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Property and equipment, net (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2023
Sep. 30, 2022
Dec. 31, 2022
Property, Plant and Equipment [Line Items]          
Total property and equipment $ 25,729   $ 25,729   $ 25,405
Less: Accumulated depreciation (23,850)   (23,850)   (23,111)
Total Property and equipment, net 1,879   1,879   2,294
Depreciation expense 200 $ 300 700 $ 1,000  
North America          
Revenues from External Customers and Long-Lived Assets [Line Items]          
Long-lived assets 10,400   10,400   11,400
Quantum computer systems          
Property, Plant and Equipment [Line Items]          
Total property and equipment 13,711   13,711   13,714
Lab equipment          
Property, Plant and Equipment [Line Items]          
Total property and equipment 6,838   6,838   6,666
Computer equipment          
Property, Plant and Equipment [Line Items]          
Total property and equipment 3,614   3,614   3,545
Leasehold improvements          
Property, Plant and Equipment [Line Items]          
Total property and equipment 1,075   1,075   1,075
Furniture and fixtures          
Property, Plant and Equipment [Line Items]          
Total property and equipment 372   372   319
Construction-in-progress          
Property, Plant and Equipment [Line Items]          
Total property and equipment $ 119   $ 119   $ 86