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Quantum Adiabatic Algorithms and Large Spin Tunnelling by Nasa Technical Reports Server (Ntrs) - Paperback
60.90 AED

Quantum Adiabatic Algorithms and Large Spin Tunnelling by Nasa Technical Reports Server (Ntrs) - Paperback

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Category Type
Politics
ISBN
9781287293590
Author
Nasa Technical Reports Server (Ntrs)
Publisher
Bibliogov
Description:

We provide a theoretical study of the quantum adiabatic evolution algorithm with different evolution paths proposed in this paper. The algorithm is applied to a random binary optimization problem (a version of the 3-Satisfiability problem) where the n-bit cost function is symmetric with respect to the permutation of individual bits. The evolution paths are produced, using the generic ...

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    Specifications

    Category Type
    Politics
    ISBN
    9781287293590
    Item EAN
    2724352929588
    People
    Author
    Nasa Technical Reports Server (Ntrs)
    People
    Publisher
    Bibliogov
    Category Type
    Politics
    ISBN
    9781287293590
    Item EAN
    2724352929588
    People
    Author
    Nasa Technical Reports Server (Ntrs)
    People
    Publisher
    Bibliogov
    Technical Information
    Binding
    Paperback
    Languages and countries
    Book Language
    English
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  •  

    Description:

    We provide a theoretical study of the quantum adiabatic evolution algorithm with different evolution paths proposed in this paper. The algorithm is applied to a random binary optimization problem (a version of the 3-Satisfiability problem) where the n-bit cost function is symmetric with respect to

    We provide a theoretical study of the quantum adiabatic evolution algorithm with different evolution paths proposed in this paper. The algorithm is applied to a random binary optimization problem (a version of the 3-Satisfiability problem) where the n-bit cost function is symmetric with respect to the permutation of individual bits. The evolution paths are produced, using the generic control Hamiltonians H (r) that preserve the bit symmetry of the underlying optimization problem. In the case where the ground state of H(0) coincides with the totally-symmetric state of an n-qubit system the algorithm dynamics is completely described in terms of the motion of a spin-n/2. We show that different control Hamiltonians can be parameterized by a set of independent parameters that are expansion coefficients of H (r) in a certain universal set of operators. Only one of these operators can be responsible for avoiding the tunnelling in the spin-n/2 system during the quantum adiabatic algorithm. We show that it is possible to select a coefficient for this operator that guarantees a polynomial complexity of the algorithm for all problem instances. We show that a successful evolution path of the algorithm always corresponds to the trajectory of a classical spin-n/2 and provide a complete characterization of such paths.

    Product Features:
    • Category: Politics
    • Binding: Paperback
    • Language of Text: English
    • Author(s): Nasa Technical Reports Server (Ntrs)
    • Publisher: Bibliogov
    • ISBN: 9781287293590
    • Number of Pages: 30
    • Dimensions: 9.69 x 7.44 x 0.06 inches
 

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