   $ 0   0           0   0      
Impairment of long lived assets                   $ 0   0      
Number of operating segments | OperatingSegment                   1          
Number of reporting segments | ReportingSegment                   1          
Furniture and Fixtures [Member] | Rigetti Holdings [Member]                              
Summary Of Significant Accounting Policies [Line Items]                              
Property, plant and equipment, Estimated useful lives   three                          
IT Hardware [Member] | Rigetti Holdings [Member]                              
Summary Of Significant Accounting Policies [Line Items]                              
Property, plant and equipment, Estimated useful lives   three                          
Process Equipment [Member] | Rigetti Holdings [Member]                              
Summary Of Significant Accounting Policies [Line Items]                              
Property, plant and equipment, Estimated useful lives   seven                          
Quantum Computing Fridges [Member] | Rigetti Holdings [Member]                              
Summary Of Significant Accounting Policies [Line Items]                              
Property, plant and equipment, Estimated useful lives   ten                          
Series B Two Redeemable Convertible Preferred Stock [Member] | Rigetti Holdings [Member]                              
Summary Of Significant Accounting Policies [Line Items]                              
Class of warrant or right, Number of securities called by a warrant | shares                             14,958
Defined contribution plan, Employer discretionary contribution amount                       0      
Series B Two Redeemable Convertible Preferred Stock Warrant [Member] | Rigetti Holdings [Member]                              
Summary Of Significant Accounting Policies [Line Items]                              
Warrants and rights outstanding, term                             10 years
Class of warrant or right, Exercise price of warrants or rights | $ / shares                             $ 0.000001
Warrants and rights outstanding       122,000               $ 122,000      
Fair value adjustment of warrants       $ 0                      
Customer Concentration Risk [Member] | Revenue Benchmark [Member] | Four Customers [Member] | Rigetti Holdings [Member]                              
Summary Of Significant Accounting Policies [Line Items]                              
Concentration risk percentage                       82.00%      
Customer Concentration Risk [Member] | Revenue Benchmark [Member] | Three Customers [Member] | Rigetti Holdings [Member]                              
Summary Of Significant Accounting Policies [Line Items]                              
Concentration risk percentage                   78.00%          
Customer Concentration Risk [Member] | Accounts Receivable [Member] | Four Customers [Member] | Rigetti Holdings [Member]                              
Summary Of Significant Accounting Policies [Line Items]                              
Concentration risk percentage                       97.00%      
Customer Concentration Risk [Member] | Accounts Receivable [Member] | One Customer [Member] | Rigetti Holdings [Member]                              
Summary Of Significant Accounting Policies [Line Items]                              
Concentration risk percentage                   87.00%          
Four Hundred And One K Defined Contribution Plan [Member] | Rigetti Holdings [Member]                              
Summary Of Significant Accounting Policies [Line Items]                              
Defined contribution plan, Employer discretionary contribution amount                   $ 0          
Revision of Prior Period, Adjustment [Member]                              
Summary Of Significant Accounting Policies [Line Items]                              
Class A ordinary shares subject to possible redemption 28,889,780         29,465,700               31,911,440  
Accumulated deficit (23,346,376)         (23,292,752)             $ (436,682) (23,292,752)  
Additional paid-in capital $ (5,543,115)         $ (6,172,654)               $ (8,618,370)  
As Reclassified [Member] | General and Administrative Expense [Member] | Rigetti Holdings [Member]                              
Summary Of Significant Accounting Policies [Line Items]                              
Research and development expense                   3,133,808   $ 5,531,056      
Selling and marketing expense                   $ 1,040,831   $ 1,802,274      
ASU 2020-06                              
Summary Of Significant Accounting Policies [Line Items]                              
Change in accounting principle, accounting standards update, adopted [true false]                           true  
Change in accounting principle, accounting standards update, adoption date         Jan. 01, 2021     Jan. 01, 2021              
Change in accounting principle, accounting standards update, immaterial Effect [true false]                           true  
Initial Public Offering and Private Placement                              
Summary Of Significant Accounting Policies [Line Items]                              
Number of shares purchased in calculation of diluted loss per share | shares               13,075,000              
IPO [Member] | Revision of Prior Period, Adjustment [Member]                              
Summary Of Significant Accounting Policies [Line Items]                              
Maximum net tangible assets requirement threshold         $ 5,000,001     $ 5,000,001              
Class A ordinary shares subject to possible redemption         28,900,000     28,900,000              
Accumulated deficit         23,300,000     $ 23,300,000              
Reclassification of permanent equity to temporary equity | shares               2,888,978              
Additional paid-in capital         5,500,000     $ 5,500,000              
Class A Ordinary Shares                              
Summary Of Significant Accounting Policies [Line Items]                              
Ordinary shares subject to possible redemption | shares           0   345,000,000     0        
Class A ordinary shares subject to possible redemption         $ 345,000,000     $ 345,000,000              
Class of warrant or right, Number of securities called by a warrant | shares     1   1     1     1        
Class of warrant or right, Exercise price of warrants or rights | $ / shares     $ 11.50   $ 11.50     $ 11.50     $ 11.50        
Common Class B [Member] | Over-Allotment Option [Member]                              
Summary Of Significant Accounting Policies [Line Items]                              
Underwriter options exercised | shares 1,125,000             1,125,000              
Maximum [Member] | Common Class B [Member] | Over-Allotment Option [Member]                              
Summary Of Significant Accounting Policies [Line Items]                              
Shares forfeited | shares     1,125,000                        
Minimum [Member] | Rigetti Holdings [Member]                              
Summary Of Significant Accounting Policies [Line Items]                              
Recognized income tax positions measurement amount as a percentage of being realized   50.00%               50.00%          
Minimum [Member] | Customer Concentration Risk [Member] | Accounts Receivable [Member] | Rigetti Holdings [Member]                              
Summary Of Significant Accounting Policies [Line Items]                              
Concentration risk percentage                   10.00%   10.00%