2005/09/15 by Robert R. Tucci, Tucci, Robert R. · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Blind Source Separation Techniques #FOS: Physical sciences #Mathematical Analysis and Transform Methods #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0509111
13 pages (8 files: 1 .tex, 2 .sty, 4 .m, 1 .xxx)
arxiv created 2005/09/15 · openalex publication_date 2005/09/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 equivalent circuit with just two CNOTs (and some 1-qubit rotations). We also give two interesting applications of the Deflation Identity; one to "opening and closing a breach" in a quantum circuit, the other to the CS decomposition of a 2-qubit operator.