Computational power of symmetric Hamiltonians
نویسندگان
چکیده
منابع مشابه
Computational power of Hamiltonians in quantum computing
error group, 54Addelman and Kempthorne, 60adiabatic, 171adiabatic quantum computing, 171adjacency matrix, 94adjoint action, 76, 90amplification, 149annihilation operator, 134annihilator, 49, 50minimal, 50Arthur-Merlin games, 147average Hamiltonian, 44average Hamiltonian theory, 44 Bloch sphere, 33Bloch vector, 33BPP, 31BQP, 30 Carathéo...
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One way to specify a model of quantum computing is to give a set of control Hamiltonians acting on a quantum state space whose initial state and final measurement are specified in terms of the Hamiltonians. We formalize such models and show that they can be simulated classically in a time polynomial in the dimension of the Lie algebra generated by the Hamiltonians and logarithmic in the dimensi...
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A family of spherical non-Hermitian potentials of the form V (r, θ, φ) = V (r) + f (θ) e/r (where r, V (r) , f (θ) ∈ R, e ∈ C) is studied. With f (θ) = 1/ sin θ, it is shown that the corresponding non-Hermitian Hamiltonians admit some “new” PφTφ−symmetry. It is observed that whilst such PφTφ−symmetric Hamiltonians just copy the eigenvalues of V (r) , the corresponding wavefunctions would rather...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2008
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.78.012346