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Revenue from contracts with customers (Tables)
6 Months Ended
Jun. 30, 2022
Revenue from Contract with Customer [Abstract]  
Disaggregation of revenue
The following table depicts the disaggregation of revenue by type of products or services and timing of transfer of products or services (in thousands):
Three months ended June 30,
20222021
Type of products or services
QCaaS$1,176 $961 
Professional services156 158 
Other revenue39 18 
Total revenue, net$1,371 $1,137 
Timing of revenue recognition
Revenue recognized over the time$1,296 $1,099 
Revenue recognized at a point in time75 38 
Total revenue, net$1,371 $1,137 
Six months ended June 30,
20222021
Type of products or services
QCaaS$2,560 $2,083 
Professional services464 429 
Other revenue59 34 
Total revenue, net$3,083 $2,546 
Timing of revenue recognition
Revenue recognized over the time$2,957 $2,484 
Revenue recognized at a point in time126 62 
Total revenue, net$3,083 $2,546 
The following table presents a summary of revenue by geography for the three and six month periods ended June 30, 2022 and 2021:
Three months ended June 30,
20222021
United States$655 $622 
Japan282 354 
Germany257 65 
Other177 96 
Total revenue$1,371 $1,137 
Six months ended June 30,
20222021
United States$1,439 $1,325 
Japan709 921 
Germany520 127 
Other415 173 
Total revenue$3,083 $2,546 
Accounts receivable, contract assets and liabilities, and changes in deferred revenue
The following table provides information about account receivable, contract assets and liabilities as of June 30, 2022 and December 31, 2021 (in thousands):
June 30,December 31,
20222021
Contract assets:
Trade account receivable$918 $421 
Unbilled receivables, which are included in 'Prepaid expenses and other current assets'41 17 
Total contract assets959 438 
Contract liabilities:
Deferred revenue, current2,595 2,665 
Deferred revenue, noncurrent20 54 
Customer deposit, which are included in 'Accrued expenses and other current liabilities'21 21 
Total contract liabilities$2,636 $2,740 
Changes in deferred revenue from contracts with customers were as follows (in thousands):
June 30,December 31,
20222021
Balance at beginning of period$2,719 $4,713 
Deferral of revenue2,906 4,092 
Recognition of deferred revenue(3,010)(6,086)
Balance at end of period$2,615 $2,719