We construct the states that are invariant under action of generalized squeezing operator $\exp{(z{a^{\dagger k}}-z^*a^k)}$ for arbitrary positive integer $k$. The given explicitly in number representation. find a value $k$ there such states. show behave as $n^{-k/4}$ when occupation $n\to\infty$. This implies any $k\geq3$ normalizable. For $k$, expectation values operators form $(a^{\dagger} a...

Categorical quantum mechanics exploits the dagger compact closed structure of finite dimensional Hilbert spaces, and uses graphical calculus string diagrams to facilitate reasoning about processes. A significant portion physics, however, involves infinite processes, it is well-known that category all spaces not closed. Thus, a limitation using categories one cannot directly accommodate natural ...

Abstract The introduction to the special issue on ‘Digital Platforms in Contemporary India: Transformation of Quotidian Life Worlds’ focuses ways which everyday interactions contemporary India have changed since arrival digital platforms. Locating these changes within their specific contexts, essays examine new circulatory assemblages and representational tropes that emerge through between dive...

We introduce the CP*–construction on a dagger compact closed category as a generalisation of Selinger’s CPM–construction. While the latter takes a dagger compact closed category and forms its category of “abstract matrix algebras” and completely positive maps, the CP*–construction forms its category of “abstract C*-algebras” and completely positive maps. This analogy is justified by the case of...

In the imitation learning paradigm algorithms learn from expert demonstrations in order to become able to accomplish a particular task. Daumé III et al. (2009) framed structured prediction in this paradigm and developed the search-based structured prediction algorithm (Searn) which has been applied successfully to various natural language processing tasks with state-of-the-art performance. Rece...

A representation of finite-dimensional probabilistic models in terms of formally real Jordan algebras is obtained, in a strikingly easy way, from simple assumptions. This provides a framework in which real, complex and quaternionic quantum mechanics can be treated on an equal footing, and allows some (but not too much) room for other alternatives. This is based on earlier work (arXiv:1206:2897)...