48 citations · 64 across the 6 of their papers we have counts for
8 papers · 1 filter
Replacing Two Controlled-U's with Two CNOTs
Robert R. Tucci
We give a simple, closed-form formula, what we call the Deflation Identity, for converting any 2-qubit circuit with exactly two controlled-U's (and some 1-qubit rotations) into an…
An Introduction to Cartan's KAK Decomposition for QC Programmers
Robert R. Tucci
This paper presents no new results; its goals are purely pedagogical. A special case of the Cartan Decomposition has found much utility in the field of quantum computing, especiall…
Quantum Compiling with Approximation of Multiplexors
Robert R. Tucci
A quantum compiling algorithm is an algorithm for decomposing ("compiling") an arbitrary unitary matrix into a sequence of elementary operations (SEO). Suppose is an $\nb$…
Quantum Fast Fourier Transform Viewed as a Special Case of Recursive Application of Cosine-Sine Decomposition
Robert R. Tucci
A quantum compiler is a software program for decomposing ("compiling") an arbitrary unitary matrix into a sequence of elementary operations (SEO). Coppersmith showed that the $\nb$…
Qubiter Algorithm Modification, Expressing Unstructured Unitary Matrices with Fewer CNOTs
Robert R. Tucci
A quantum compiler is a software program for decomposing ("compiling") an arbitrary unitary matrix into a sequence of elementary operations (SEO). The author of this paper is also…
QC Paulinesia
Robert R. Tucci
My goal in producing this document was to create a collection of qubit circuit identities that are used in Quantum Computing. Mathematicians and Physicists may consider it as being…