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Property and equipment, net (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Jun. 30, 2022
Jun. 30, 2021
Jun. 30, 2022
Jun. 30, 2021
Dec. 31, 2021
Property, Plant and Equipment [Line Items]          
Total property and equipment $ 25,225   $ 25,225   $ 25,050
Less: Accumulated depreciation (22,453)   (22,453)   (21,801)
Property and equipment, net 2,772   2,772   3,249
Depreciation expense 309 $ 344 705 $ 747  
Quantum computer systems          
Property, Plant and Equipment [Line Items]          
Total property and equipment 13,425   13,425   13,425
Lab equipment          
Property, Plant and Equipment [Line Items]          
Total property and equipment 6,681   6,681   6,645
Computer equipment          
Property, Plant and Equipment [Line Items]          
Total property and equipment 3,352   3,352   3,305
Leasehold improvements          
Property, Plant and Equipment [Line Items]          
Total property and equipment 1,075   1,075   1,074
Furniture and fixtures          
Property, Plant and Equipment [Line Items]          
Total property and equipment 318   318   316
Construction-in-progress          
Property, Plant and Equipment [Line Items]          
Total property and equipment $ 374   $ 374   $ 285