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Revenue from contracts with customers (Tables)
9 Months Ended
Sep. 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 September 30,
20232022
Type of products or services
QCaaS$1,132 $1,346 
Professional services1,421 347 
Other revenue
Total revenue$2,562 $1,695 
Timing of revenue recognition
Revenue recognized over time$2,506 $1,660 
Revenue recognized at a point in time56 35 
Total revenue$2,562 $1,695 
Nine months ended September 30,
20232022
Type of products or services
QCaaS$3,333 $3,905 
Professional services2,482 812 
Other revenue37 61 
Total revenue$5,852 $4,778 
Timing of revenue recognition
Revenue recognized over time$5,713 $4,618 
Revenue recognized at a point in time139 160 
Total revenue$5,852 $4,778 
The following tables present a summary of revenue by geography, based on the addresses of our customers, for the three and nine months ended September 30, 2023 and 2022 (in thousands):
Three months ended September 30,
20232022
United States$1,083 $951 
Japan299 293 
Germany287 237 
Switzerland311 — 
Other582 214 
Total revenue$2,562 $1,695 
Nine Months Ended September 30,
20232022
United States$1,814 $2,461 
Japan920 1,008 
Germany865 757 
Switzerland686 — 
Other1,567 552 
Total revenue$5,852 $4,778 
Significant customers
The tables below present the significant customers on a percentage of total revenue basis for the three and nine months ended September 30, 2023 and 2022.
Three months ended September 30,
20232022
Customer A13 %15 %
Customer B%11 %
Customer C— %10 %
Customer D12 %— %
Customer E12 %— %
Nine Months Ended September 30,
20232022
Customer A%13 %
Customer B12 %13 %
Customer C12 %— %
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 September 30, 2023 and December 31, 2022 (in thousands):
September 30,December 31,
20232022
Contract assets:
Trade accounts receivable, excluding unbilled receivables$395 $757 
Unbilled receivables1
368 58 
   Total contract assets$763 $815 
Contract liabilities:
Deferred revenue, current$2,177 $1,781 
Deferred revenue, noncurrent92 
Customer deposit2
45 45 
Total contract liabilities$2,314 $1,835 
1 As of December 31, 2022, there was an immaterial amount of unbilled receivables classified as prepaid expenses and other current assets on the condensed consolidated balance sheets.
2Customer deposit is included in "Accrued expenses and other current liabilities" on the condensed consolidated balance sheets.
The allowance for doubtful accounts balance was nil as of September 30, 2023 and December 31, 2022, respectively.
Changes in deferred revenue from contracts with customers were as follows (in thousands):
Nine months ended September 30, 2023
Balance at beginning of period$1,790 
Deferral of revenue4,353 
Recognition of deferred revenue(3,874)
Balance at end of period$2,269