Quantum software plays a critical role in exploiting the full potential of quantum computing
systems. As a result, it has been drawing increasing attention recently. This paper defines …

Quantum computers promise dramatic advantages in processing speed over currently
available computer systems. Quantum computing offers great promise in a wide variety of …

We present our results of the conceptual design and the implementation of ubiquitous
computing applications using smart identification technologies. First, we describe such …

We develop a new framework of algebraic theories with linear parameters, and use it to
analyze the equational reasoning principles of quantum computing and quantum …

A long-standing open problem in the semantics of programming languages supporting
probabilistic choice is to find a commutative monad for probability on the category DCPO. In …

Effectus theory is a new branch of categorical logic that aims to capture the essentials of
quantum logic, with probabilistic and Boolean logic as special cases. Predicates in effectus …

Intuitionistic logic, in which the double negation law not-not-P= P fails, is dominant in
categorical logic, notably in topos theory. This paper follows a different direction in which …

Selinger gave a superoperator model of a first-order quantum programming language and
proved that it is fully definable and hence fully abstract. This paper proposes an extension of …

We consider a programming language that can manipulate both classical and quantum
information. Our language is type-safe and designed for variational quantum programming …

Inductive datatypes in programming languages allow users to define useful data structures
such as natural numbers, lists, trees, and others. In this paper we show how inductive …