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Permutation-symmetric quantum states appear in a variety of physical situations, and they have been proposed for quantum information tasks. This article builds upon the results of [New J. Phys. 12, 0...
We study the computational difficulty of computing the ground state degeneracy and the density of states for local Hamiltonians. We show that the difficulty of both problems is exactly captured by a c...
We consider the linear Wigner-Fokker-Planck equation subject to confining potentials which are smooth perturbations of the harmonic oscillator potential. For a certain class of perturbations we prove ...
For quantum computation, we investigate the conjecture that superposition of macroscopically distinct states is necessary for large quantum speedup. Although this conjecture was supported for a circu...
There are good reasons to believe that we are classical algorithms run on (effectively) classical machines. However, the fact that a physical state of a system in a universe described by a classical d...
Coherent states for quadratic Hamiltonians      Coherent states  quadratic Hamiltonians        font style='font-size:12px;'> 2010/10/19
The coherent states for a set of quadratic Hamiltonians in the trap regime are constructed. A matrix technique which allows to identify directly the creation and annihilation operators will be prese...
The ladder operator formalism of a general quantum state for su(1,1)ie algebra is obtained. The state bears the generally deformed oscillator algebraic structure. It is found that the Perelomov’s cohe...
Great progress has been made recently in establishing conditions for separability of a particular class of Werner densities on the tensor product space of n d–level systems (qudits). In this brief not...

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