
Local optima of the SherringtonKirkpatrick Hamiltonian
We study local optima of the Hamiltonian of the SherringtonKirkpatrick ...
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Minimalnorm static feedbacks using dissipative Hamiltonian matrices
In this paper, we characterize the set of staticstate feedbacks that st...
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Direct Application of the Phase Estimation Algorithm to Find the Eigenvalues of the Hamiltonians
The eigenvalue of a Hamiltonian, H, can be estimated through the phase e...
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On the information content of the difference from hamiltonian evolution
A dissipative version of hamiltonian mechanics is proposed via a princip...
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Multisymplectic Hamiltonian Variational Integrators
Variational integrators have traditionally been constructed from the per...
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Effective gaps are not effective: quasipolynomial classical simulation of obstructed stoquastic Hamiltonians
All known examples confirming the possibility of an exponential separati...
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Finding the closest normal structured matrix
Given a structured matrix A we study the problem of finding the closest ...
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On skewHamiltonian Matrices and their KrylovLagrangian Subspaces
It is a wellknown fact that the Krylov space K_j(H,x) generated by a skewHamiltonian matrix H ∈R^2n × 2n and some x ∈R^2n is isotropic for any j ∈N. For any given isotropic subspace L⊂R^2n of dimension n  which is called a Lagrangian subspace  the question whether L can be generated as the Krylov space of some skewHamiltonian matrix is considered. The affine variety HK of all skewHamiltonian matrices H ∈R^2n × 2n that generate L as a Krylov space is analyzed. Existence and uniqueness results are proven, the dimension of HK is found and skewHamiltonian matrices with minimal 2norm and Frobenius norm in HK are identified. In addition, a simple algorithm is presented to find a basis of HK.
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