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Quantum Computing Approach to Nonrelativistic and Relativistic Molecular Energy Calculations

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388955%3A_____%2F14%3A00427801" target="_blank" >RIV/61388955:_____/14:00427801 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1002/9781118742631.ch04" target="_blank" >http://dx.doi.org/10.1002/9781118742631.ch04</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1002/9781118742631.ch04" target="_blank" >10.1002/9781118742631.ch04</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Quantum Computing Approach to Nonrelativistic and Relativistic Molecular Energy Calculations

  • Original language description

    This chapter reviews quantum algorithms for exact molecular energy calculations, that is, quantum analogs of the full configuration interaction (FCI) calculations. First, the chapter provides the necessary basics of quantum computing including the quantum Fourier transform (QFT), the phase estimation algorithm (PEA), and their semiclassical variants. Next, it presents details of the quantum algorithm for the FCI method (qFCI). It discusses the application to molecular Born?Oppenheimer electronic Hamiltonians. The chapter briefly mentions the initial state preparation and deals with the crucial part of the algorithm, namely the implementation of controlled powers of the exponential of molecular Hamiltonians. It further demonstrates an application of theqFCI method to non-relativistic ground and excited state energy calculations on the example of the methylene molecule. Finally, the chapter talks about the qFCI method for four-component (4c) relativistic computations.

  • Czech name

  • Czech description

Classification

  • Type

    C - Chapter in a specialist book

  • CEP classification

    CF - Physical chemistry and theoretical chemistry

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA203%2F08%2F0626" target="_blank" >GA203/08/0626: Quantum chemistry on quantum computers</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2014

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Book/collection name

    Quantum Information and Computation for Chemistry

  • ISBN

    978-1-118-49566-7

  • Number of pages of the result

    29

  • Pages from-to

    107-135

  • Number of pages of the book

    655

  • Publisher name

    John Wiley

  • Place of publication

    Hoboken

  • UT code for WoS chapter