{"arxiv_id":"1303.3557","incoming":{"papers":2,"sentences":2,"groups":[],"unlabelled_sentences":2},"outgoing":{"papers":10,"sentences":17,"groups":[{"kind":"method_or_tool","label":"Uses the method or tool of","papers":2,"sentences":2,"quotes":[{"arxiv_id":"quant-ph/0701194","title":"Computation at a distance","url":"/paper/quant-ph/0701194","section":"Depth Analysis","sentence":"For this case, we apply a linear-depth circuit with depth $n+5$, and size $4n-6$ [ref] to restore the ordering $1,2,⋯, n-1, n$.","intent_p":0.89,"contests_p":null},{"arxiv_id":"quant-ph/0604001","title":"Quantum Circuit Simplification and Level Compaction","url":"/paper/quant-ph/0604001","section":"Comparison with prior art","sentence":"Reusing optimizations in [ref] in the proposed circuit structure is straightforward.","intent_p":0.83,"contests_p":null}]},{"kind":"comparison","label":"Compares with","papers":2,"sentences":2,"quotes":[{"arxiv_id":"1302.5382","title":"Reversible Logic Synthesis by Quantum Rotation Gates","url":"/paper/1302.5382","section":"Comparison with prior art","sentence":"The method in [ref] benefits from a recursive construction with quadratic-depth $2n^2+O(n)$.","intent_p":0.95,"contests_p":null},{"arxiv_id":"quant-ph/0604001","title":"Quantum Circuit Simplification and Level Compaction","url":"/paper/quant-ph/0604001","section":"Comparison with prior art","sentence":"The optimizations in [ref] improve the linear-cost implementation of a multiple-control Toffoli gates with one ancilla from $48n+O(1)$ to $24n+O(1)$.","intent_p":0.89,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1108.3966","title":"Implementation of a Toffoli Gate with Superconducting Circuits","url":"/paper/1108.3966","section":"Introduction","sentence":"In the recent years, several protocols have been proposed to realize the 3-qubit Toffoli gate and its variants in different physical quantum technologies, e.g., with superconducting qubits [ref] , trapped ions [ref] , optical elements [ref] , and cavity quantum electrodynamics [ref] .","intent_p":0.94,"contests_p":null}]}],"unlabelled_sentences":12},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/1303.3557"}}