From this formulae, the permutation groups for ammonia trimer and tetramer as well as benzene trimer have been shown to consist of 1296, 31 104 and 10 368 symmetry operations, respectively. Character tables of non-symmetric trimer molecules of the type MM'N and MNL are relatively much easier...
In this paper, we introduce a novel and general method for computingpartition functions of solvable lattice models with free fermionic Boltzmannweights. The method is based on the ``permutation graph'' and the``$F$-matrix'': the permutation graph is a generalization of the $R$-matrix,and the...
A granular permutation-based representation of complex numbers and quaternions: elements of a possible realistic quantum theory It is suggested that the long–standing conceptual difficulties of quantum theory (the measurement problem and associated concept of probability on the one... TN Palmer - 《Pr...
If the result is not close to a 0 vector, a gradient vector formula can be used to refine the predicted X and another iteration of A*X+Y performed. The most time-consuming aspect of such iterative approaches is the evaluation of A*X+Y, which is a sparse matrix–vector multiplication an...
The multiple photon states may also be reformed as qudit with the help of symmetric primitive states under the permutation invariance32,33. In this paper we focus on the circuit complexity of qudit quantum computations. The results for qubit- systems13 and qutrit-system14 are extended to general...
Bob produces a stateρon the whole space\({{{\mathcal{H}}}^{\otimes (N+1)}\)withN ≥ 1 and sends it to Alice. 2. After receiving the state, Alice randomly permutes theN + 1 systems ofρ(due to this procedure, we can assume thatρis permutation invariant without loss ...
Bounds for the Chebyshev functional and applications to the weighted integral formulae J. Pečarić, M. Ribičić Penava, A. Vukelić Pages 957-965 Purchase PDF Article preview select article Generalized product-type operators from weighted Bergman–Orlicz spaces to Bloch–Orlicz spaces Resear...
64.A census of small transitive groups and vertex-transitive graphs 机译:小型传递基团和顶点传递图的人口普查 作者:Holt Derek;Royle Gordon 期刊名称:《Journal of symbolic computation》 | 2020年第NovaaDeca期 关键词: Transitive permutation group; Vertex-transitive graph; Computer enumeration; Cayley...
which uses the least possible number of CS gates. Because the algorithm is deterministic, the circuit it associates to a Clifford+CS operator can be viewed as a normal form for that operator. We give an explicit description of these normal forms and use this description to derive a worst-cas...
which uses the least possible number of CS gates. Because the algorithm is deterministic, the circuit it associates to a Clifford+CS operator can be viewed as a normal form for that operator. We give an explicit description of these normal forms and use this description to derive a worst-cas...