I had exactly the same problem with D800E, but with v 7.0.2 it's completely gone. There is a work around, so you can reopen C1 without rebooting the computer(but, it still won't recognize the camera) - start Task Manager and find Capture One under Processes and then click End Process. After that you should be able to reopen C1.
C1 also exhibits almost exactly similar behaviour on my Windows 7 (Pro, SP1, 64-bit) desktop system; here, the disconnect/reconnect problem is identical, however on this system C1 does not lock up when the problem occurs and can be closed normally, but will then not reopen at all until after a reboot.