Variable Reordering on the QMDD Representation of Quantum Circuits
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2007
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Abstract
In [1], a novel structure was discussed for representing the matrices that can be built from an n-variable r-valued reversible/quantum circuit. This structure, called a QMDD, takes on a form similar to that of a reduced-ordered-binary-decision-diagram (ROBDD). It is known that the order of variables used for developing an ROBDD from a binary logic circuit is relevant to the size and structure of that ROBDD [3]. This paper determines what effect, if any, variable order has on the QMDD structure and proposes a simple heuristic for choosing a ‘good’ variable order.