Quicktab visibility by programing
In Drupal 7 you can use hook_quicktabs_alter


    /**
     * Implementing hook_quicktabs_alter
     * @param type $quicktabs
     */
    function MODULE_NAME_quicktabs_alter(&$quicktabs) {
        global $user;
        foreach ($quicktabs->tabs as $key => $tab) {
            if ($tab['title'] == 'Tab1' && arg(0) == 'user' && is_numeric(arg(1)) && $user->uid == arg(1)) {//check condition as per your requirement
                unset($quicktabs->tabs[$key]);
            }
        }
    }