We recently published a new paper (in iiiX 2010) about the use of the quantum IR framework to handle polyrepresentation:
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[Frommholz2010Supporting-Polyrepresentation] I. Frommholz, B. Larsen, B. Piwowarski, M. Lalmas, P. Ingwersen, and K. van Rijsbergen, "Supporting Polyrepresentation in a Quantum-inspired Geometrical Retrieval Framework," in Proceedings of the 3rd iiiX symposium, 2010.
@inproceedings{Frommholz2010Supporting-Polyrepresentation,
author = {Ingo Frommholz and Birger Larsen and Benjamin Piwowarski and Mounia Lalmas and Peter Ingwersen and Keith van Rijsbergen},
Booktitle = {Proceedings of the 3rd {iiiX} symposium},
Date-Added = {2010-05-30 10:46:21 +0100},
Date-Modified = {2010-07-19 10:00:25 +0200},
Month = {aug},
Title = {Supporting Polyrepresentation in a Quantum-inspired Geometrical Retrieval Framework},
Type = {International Conference},
Year = {2010}
}
This first published paper [1] describes (without details) a formalism to model interactive information retrieval. A second paper makes things a bit more concrete [2], and a third one [3] (best poster award at ECIR 2010!) described how to construct a document representation that can be used within a quantum probability formalism.
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[1] 
B. Piwowarski and M. Lalmas, "Structured Information Retrieval and Quantum Theory," in
Proceedings of the Third Quantum Interaction Symposium, 2009.
@inproceedings{Piwowarski2009Structured-Information, Abstract = {Information Retrieval (IR) systems try to identify documents relevant to user queries, which are representations of user information needs. Interaction, context, and document structure are three important and active themes in IR research. We present how we propose to model the task of Structured IR (SIR) based on a QT inspired framework, with a focus on how to exploit user contextual information and user interaction in the search process.},
Author = {Benjamin Piwowarski and Mounia Lalmas},
Booktitle = {Proceedings of the Third Quantum Interaction Symposium},
Crossref = {QI2009},
Date-Added = {2009-01-12 12:30:26 +0000},
Date-Modified = {2010-07-19 10:00:23 +0200},
Editor = {Bruza, Peter and Sofge, D. and Lawless, W. and van Rijsbergen, Cornelis J. and Klusch, M.},
Group = {Quantum Information},
Keywords = {quantum},
Location = {Saarbrucken, Germany},
Month = {March},
Publisher = {Springer},
Read = {Yes},
Series = {Lecture Notes in Artificial Intelligence},
Short-Series = {LNCS},
Short-Title = {Proceedings of the 3rd QI Symposium},
Title = {Structured Information Retrieval and Quantum Theory},
Type = {International Workshop},
Volume = {5494},
Year = {2009}
}
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[2] 
B. Piwowarski and M. Lalmas, "A Quantum-based Model for Interactive Information Retrieval (extended version)," arXiv, 0906.4026, 2009.
@techreport{Piwowarski2009A-Quantum-based-Model, Abstract = {Even the best information retrieval model cannot always identify the most useful answers to a user query. This is in particular the case with web search systems, where it is known that users tend to minimise their effort to access relevant information. It is, however, believed that the interac- tion between users and a retrieval system, such as a web search engine, can be exploited to provide better answers to users. Interactive Informa- tion Retrieval (IR) systems, in which users access information through a series of interactions with the search system, are concerned with building models for IR, where interaction plays a central role. There are many pos- sible interactions between a user and a search system, ranging from query (re)formulation to relevance feedback. However, capturing them within a single framework is difficult and previously proposed approaches have mostly focused on relevance feedback. In this paper, we propose a general framework for interactive IR that is able to capture the full interaction process in a principled way. Our approach relies upon a generalisation of the probability framework of quantum physics, whose strong geometric component can be a key towards a successful interactive IR model.},
Author = {Benjamin Piwowarski and Mounia Lalmas},
Date-Added = {2009-06-22 17:29:45 +0100},
Date-Modified = {2010-07-19 10:00:22 +0200},
Group = {Quantum Information; Information Retrieval},
Institution = {arXiv},
Month = {September},
Number = {0906.4026},
Title = {{A Quantum-based Model for Interactive Information Retrieval (extended version)}},
Year = {2009}
}
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[3] B. Piwowarski, I. Frommholz, Y. Moshfeghi, M. Lalmas, and K. van Rijsbergen, "Filtering documents with subspaces," in Advances in Information Retrieval, 2010.
@inproceedings{Piwowarski2010Filtering-documents,
author = {Benjamin Piwowarski and Ingo Frommholz and Yashar Moshfeghi and Mounia Lalmas and Keith van Rijsbergen},
Booktitle = {{Advances in Information Retrieval}},
Crossref = {ECIR2010},
Date-Added = {2009-11-24 11:41:39 +0000},
Date-Modified = {2010-07-19 10:00:24 +0200},
Editor = {Cathal Gurrin and Yulan He and Gabriella Kazai and Udo Kruschwitz and Suzanne Little and Thomas Roelleke and Stefan R{\"u}ger and Keith van Rijsbergen},
Isbn = {978-3-642-12274-3},
Location = {Heidelberg},
Note = {Best poster award},
Publisher = {Springer},
Series = {Lecture Notes in Computer Science},
Short-Series = {LNCS},
Title = {Filtering documents with subspaces},
Type = {International Conference},
Volume = {5993},
Year = {2010}
}