Compact Representations for the Design of Quantum Logic by Philipp Niemann,Robert Wille

By Philipp Niemann,Robert Wille

This publication discusses glossy techniques and demanding situations of computer-aided layout (CAD) of quantum circuits so as to supplying compact representations of quantum performance. concentrating on the difficulty of quantum performance, it offers Quantum Multiple-Valued selection Diagrams (QMDDs – a method of compactly and successfully representing and manipulating quantum common sense. For destiny quantum desktops, going well past the dimensions of present-day prototypes, the guide layout of quantum circuits that notice a given (quantum) performance on those units isn't any longer an alternative. as a way to stay alongside of the technological advances, tools must be supplied which, just like the layout and synthesis of traditional circuits, instantly generate a circuit description of the specified performance. To this finish, a good illustration of the specified quantum performance is of the essence. whereas simple representations are constrained as a result of their (exponentially) huge matrix descriptions and different choice diagram-like buildings for quantum common sense be afflicted by now not comprehensively assisting ordinary features, QMDDs hire a decomposition scheme that extra obviously versions quantum structures. consequently, QMDDs explicitly aid quantum-mechanical results like part shifts and may be able to take extra good thing about corresponding redundancies, thereby permitting a truly compact illustration of suitable quantum performance composed of dozens of qubits. this gives the foundation for the advance of subtle layout equipment as proven for quantum circuit synthesis and verification.

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