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Capital Stock (Details 1) - USD ($)
 1 Months Ended 9 Months Ended 12 Months Ended
Apr. 13, 2018
Sep. 30, 2020
Aug. 31, 2020
Jul. 24, 2020
Jun. 30, 2020
Jun. 10, 2020
Sep. 30, 2019
Aug. 31, 2019
Jul. 31, 2019
May 30, 2019
Nov. 30, 2018
Oct. 31, 2018
Sep. 30, 2018
Sep. 30, 2020
Sep. 30, 2019
Dec. 31, 2018
Dec. 31, 2019
Mar. 01, 2018
Capital Stock (Textual)                                    
Converted principal amount                               $ 100,000    
Accrued interest                               $ 2,422    
Converted shares of common stock                               1,002,422    
Shares of common stock issued                         4,800,000          
Recognized stock based compensation expense                         $ 24,200,000          
Stock grants                     4,000,000              
Shares granted, percentage                           100.00%        
Common stock, shares authorized   250,000,000                       250,000,000     250,000,000  
Reverse stock split shares, description       The Company entered into Restricted Stock Agreements (the "Restricted Stock Agreements") with certain of its senior managers, including certain directors and officers, listed in the table below (each, a "Grantee" and together, the "Grantees"), pursuant to the 2019 Quantum Computing Inc. Equity and Incentive Plan (the "Incentive Plan"). Pursuant to the terms of the Restricted Stock Agreements, the stock grants are one hundred percent (100%) vested as of the date of grant, but are subject to the Company's right to recoup or "clawback" a portion of the shares if the Grantee terminates their employment prior to the second anniversary of the date of grant, in accordance with the following schedule: (i) the Company can recoup 100% of the shares until May 31, 2021, and (ii) the Company can recoup 50% of the shares between June 1, 2021 and May 31, 2022. As of June 1, 2022, the Company has no further recoupment rights to the shares. The stock grants are also subject to LockUp agreements for three years from the Grantee's date of employment. The Lock Up Agreements preclude the Grantees from selling, granting, lending, pledging, offering or in any way, directly or indirectly disposing of the shares in the Restricted Stock Agreements. In the aggregate the Company issued 2,000,000 shares to its senior managers, including the directors and officers listed below. The shares were granted at $3.16 per share.                            
Common stock per share   $ 0.0001                       $ 0.0001     $ 0.0001  
Stock based compensation expense reversed               $ 1,343,866     $ 20,160,000              
Granted shares of restricted stock                   $ 400,000                
Common stock received back               266,640                    
Warrant description           The Board authorized a private placement of common stock with fifty percent (50%) warrant coverage at an exercise price of $2.00 in the aggregate amount up to $3,000,000 at a stock price of $1.00 per share (the "2020 Units Offering"). In connection with the 2020 Units Offering, the Company received funds of $342,000 as of August 24, 2020, and issued 342,000 shares of Common Stock and Warrants to purchase 171,000 shares of Common Stock. The Board closed the 2020 Units Offering to further investment in August 2020.                        
Warrant [Member]                                    
Capital Stock (Textual)                                    
Exercise price   $ 1.00                       $ 1.00        
Purchase of additional warrants, shares   150,000                                
Warrants expire date   Sep. 11, 2025                       Sep. 11, 2025        
CNLT, LLC [Member]                                    
Capital Stock (Textual)                                    
Converted principal amount                       $ 725,000            
Accrued interest                       $ 16,711            
Converted shares of common stock                       1,510,377            
Shares of common stock issued                       130,000            
Lyons Capital, LLC [Member]                                    
Capital Stock (Textual)                                    
Shares of common stock issued                             25,000      
Board of directors [Member]                                    
Capital Stock (Textual)                                    
Increase authorized capital of common stock 260,000,000                                  
Common stock, shares authorized 250,000,000                                  
Preferred stock, shares authorized 10,000,000                                  
Reverse stock split shares, description The Company’s board of directors authorized a 1:200 reverse stock split on the shares of the Company’s common stock.                                  
Common stock subscriptions                                   $ 75,000
Raise in equity capital                                   $ 500,000
Common stock per share                                   $ 0.40
Private Placement [Member]                                    
Capital Stock (Textual)                                    
Reverse stock split shares, description     The Board authorized a private placement of common stock in the aggregate amount up to $4,500,000 at a stock price of $1.00 per share (the "2020 $1.00 Equity Offering"). The Company entered into Stock Purchase Agreements (the "SPA") with approximately 94 accredited investors (the "Investors"), whereby the Investors purchased from the Company shares of the Company's common stock in an aggregate amount of 4,237,500 (the "Shares"), for a purchase price of $1.00 per share (the "Per Share Purchase Price") resulting in gross proceeds to the company of $4,237,500.                              
Convertible Promissory Notes [Member]                                    
Capital Stock (Textual)                                    
Converted principal amount             $ 20,000 $ 2,015,500                    
Accrued interest               124,997 $ 1,000,000                  
Converted shares of common stock   20,000     300,000   200,000                      
Shares of common stock issued   50,000         350,000                      
Reverse stock split shares, description         The Company entered into twelve month Lock Up – Leak Out agreements with fifty holders of approximately 2 million shares of restricted stock in exchange for 443,273 incentive shares. Under the Lock Up-Leak Out agreements the stockholders are precluded from selling, granting, lending, pledging, offering or in any way, directly or indirectly disposing of their shares until June 11, 2021 and after that date they agreed to limit daily sales to no more than ten percent (10%) of the average daily trading volume of the Company's stock for the previous three trading days. Two additional holders of a total of 50,000 shares also entered into 12-month LockUp-Leak Out agreements, however, due to an administrative oversight, the Company did not issue their incentives shares, totaling 10,000 shares, until September 2020.                          
Granted shares of restricted stock               $ 2,329,525                    
Warrant description   The Company issued an advisor 100,000 shares of the Company's common stock and warrants to purchase an additional 325,000 shares of the Company's common stock, at an initial exercise price) of $3.40- per share, subject to adjustment (the "Warrants"). Warrants will expire on September 11, 2025. The Board closed the 2020 Units Offering to further investment in September, 2020.