As long as the mines are properly assembled and the activation signal is sent, there's no reason why they shouldn't work. Now, finding an exit aperture is another matter.
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Borg transwarp network
The Borg transwarp network
The Borg transwarp network was a vast series of transwarp conduits spanning the entire galaxy. The conduits were connected by several transwarp hubs, and were supported by a series of interspatial manifolds, which were protected by shielding regulated from the central nexus by the Borg Queen herself. The network maintained thousands of exit apertures in all four quadrants, allowing the Collective to deploy vessels almost anywhere in the Milky Way Galaxy within minutes, giving the Borg a decisive tactical advantag
The transwarp network was destroyed in 2378 when Kathryn Janeway's counterpart from 2404 was able to infect the Queen with a neurolytic pathogen, an act which interfered with the Queen's ability to regulate the shielding protecting the interspatial manifolds. This allowed the crew of the USS Voyager to fire a series of transphasic torpedoes, destroying the manifolds and causing the network to collapse. (VOY: "Endgame")
There were some discrepancies between the display graphic of the network and the dialogue about it. According to dialogue there were six transwarp hubs in the galaxy, while the graphic only showed four hubs, one in each quadrant. Additionally, according to dialogue, there were only exit apertures in the Alpha Quadrant, while the graphic shows a hub in the Alpha Quadrant as well.