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Basis of presentation and Summary of Significant Accounting Policies (Tables) | 6 Months Ended | 12 Months Ended
--- | --- | ---
Jun. 30, 2022 | Dec. 31, 2021
Summary of cash and cash equivalents |  | The following table provides a reconciliation of cash and cash equivalents on the consolidated balance sheets to the totals presented on the consolidated statement of cash flows (in thousands):
|  | December 31, |
|  | 2021 |  |  | 2020 |
Cash |  | $ | 9,483 |  |  | $ | 10,272 |
Cash equivalents - commercial papers |  |  | — |  |  |  | 11,063 |
Total cash and cash equivalents on the consolidated statements of cash flows |  | $ | 9,483 |  |  | $ | 21,335 |
Schedule of estimated useful lives of its property and equipment |  | The Company’s estimated useful lives of its property and equipment are as follows:
|  | Estimated Useful Lives
Quantum computer systems |  | 5 years
Lab equipment |  | 5 years
Computer equipment |  | 3 years
Furniture and fixtures |  | 5 years
Leasehold improvements |  | Shorter of expected lease term or estimated useful life
DPCM Capital, Inc [Member] |  |
Schedule of common stock reflected in the condensed consolidated balance sheets is reconciled | At June 30, 2022 and December 31, 2021, the Class A common stock subject to redemption reflected in the condensed consolidated balance sheets is reconciled in the following table:
Gross proceeds |  | $ | 300,000,000 |
Less: |  |  |  |
Proceeds allocated to Public Warrants |  | $ | (6,600,000 | )
Class A common stock issuance costs |  | $ | (16,596,320 | )
Plus: |  |  |  |
Accretion of carrying value to redemption value |  | $ | 23,196,320 |
Class A common stock subject to possible redemption at December 31, 2021 and March 31, 2022 |  | $ | 300,000,000 |
Plus: |  |  |  |
Remeasurement of carrying value to redemption value |  | $ | 114,082 |
Class A common stock subject to possible redemption at June 30, 2022 |  | $ | 300,114,082 |
| At December 31, 2020, the Class A common stock subject to redemption reflected in the balance sheets is reconciled in the following table:
Gross proceeds |  | $ | 300,000,000 |
Less: |  |  |  |
Proceeds allocated to Public Warrants |  | $ | (6,600,000 | )
Class A common stock issuance costs |  | $ | (16,596,320 | )
Plus: |  |  |  |
Accretion of carrying value to redemption value |  | $ | 23,196,320 |
Class A common stock subject to possible redemption |  | $ | 300,000,000 |
Schedule of calculation of basic and diluted net income (loss) per common | The following table reflects the calculation of basic and diluted net income (loss) per common stock (in dollars, except per share amounts):
|  | Three Months Ended June 30, 2022 |  |  | Three Months Ended June 30, 2021 |  |  | Six Months Ended June 30, 2022 |  |  | Six Months Ended June 30, 2021 |
|  | Class A |  |  | Class B |  |  | Class A |  |  | Class B |  |  | Class A |  |  | Class B |  |  | Class A |  |  | Class B |
Basic and diluted net income (loss) per common stock |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Numerator: |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Allocation of net income (loss), as adjusted |  | $ | 4,474,154 |  |  | $ | 1,118,539 |  |  | $ | (1,067,166 | ) |  | $ | (266,792 | ) |  | $ | 1,736,152 |  |  | $ | 434,038 |  |  | $ | 11,251,250 |  |  | $ | 2,812,812 |
Denominator: |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Basic and diluted weighted average shares outstanding |  |  | 30,000,000 |  |  |  | 7,500,000 |  |  |  | 30,000,000 |  |  |  | 7,500,000 |  |  |  | 30,000,000 |  |  |  | 7,500,000 |  |  |  | 30,000,000 |  |  |  | 7,500,000 |
Basic and diluted net income (loss) per common stock |  | $ | 0.15 |  |  | $ | 0.15 |  |  | $ | (0.04 | ) |  | $ | (0.04 | ) |  | $ | 0.06 |  |  | $ | 0.06 |  |  | $ | 0.38 |  |  | $ | 0.38 |
| The following table reflects the calculation of basic and diluted net income per share of common stock (in dollars, except per share amounts):
|  | Year Ended December 31, |
|  | Year Ended December 31, |  |  | For the period March 24, 2020 through December 31, |
|  | 2021 |  |  | 2020 |
|  | Class A |  |  | Class B |  |  | Class A |  |  | Class B |
Basic and diluted net income (loss) per common stock |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Numerator: |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Allocation of net income (loss), as adjusted |  | $ | 19,396,302 |  |  | $ | 4,849,075 |  |  | $ | (17,839,941 | ) |  | $ | (9,566,346 | )
Denominator: |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |
Basic and diluted weighted average common stock outstanding |  |  | 30,000,000 |  |  |  | 7,500,000 |  |  |  | 13,986,486 |  |  |  | 7,500,000 |
Basic and diluted net income (loss) per common stock |  | $ | 0.65 |  |  | $ | 0.65 |  |  | $ | (1.28 | ) |  | $ | (1.28 | )

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