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Property and equipment, net
 9 Months Ended
Sep. 30, 2023
Property, Plant and Equipment [Abstract]  
Property and equipment, net
Property and equipment, net consisted of the following (in thousands):
September 30,December 31,
20232022
Quantum computer systems$13,711 $13,714 
Lab equipment6,838 6,666 
Computer equipment3,614 3,545 
Leasehold improvements1,075 1,075 
Furniture and fixtures372 319 
Construction-in-progress119 86 
Total property and equipment25,729 25,405 
Less: Accumulated depreciation(23,850)(23,111)
Total Property and equipment, net$1,879 $2,294 
Depreciation expense for the three month period ended September 30, 2023 and 2022 was $0.2 million and $0.3 million, respectively. Depreciation expense for the nine month period ended September 30, 2023 and 2022 was $0.7 million and $1.0 million, respectively. The Company has not acquired any property and equipment under capital leases.
As of September 30, 2023 and December 31, 2022, substantially all of the Company’s long-lived assets, consisting of property and plant, net, and operating lease right-of-use assets, amounting to $10.4 million and $11.4 million, respectively, are located in North America, principally in Canada.