{"arxiv_id":"2408.07803","incoming":{"papers":1,"sentences":1,"groups":[],"unlabelled_sentences":1},"outgoing":{"papers":6,"sentences":6,"groups":[{"kind":"method_or_tool","label":"Uses the method or tool of","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1805.00675","title":"Hamiltonian Simulation in the Interaction Picture","url":"/paper/1805.00675","section":"Adiabatic state preparation","sentence":"To construct a digital quantum algorithm, we can apply the truncated Dyson series method [ref] to solve the Hamiltonian simulation problem in <ref>.","intent_p":1.0,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":3,"sentences":3,"quotes":[{"arxiv_id":"1804.01973","title":"The power of block-encoded matrix powers: improved regression techniques via faster Hamiltonian simulation","url":"/paper/1804.01973","section":"Quantum singular value transformations with feedforward operations","sentence":"To accommodate the unitary nature of quantum operations, the relevant matrix $H$ is accessed through an input model called block encoding, which is a unitary $U_H$ whose upper-left submatrix is equal to $H$ (up to rescaling) [ref] .","intent_p":0.86,"contests_p":null},{"arxiv_id":"2204.05955","title":"Ground state preparation and energy estimation on early fault-tolerant quantum computers via quantum eigenvalue transformation of unitary matrices","url":"/paper/2204.05955","section":"Introduction","sentence":"Efficient quantum algorithms have been demonstrated through QSVT for a variety of problems, including quantum Hamiltonian simulation [ref] , ground state preparation [ref] , quantum linear system problems [ref] , and quantum benchmarking [ref] .","intent_p":0.88,"contests_p":null},{"arxiv_id":"2406.02086","title":"Multi-level quantum signal processing with applications to ground state preparation using fast-forwarded Hamiltonian evolution","url":"/paper/2406.02086","section":"Introduction","sentence":"Efficient quantum algorithms have been demonstrated through QSVT for a variety of problems, including quantum Hamiltonian simulation [ref] , ground state preparation [ref] , quantum linear system problems [ref] , and quantum benchmarking [ref] .","intent_p":0.88,"contests_p":null}]}],"unlabelled_sentences":2},"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/2408.07803"}}