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The field of quantum algorithms is vibrant. Still, there is currently a lack of programming languages for describing quantum computation on a practical scale, i.e., not just at the level of toy problems. We address this issue by introducing Quipper, a scalable, expressive, functional, higher-order quantum programming language. Quipper has been used to(More)
Overview Given a gate set S universal for quantum computing, the problem of decomposing a unitary operator U into a circuit over S is known as the synthesis problem. This problem can be solved exactly, if U belongs to the set of circuits generated by S. Otherwise, it can be solved approximately, by finding a circuit U such that ||U − U || < for some chosen(More)
Quipper is a recently developed programming language for expressing quantum computations. This paper gives a brief tutorial introduction to the language, through a demonstration of how to make use of some of its key features. We illustrate many of Quipper's language features by developing a few well known examples of Quantum computation , including quantum(More)
The purpose of this study was to examine the distribution of pace self-selected by cyclists of varying ability, biological age and sex performing in a mountain bike World Championship event. Data were collected on cyclists performing in the Elite Male (ELITEmale; n = 75), Elite Female (ELITEfemale; n = 50), Under 23 Male (U23male; n = 62), Under 23 Female(More)
The use of behavioural modelling for operational amplifiers has been well known for many years and previous work has included modelling of specific fault conditions using a macro-model. In this paper, the models are implemented in a more abstract form using analogue Hardware Description Languages (HDLs), including MAST, taking advantage of the ability to(More)
We describe a new efficient algorithm to approximate z-rotations by ancilla-free Pauli+V circuits, up to a given precision ε. Our algorithm is optimal in the presence of an oracle for integer factoring: it outputs the shortest Pauli+V circuit solving the given problem instance. In the absence of such an oracle, our algorithm is still near-optimal, producing(More)