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Revenue from contracts with customers (Tables)
6 Months Ended
Jun. 30, 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 June 30,
20232022
Type of products or services
QCaaS$1,032 $1,176 
Professional services655 156 
Other revenue20 39 
Total revenue, net$1,707 $1,371 
Timing of revenue recognition
Revenue recognized over the time$1,665 $1,296 
Revenue recognized at a point in time42 75 
Total revenue, net$1,707 $1,371 
Six months ended June 30,
20232022
Type of products or services
QCaaS$2,201 $2,560 
Professional services1,061 464 
Other revenue28 59 
Total revenue, net$3,290 $3,083 
Timing of revenue recognition
Revenue recognized over the time$3,207 $2,957 
Revenue recognized at a point in time83 126 
Total revenue, net$3,290 $3,083 
The following table presents a summary of revenue by geography for the three and six months ended June 30, 2023 and 2022 (in thousands):
Three months ended June 30,
20232022
United States$485 $655 
Japan263 282 
Germany284 257 
Switzerland274 — 
United Kingdom170 — 
Other231 177 
Total revenue$1,707 $1,371 

Six Months Ended June 30,
20232022
United States$731 $1,439 
Japan621 709 
Germany578 520 
Switzerland375 — 
United Kingdom401 — 
Other584 415 
Total revenue$3,290 $3,083 
Significant customers
The tables below present the significant customers on a percentage of total revenue basis for the three and six months ended June 30, 2023 and 2022.

Three months ended June 30,
20232022
Customer A16 %17 %
Customer B14 %14 %
Customer C%11 %
Six Months Ended June 30,
20232022
Customer A14 %15 %
Customer B11 %14 %
Customer C10 %10 %
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, 2023 and December 31, 2022 (in thousands):
June 30,December 31,
20232022
Contract assets:
Trade account receivable$803 $757 
Unbilled receivables, included in 'Prepaid expenses and other current assets'69 58 
   Total contract assets$872 $815 
Contract liabilities:
Deferred revenue, current2,827 1,781 
Deferred revenue, noncurrent120 
Customer deposit, included in 'Accrued expenses and other current liabilities'45 45 
Total contract liabilities$2,992 $1,835 
Changes in deferred revenue from contracts with customers were as follows (in thousands):
June 30,
2023
Balance at beginning of period$1,790 
Deferral of revenue3,227 
Recognition of deferred revenue(2,070)
Balance at end of period$2,947