Extending a enum in Java

I have an enum, let's call it A:

public enum A
{
    A,
    B
}

I have a function that takes an enum A:

public void functionA(A enumA)
{
    //do something
}

How can I create another enum, possibly call B that I can pass to functionA? Something like this?

public enum B
{
    C
}

functionA(B.C);

I know that you can't extend an enum, but what other options do I have available? What is the best way to achieve this?