Quantum Approximations
نویسندگان
چکیده
منابع مشابه
Finite Approximations to Quantum Physics: Quantum Points and Their Bundles
There exists a physically well motivated method for approximating manifolds by certain topological spaces with a finite or a countable set of points. These spaces, which are partially ordered sets (posets) have the power to effectively reproduce important topological features of continuum physics like winding numbers and fractional statistics, and that too often with just a few points. In this ...
متن کاملComparison of two-quantum-cluster approximations
We provide microscopic diagrammatic derivations of the molecular coherent potential approximation ~MCA! and dynamical cluster approximation ~DCA! and show that both are F derivable. The MCA ~DCA! maps the lattice onto a self-consistently embedded cluster with open ~periodic! boundary conditions, and therefore violates ~preserves! the translational symmetry of the original lattice. As a conseque...
متن کاملApproximations for strongly-coupled supersymmetric quantum mechanics
We advocate a set of approximations for studying the finite temperature behavior of strongly-coupled theories in 0+1 dimensions. The approximation consists of expanding about a Gaussian action, with the width of the Gaussian determined by a set of gap equations. The approximation can be applied to supersymmetric systems, provided that the gap equations are formulated in superspace. It can be ap...
متن کاملEfficient Discrete Approximations of Quantum Gates
Quantum compiling addresses the problem of approximating an arbitrary quantum gate with a string of gates drawn from a particular finite set. It has been shown that this is possible for almost all choices of base sets and furthermore that the number of gates required for precision ǫ is only polynomial in log 1/ǫ. Here we prove that using certain sets of base gates quantum compiling requires a s...
متن کاملOn variational approximations in quantum molecular dynamics
The Dirac-Frenkel-McLachlan variational principle is the basic tool for obtaining computationally accessible approximations in quantum molecular dynamics. It determines equations of motion for an approximate timedependent wave function on an approximation manifold of reduced dimension. This paper gives a near-optimality result for variational approximations. It bounds the error in terms of the ...
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ژورنال
عنوان ژورنال: Nature
سال: 1966
ISSN: 0028-0836,1476-4687
DOI: 10.1038/211798b0