Entangling capabilities of symmetric two-qubit gates

Sirsi, S. and Adiga, V. and Hegde, S. (2014) Entangling capabilities of symmetric two-qubit gates. Pramana - Journal of Physics, 83 (2). pp. 279-287. ISSN 0973-7111

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Official URL: https://doi.org/10.1007/s12043-014-0796-4

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 \textbarj = 1,μ�;μ = +1, 0,-1. 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 Jx, Jy, Jz. 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.

Item Type: Article
Uncontrolled Keywords: Decomposition, Angular momentum operators, Separable state, Angular momentum, Atom lasers, Entangling power, Hamiltonians, Hermitian operators, Linearly independents, Logic gates, Maximally entangled state, Quantum entanglement, Time evolutions, Two-qubit gates
Subjects: D Physical Science > Physics
Divisions: Department of > Physics
Depositing User: Arshiya Kousar
Date Deposited: 20 Aug 2019 10:08
Last Modified: 20 Aug 2019 10:08
URI: http://eprints.uni-mysore.ac.in/id/eprint/4406

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