My cheap-ish Samsung (cheap for a QHD) has an HDMI and a DisplayPort input. If I hook up a laptop to each input, both laptops think the screen is on- even the one who is not currently being displayed.
I haven't been able to find a component to DisplayPort adapter. Best I have been able to find was a component to HDMI or to a VGA adapter at Monoprice. Their HDMI version had many reports of "crushed ...
If you're after a secondary display, there are ample options at varying price points that are sure to pair well with your primary work or gaming monitor.
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