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Fuzzy Scalar Field Theory as Matrix Quantum Mechanics
Fuzzy Scalar Field Theory Matrix Quantum Mechanics
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2011/3/3
We study the phase diagram of scalar field theory on a three dimensional Euclidean spacetime whose spatial component is a fuzzy sphere. The corresponding model is an ordinary one-dimensional matrix mo...
Applications of density matrix in the fractional quantum mechanics
Applications of density matrix fractional quantum mechanics
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2011/2/25
The many-body space fractional quantum system is studied using the density matrix method. We give the new results of the Thomas-Fermi model, and obtain the quantum pressure of the free electron gas. W...
Enumeration of $\C{H}$-strata in quantum matrices with respect to dimension
$\C{H}$-strata in quantum matrices dimension
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2010/12/6
We present a combinatorial method to determine the dimension of H-strata in the algebra of m n quantum matrices Oq(Mm;n(K)) as follows. To a given H-stratum we associate a certain permutation via th...
Decomposition of Unitary Matrices for Finding Quantum Circuits
Decomposition of Unitary MatricesF Quantum Circuits
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2010/12/16
Constructing appropriate unitary matrix operators for new quantum algorithms and finding the
minimum cost gate sequences for the implementation of these unitary operators is of fundamental
importanc...