ACT Corrective Services has lost track of three bracelets used to monitor prisoners' movements in the Alexander Maconochie Centre.
Two prisoners released from the centre have been able to walk out of the facility wearing the ankle bracelets, while a third is missing.
The incidents occurred within the first three weeks of a trial of the radio frequency identification system bracelets.
Tanija Diaz said she was released from the facility on December 1, with prison officers forgetting to remove the device from her ankle. Ms Diaz, who spent seven months in the prison, said she believed she would be able to remove the bracelet at home.
A friend she met soon after being released thought she had escaped from prison after seeing the monitor.
She said when she called the prison about the mistake, she was told to return to the facility to have it removed. ''Their exact words were 'Oh that's a cock-up isn't it','' Ms Diaz said.
Corrective Services confirmed Ms Diaz was released while wearing the tracker.
A second incident occurred when a remandee was released from the courts.
Corrections Minister Simon Corbell said Corrective Services was ''investigating the whereabouts'' of the third device.
''As [Corrective Services] is currently in the middle of the commissioning phase of the RFID roll-out, teething problems would not be unexpected,'' Mr Corbell said.
He said there was no impact on security from the bracelets leaving the prison. Third parties would not be able to glean information from the devices.
Ms Diaz said the incident was distressing.
''I'm really upset because I thought having the RFID made me protected and now it's made me think they didn't even work, because the alarm should have gone off when I left the jail as an escapee,'' she said.
Mr Corbell said Corrective Services management would look at reinforcing procedures following the bungles.
''[Corrective Services] is amending the procedure to make it clearer that a prisoner must have the RFID bracelet removed whenever they leave the AMC, except in circumstances where this may not be practicable.''
The bracelets are expected to be fully operational early next year.
They were intended to be fully functional when the prison opened.