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Revenue from contracts with customers (Tables)
3 Months Ended
Mar. 31, 2023
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 March 31,
20232022
Type of products or services
QCaaS$1,168 $1,384 
Professional services406 309 
Other revenue20 
Total revenue, net$1,583 $1,713 
Timing of revenue recognition
Revenue recognized over the time$1,542 $1,662 
Revenue recognized at a point in time41 51 
Total revenue, net$1,583 $1,713 
The following table presents a summary of revenue by geography for the three months ended March 31, 2023 and 2022 (in thousands):
Three months ended March 31,
20232022
United States$247 $777 
Japan308 434 
Germany288 263 
United Kingdom231 — 
Other509 239 
Total revenue$1,583 $1,713 
Significant customers
The tables below present the significant customers on a percentage of total revenue basis for the three months ended March 31, 2023 and 2022.
Three months ended March 31,
20232022
Customer A15 %14 %
Customer B13 %13 %
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 March 31, 2023 and December 31, 2022 (in thousands):
March 31,December 31,
20232022
Contract assets:
Trade account receivable$542 $757 
Unbilled receivables, included in 'Prepaid expenses and other current assets'59 58 
Total contract assets601 815 
Contract liabilities:
Deferred revenue, current1,827 1,781 
Deferred revenue, noncurrent
Customer deposit, included in 'Accrued expenses and other current liabilities'45 45 
Total contract liabilities$1,881 $1,835 
Changes in deferred revenue from contracts with customers were as follows (in thousands):
March 31,December 31,
20232022
Balance at beginning of period$1,790 $2,719 
Deferral of revenue1,166 5,325 
Recognition of deferred revenue(1,120)(6,254)
Balance at end of period$1,836 $1,790