Matches in SemOpenAlex for { <https://semopenalex.org/work/W3048801116> ?p ?o ?g. }
- W3048801116 abstract "Due to the limitations of present-day quantum hardware, it is especially critical to design algorithms that make the best possible use of available resources. When simulating quantum many-body systems on a quantum computer, straightforward encodings that transform many-body Hamiltonians into qubit Hamiltonians use $N$ of the available basis states of an $N$-qubit system, whereas ${2}^{N}$ are in theory available. We explore an efficient encoding that uses the entire set of basis states, where terms in the Hamiltonian are mapped to qubit operators with a Hamiltonian that acts on the basis states in Gray code order. This encoding is applied to the commonly studied problem of finding the ground-state energy of a deuteron with a simulated variational quantum eigensolver (VQE). It is compared to a standard ``one-hot'' encoding, and various trade-offs that arise are analyzed. The energy distribution of VQE solutions has smaller variance than the one obtained by the one-hot encoding even in the presence of simulated hardware noise, despite an increase in the number of measurements. The reduced number of qubits and a shorter-depth variational Ansatz enables the encoding of larger problems on current-generation machines. This encoding also demonstrates improvements for simulating time evolution of the same system, producing circuits for the evolution operators with reduced depth and roughly half the number of gates compared to a one-hot encoding." @default.
- W3048801116 created "2020-08-18" @default.
- W3048801116 creator A5003383247 @default.
- W3048801116 creator A5005201641 @default.
- W3048801116 creator A5010177941 @default.
- W3048801116 creator A5053246048 @default.
- W3048801116 creator A5062196201 @default.
- W3048801116 creator A5063311086 @default.
- W3048801116 date "2021-04-02" @default.
- W3048801116 modified "2023-10-10" @default.
- W3048801116 title "Improving Hamiltonian encodings with the Gray code" @default.
- W3048801116 cites W1663839511 @default.
- W3048801116 cites W1903391701 @default.
- W3048801116 cites W1953196287 @default.
- W3048801116 cites W1978951565 @default.
- W3048801116 cites W1980819180 @default.
- W3048801116 cites W1983474581 @default.
- W3048801116 cites W1985289694 @default.
- W3048801116 cites W2027003240 @default.
- W3048801116 cites W2039140951 @default.
- W3048801116 cites W2040792108 @default.
- W3048801116 cites W2054647191 @default.
- W3048801116 cites W2071622671 @default.
- W3048801116 cites W2072105247 @default.
- W3048801116 cites W2114600892 @default.
- W3048801116 cites W2117980155 @default.
- W3048801116 cites W2124289529 @default.
- W3048801116 cites W2128167784 @default.
- W3048801116 cites W2128452997 @default.
- W3048801116 cites W2161685427 @default.
- W3048801116 cites W2179731956 @default.
- W3048801116 cites W2190977618 @default.
- W3048801116 cites W2254754114 @default.
- W3048801116 cites W2257937122 @default.
- W3048801116 cites W2295821770 @default.
- W3048801116 cites W2562526363 @default.
- W3048801116 cites W2597752105 @default.
- W3048801116 cites W2744267405 @default.
- W3048801116 cites W2755255888 @default.
- W3048801116 cites W2778314673 @default.
- W3048801116 cites W2781738013 @default.
- W3048801116 cites W2784059933 @default.
- W3048801116 cites W2794902311 @default.
- W3048801116 cites W2889126882 @default.
- W3048801116 cites W2908516499 @default.
- W3048801116 cites W2923370183 @default.
- W3048801116 cites W2936111285 @default.
- W3048801116 cites W2941172330 @default.
- W3048801116 cites W2954292307 @default.
- W3048801116 cites W2983081883 @default.
- W3048801116 cites W2989336327 @default.
- W3048801116 cites W2990961515 @default.
- W3048801116 cites W3010941104 @default.
- W3048801116 cites W3014386333 @default.
- W3048801116 cites W3097997666 @default.
- W3048801116 cites W3100843411 @default.
- W3048801116 cites W3101824094 @default.
- W3048801116 cites W3101947119 @default.
- W3048801116 cites W3103558166 @default.
- W3048801116 cites W3103810096 @default.
- W3048801116 cites W3103872322 @default.
- W3048801116 cites W3105422430 @default.
- W3048801116 cites W3105513513 @default.
- W3048801116 doi "https://doi.org/10.1103/physreva.103.042405" @default.
- W3048801116 hasPublicationYear "2021" @default.
- W3048801116 type Work @default.
- W3048801116 sameAs 3048801116 @default.
- W3048801116 citedByCount "23" @default.
- W3048801116 countsByYear W30488011162021 @default.
- W3048801116 countsByYear W30488011162022 @default.
- W3048801116 countsByYear W30488011162023 @default.
- W3048801116 crossrefType "journal-article" @default.
- W3048801116 hasAuthorship W3048801116A5003383247 @default.
- W3048801116 hasAuthorship W3048801116A5005201641 @default.
- W3048801116 hasAuthorship W3048801116A5010177941 @default.
- W3048801116 hasAuthorship W3048801116A5053246048 @default.
- W3048801116 hasAuthorship W3048801116A5062196201 @default.
- W3048801116 hasAuthorship W3048801116A5063311086 @default.
- W3048801116 hasBestOaLocation W30488011162 @default.
- W3048801116 hasConcept C11413529 @default.
- W3048801116 hasConcept C114614502 @default.
- W3048801116 hasConcept C121332964 @default.
- W3048801116 hasConcept C121864883 @default.
- W3048801116 hasConcept C125411270 @default.
- W3048801116 hasConcept C126255220 @default.
- W3048801116 hasConcept C130787639 @default.
- W3048801116 hasConcept C130979935 @default.
- W3048801116 hasConcept C154945302 @default.
- W3048801116 hasConcept C184720557 @default.
- W3048801116 hasConcept C203087015 @default.
- W3048801116 hasConcept C33923547 @default.
- W3048801116 hasConcept C41008148 @default.
- W3048801116 hasConcept C58053490 @default.
- W3048801116 hasConcept C62520636 @default.
- W3048801116 hasConcept C84114770 @default.
- W3048801116 hasConceptScore W3048801116C11413529 @default.
- W3048801116 hasConceptScore W3048801116C114614502 @default.
- W3048801116 hasConceptScore W3048801116C121332964 @default.
- W3048801116 hasConceptScore W3048801116C121864883 @default.
- W3048801116 hasConceptScore W3048801116C125411270 @default.