JAXB.unmarshal of string fails with data generated by JAXB.marshal

[joerg1985]

Some special chars will generate XML data that can not be read afterwards.
I would expect the JAXB.marshal call to fail if this is a expected behaviour, rather than generating unparsable data.

ByteArrayOutputStream out = new ByteArrayOutputStream();        
JAXB.marshal("\u0002", out);
JAXB.unmarshal(new ByteArrayInputStream(out.toByteArray()), String.class);

Stacktrace:

javax.xml.stream.XMLStreamException: ParseError at [row,col]:[751712,65]
Message: Ungültiges XML-Zeichen (Unicode: 0x2) wurde im Elementcontent des Dokuments gefunden.
	at java.xml/com.sun.org.apache.xerces.internal.impl.XMLStreamReaderImpl.next(XMLStreamReaderImpl.java:652)
	at java.xml/com.sun.org.apache.xerces.internal.impl.XMLStreamFilterImpl.findNextEvent(XMLStreamFilterImpl.java:152)
	at java.xml/com.sun.org.apache.xerces.internal.impl.XMLStreamFilterImpl.next(XMLStreamFilterImpl.java:102)
	at org.glassfish.jaxb.runtime.v2.runtime.unmarshaller.StAXStreamConnector.bridge(StAXStreamConnector.java:165)
	at org.glassfish.jaxb.runtime.v2.runtime.unmarshaller.UnmarshallerImpl.unmarshal0(UnmarshallerImpl.java:376)
	... 9 more

Version info:

        <dependency>
            <groupId>com.sun.xml.bind</groupId>
            <artifactId>jaxb-impl</artifactId>
            <version>4.0.4</version>
        </dependency>