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Revenue Recognition (Tables)

9 Months Ended

Sep. 30, 2025

Revenue Recognition

Summary of disaggregation of revenue according to the type of good or service and timing of transfer of goods or services

The following tables depict the disaggregation of revenue according to the type of good or service and timing of transfer of goods or services for the three and nine months ended September 30, 2025 and September 30, 2024 (in thousands):

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

​

Three Months Ended September 30,

​

Nine Months Ended September 30,

​

​

2025

2024

2025

2024

​

Collaborative research and professional services

​

$

1,896

​

$

1,963

​

$

4,939

​

$

6,891

​

Collaborative research materials and sales of quantum computers

​

​

—

​

​

343

​

​

—

​

​

1,333

​

Access to quantum computing systems

​

​

51

​

​

72

​

​

281

​

​

292

​

​

​

$

1,947

​

$

2,378

​

$

5,220

​

$

8,516

​

​

​	​	​	​	​	​	​	​	​	​	​	​	​
​		Three Months Ended September 30,					​	Nine Months Ended September 30,
​		2025			2024			2025			2024
Revenue recognized at a point in time	​	$	—	​	$	—	​	$	—	​	$	523
Revenue recognized over time			1,947	​		2,378	​		5,220			7,993
​	​	$	1,947	​	$	2,378	​	$	5,220	​	$	8,516

Summary of accounts receivable, contract assets and liabilities

Selected condensed consolidated balance sheet line items that reflect accounts receivable, contract assets and liabilities as of September 30, 2025, December 31, 2024 and December 31, 2023 were as follows (in thousands):

​	​	​	​	​	​	​	​	​	​
​		September 30, 2025			December 31, 2024			December 31, 2023
Trade receivables	​	$	777	​	$	1,498	​	$	2,650
Unbilled receivables	​	$	1,500	​	$	929	​	$	2,379
Current portion of deferred revenue	​	$	—	​	$	(113)	​	$	(343)
Deferred revenue, less current portion	​	$	(698)	​	$	(698)	​	$	—

Summary of changes in deferred revenue from contracts with customers

​

​	​	​	​	​	​	​	​
​	​	Nine Months Ended September 30,					​
​		2025			2024		​
Balance at beginning of period	​	$	(811)	​	$	(343)	​
Deferral of revenue	​	​	(110)	​	​	(771)	​
Recognition of deferred revenue	​	​	223	​	​	228	​
Total deferred revenue at end of period	​	$	(698)	​	$	(886)	​
Current portion of deferred revenue	​	$	—	​	$	(886)	​
Deferred revenue, less current portion	​	$	(698)	​	$	—	​

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- Definition

Schedule of Change in Contract with Customer, Asset and Liability

+ References

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- Definition

Tabular disclosure of receivable, contract asset, and contract liability from contract with customer. Includes, but is not limited to, change in contract asset and contract liability.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 606
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 10
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479806/606-10-50-10

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- Definition

Tabular disclosure of disaggregation of revenue into categories depicting how nature, amount, timing, and uncertainty of revenue and cash flows are affected by economic factor.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 606
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 5
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147479806/606-10-50-5

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