Version:            (using KDE Devel)
Installed from:    Compiled sources
Compiler:          GCC 3.3.2 
OS:          Linux

I'm trying to send the login form in the upper right on https://www.google.com/adsense/
Unfortunately you seem to need a valid login for the error ("The process for the https://www.google.com protocol died unexpectedly."). Therefore I've captured the HTTP messages using the Live HTTP Headers Plugin for Mozilla Firebird as you can see below.

There does not seem to be a non-SSL version of this page, therefore I don't know whether the SSL implementation of the HTTP KIO might be the cause. I'm using "OpenSSL 0.9.7c 30 Sep 2003" on Gentoo Linux.

The HTTP messages (note that I replaced some sensitive data with [---]):
----
https://www.google.com/adsense/login.do

POST /adsense/login.do HTTP/1.1
Host: www.google.com
User-Agent: Mozilla/5.0 (X11; U; Linux i686; en-US; rv:1.5) Gecko/20031018 Firebird/0.7
Accept: text/xml,application/xml,application/xhtml+xml,text/html;q=0.9,text/plain;q=0.8,video/x-mng,image/png,image/jpeg,image/gif;q=0.2,*/*;q=0.1
Accept-Language: en-us,en;q=0.5
Accept-Encoding: gzip,deflate
Accept-Charset: ISO-8859-1,utf-8;q=0.7,*;q=0.7
Keep-Alive: 300
Connection: keep-alive
Referer: https://www.google.com/adsense/reports-aggregate
Cookie: [---]
Content-Type: application/x-www-form-urlencoded
Content-Length: 105
destination=%2Fadsense%2Freports-aggregate&username=[---]&password=[---]&null=Login

HTTP/1.x 302 Moved Temporarily
Set-Cookie: AdSenseLocale=en; Expires=Sun, 30-Jan-05 19:49:21 GMT; Path=/
Set-Cookie: AdSenseLocaleSession=en
Set-Cookie: AdSenseLocale=de; Expires=Sun, 30-Jan-05 19:49:21 GMT; Path=/
Set-Cookie: AdSenseLocaleSession=de
Set-Cookie: [---]
Location: /adsense/reports-aggregate
Content-Type: text/html; charset=UTF-8
Cache-Control: private
Content-Length: 0
Date: Sat, 31 Jan 2004 19:49:22 GMT
Server: GFE/1.3
----------------------------------------------------------
https://www.google.com/adsense/reports-aggregate

GET /adsense/reports-aggregate HTTP/1.1
Host: www.google.com
User-Agent: Mozilla/5.0 (X11; U; Linux i686; en-US; rv:1.5) Gecko/20031018 Firebird/0.7
Accept: text/xml,application/xml,application/xhtml+xml,text/html;q=0.9,text/plain;q=0.8,video/x-mng,image/png,image/jpeg,image/gif;q=0.2,*/*;q=0.1
Accept-Language: en-us,en;q=0.5
Accept-Encoding: gzip,deflate
Accept-Charset: ISO-8859-1,utf-8;q=0.7,*;q=0.7
Keep-Alive: 300
Connection: keep-alive
Referer: https://www.google.com/adsense/reports-aggregate
Cookie: [---]

HTTP/1.x 200 OK
Set-Cookie: AdSenseLocale=de; Expires=Sun, 30-Jan-05 19:49:22 GMT; Path=/
Set-Cookie: AdSenseLocaleSession=de
Set-Cookie: [---]
Content-Type: text/html; charset=UTF-8
Content-Encoding: gzip
Cache-Control: private
Transfer-Encoding: chunked
Date: Sat, 31 Jan 2004 19:49:22 GMT
Server: GFE/1.3
----------------------------------------------------------