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      https://www.ias.ac.in/article/fulltext/pram/083/02/0279-0287

    • Keywords

       

      Quantum entanglement; $SU$(3) generators; entangling power.

    • Abstract

       

      Our work addresses the problem of generating maximally entangled two spin-1/2 (qubit) symmetric states using NMR, NQR, Lipkin–Meshkov–Glick Hamiltonians. Time evolution of such Hamiltonians provides various logic gates which can be used for quantum processing tasks. Pairs of spin-1/2s have modelled a wide range of problems in physics. Here, we are interested in two spin-1/2 symmetric states which belong to a subspace spanned by the angular momentum basis $\{|j = 1,\mu\langle; \mu = + 1, 0, -12\}$. Our technique relies on the decomposition of a Hamiltonian in terms of $SU$(3) basis matrices. In this context, we define a set of linearly independent, traceless, Hermitian operators which provides an alternate set of $SU(n)$ generators. These matrices are constructed out of angular momentum operators J$_x$, J$_y$, J$_z$. We construct and study the properties of perfect entanglers acting on a symmetric subspace, i.e., spin-1 operators that can generate maximally entangled states from some suitably chosen initial separable states in terms of their entangling power.

    • Author Affiliations

       

      Swarnamala Sirsi1 Veena Adiga2 Subramanya Hegde3

      1. Yuvaraja’s College, University of Mysore, Mysore 570 005, India
      2. Department of Physics, St. Joseph’s College (autonomous), Bengaluru 560 027, India
      3. Department of Physics, University of Mysore, Mysore 570 005, India
    • Dates

       
  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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