With the Pro version, you can set the access level to a certain tab with the access or usergroup parameter.

You can also exclude access by placing a ! before the value.

{tab title="This tab is only visible to guest visitors" access="Guest"}
    [TEXT]
{tab title="This tab is only visible to registered users" access="Registered"}
    [TEXT]
{tab title="This tab is only visible to Authors and Editors" usergroup="Authors,Editors"}
    [TEXT]
{tab title="This tab is NOT visible to guest users" access="!Guest"}
    [TEXT]
{tab title="This tab is NOT visible to Editors" usergroup="!Editors"}
    [TEXT]
{/tabs}