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Efficient computation of the Zassenhaus formula
Efficient computation Zassenhaus formula Mathematical Physics
2012/4/2
A new recursive procedure to compute the Zassenhaus formula up to high order is presented, providing each exponent in the factorization directly as a linear combination of independent commutators and ...
Direct and Inverse Computation of Jacobi Matrices of Infinite Homogeneous Affine I.F.S
Jacobi Matrices Orthogonal Polynomials Singular Continuous Measures Iterated Function Systems Gaussian–I.F.S. Quadratures
2011/6/24
Abstract: We introduce a new set of algorithms to compute Jacobi matrices associated with measures generated by infinite systems of iterated functions. We demonstrate their relevance in the study of t...
The expansion in ultraspherical polynomials: a simple procedure for the fast computation of the ultraspherical coefficients
Ultraspherical expansions Gegenbauer coefficients Abel transform
2011/6/23
Abstract: We present a simple and fast algorithm for the computation of the coefficients of the expansion of a function f(cos u) in ultraspherical (Gegenbauer) polynomials. We prove that these coeffic...
An efficient algorithm for the computation of the trace of the symmetrized product of an arbitrary number of Dirac matrices with two indices
Clifford algebra and Dirac matrices Field theories in higher dimensions Computer algebra
2011/6/8
An efficient algorithm for the computation of the trace of the symmetrized product of an arbitrary number of Dirac matrices with two indices.
A new and efficient method for the computation of Legendre coefficients
Legendre coefficients Fourier coefficients Abel transform
2011/6/2
Abstract: An efficient procedure for the computation of the coefficients of Legendre expansions is here presented. We prove that the Legendre coefficients associated with a function f(x) can be repres...
CleGo: A package for automated computation of Clebsch-Gordan coefficients in Tensor Product Representations for Lie Algebras A - G
automated computation Clebsch-Gordan coefficients Tensor Product Representations
2010/11/30
We present a program that allows for the computation of tensor products of irreducible representations of Lie algebras A-G based on the explicit construction of weight states. This straightforward ap...
Quantum computation with devices whose contents are never read
Computational Complexity(cs.CC) Formal Languages and Automata Theory(cs.FL) Quantum Physics(quant-ph)
2010/11/9
In classical computation, a "write-only memory" (WOM) is little more than an oxymoron, and the addition of WOM to a (deterministic or probabilistic) classical computer brings no advantage. We prove th...
Lurching Toward Chernobyl: Dysfunctions of Real-Time Computation
information large deviations rate distortion spontaneous symmetry breaking
2010/10/7
Cognitive biological structures, social organizations, and computing machines operating in real time are subject to Rate Distortion Theorem constraints driven by the homology between information sourc...
We present a protocol of remote nondestructive parity measurement (RNPM) on a pair of quantum memories. The protocol works as a single module for key operations such as entanglement generation, Bell m...
Large Scale Quantum Computation in an Anharmonic Linear Ion Trap
Quantum Computation Anharmonic Linear Ion Trap
2009/1/9
We propose a large-scale quantum computer architecture by stabilizing a single large linear ion chain in a very simple trap geometry. By confining ions in an anharmonic linear trap with nearly uniform...
Quantum computation of multifractal exponents through the quantum wavelet transform
Quantum computation multifractal exponents quantum wavelet transform
2008/12/31
We study the use of the quantum wavelet transform to extract efficiently information about the multifractal exponents for multifractal quantum states. We show that, combined with quantum simulation al...
Quantum computation with mesoscopic superposition states
Quantum mesoscopic superposition states
2008/2/1
We present a strategy to engineer a simple cavity-QED two-bit universal quantum gate using
mesoscopic distinct quantum superposition states. The dissipative effect on decoherence and amplitude dampin...
A Maple Package on Symbolic Computation of Conserved
Densities for (1+1)-Dimensional Nonlinear Evolution Systems
conservation laws nonlinear evolution systems computer algebra
2007/8/15
2007Vol.47No.6pp.961-968DOI:
A Maple Package on Symbolic Computation of Conserved
Densities for (1+1)-Dimensional Nonlinear Evolution Systems
YANG Xu-Dong,1 RUAN Hang-Yu,1 and LOU...
Symbolic Computation and q-Deformed Function Solutions of
(2+1)-Dimensional Breaking Soliton
Equation
q-deformed hyperbolic functions symbolic
computation Riccati equation soliton-like solution
2007/8/15
2007Vol.47No.2pp.270-274DOI:
Symbolic Computation and q-Deformed Function Solutions of
(2+1)-Dimensional Breaking Soliton
Equation
CAO Li-Na,1 WANG Deng-Shan,2 and CHEN Lan-Xin3
...
Nonadiabatic Geometric Quantum Computation with
Asymmetric Superconducting Quantum Interference Device
non-adiabatic geometric phase gate dc-SQUID quantum computation
2007/8/15
2002Vol.38No.3pp.285-291DOI:
Nonadiabatic Geometric Quantum Computation with
Asymmetric Superconducting Quantum Interference Device
HAO San-Ru,1,2 HOU Bo-Yu,1 XI Xiao-Qiang,1 and
...