This paper seeks to model human language by the mathematical framework of
quantum physics. With the well-designed mathematical formulations in quantum
physics, this framework unifies different linguistic units in a single
complex-valued vector space, e.g. words as particles in quantum states and
sentences as mixed systems. A complex-valued network is built to implement this
framework for semantic matching. With well-constrained complex-valued
components, the network admits interpretations to explicit physical meanings.
The proposed complex-valued network for matching (CNM) achieves comparable
performances to strong CNN and RNN baselines on two benchmarking question
answering (QA) datasets.