There are many more than 4 states of matter. Solid, liquid, gas, and plasma are the four that are easily accessible under human conditions, but many others – like superfluids, various forms of degenerate matter, quark-gluon plasma, and many more – exist under exotic enough conditions like the cores of giant stars or the moments after the Big Bang.
That said: antimatter is almost* physically identical to matter, just with some numbers flipped. Antimatter can take the same states as matter can, so antimatter gases, liquids, solids, plasmas, and even more exotic states all exist too. (It turns out that there’s some very slight differences, but nothing that makes a difference to the chemistry that drives the four common states.)
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* it’s known that the behavior of matter and antimatter differs slightly in how they interact with the weak interaction and perhaps the strong nuclear force. But since the properties OP is talking about are dominated by electrons – and therefore by electromagnetism, which **is** the same for both – antimatter is expected to show for-all-intents-and-purposes-the-same chemical properties.
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