This depends on your definition of state

In Communism you do not have the distinction between private companies and communities (aka state). So your workplace will also have to organize public services (like road building and security). In an anarchy this needs to be organized by a voluntary group of interested people (in practice likely aligned with companies). So if you think that the private sector should also provide essential public services, then you would call yourself a capitalist anarchist. If you think that the state should take over production of goods, then you are a communist. But one entity would in the end produce both.