Qatar Airways is 51% state-owned, and the State of Qatar is not going to allow such a high-profile element of its face to the outside world collapse. Other shareholders may be less than happy about the absence of financial return, but their intersts are decidedly secondary to the State's, and they will be required to lump it for now, as the State's agenda is currently more about profile and presence than profitability (and given that no Balance sheet is currently published, any talk of actuals is pure speculation, or someone inside is playing a dangerous game!).
Re comparisons with Emirates - How long did EK run before breaking even?
Qatar is a country whose wealth is beyond the imagination of most of us from elsewhere - and it's going to get a lot richer over the next few years. GDP per head of national population (exclude the expats - we don't count) is around USD100k already and set to double within 3 years as the flow of LNG and gas-related products increasingly generates massive incremental income. In this context, the State can well afford to loss-lead with its national flag carrier.
And no, I am not AAB or even a QR employee.