To deploy your program when it uses the library, your program will need to include the libraries that the serialization library uses, which are:
the serialization library itself, either as a shared/dynamic library (DLL) or as part of the executable (included/linked as a static library)
the standard C++ library and the C runtime library, which is usually already on the target system. The main exception is the Microsoft Visual C/C++ runtime libraries from Visual C++ 2005 or Visual C++ 2008, which are not in the standard installation of Windows and are not added when service packs are installed. See the Visual C++ documentation for information on how to install the Microsoft C runtime libraries.
the type traits libraries listed above do not require an installable library, because they are "compile-time only libraries", in the sense that their code is only used during compilation and does not generate any dependencies on code in a external library. Thus neither Loki nor boost need to be installed unless you use other parts of those libraries.
See Deployment file organisation for instructions on how to deploy the library with your program.
Mac OS X 10.4 includes SQLite3, but the version included (3.0) is not recent enough to support the serialization library (it lacks a function used by the library), so it is recommended that if you ship your program for Mac OS X 10.4, you do so with a more recent version of SQLite3 (either as a shared library or as part of your executable as a static library); if you ship only for Mac OS X 10.5, you do not need to include a copy of SQLite3 as the included version (3.1) is sufficient. The system C/C++ runtime libraries are fine for the library. So it is recommended that you include both the SQLite3 library as well as the serialization library if you link against the dynamic library versions. See Mac OS X deployment for details.
Windows XP does not include SQLite3 nor the Visual C++ 2005 or Visual C++ 2008 C/C++ runtime libraries, so your program will need to install both of these if you use the dynamic library versions of these libraries, as well as requiring the serialization library DLL if you link against the dynamic library version. See Windows deployment for details.