Computation in a Topological Quantum Field Theory
... The Rank Finiteness Theorem suggests the feasability of a classification of UMTCs by rank. The process of classification can be understood from the axiomatic specification of a UMTC: each axiom imposes a polynomial constraint with Z-coefficients, equating the classification of UMTCs with counting p ...
... The Rank Finiteness Theorem suggests the feasability of a classification of UMTCs by rank. The process of classification can be understood from the axiomatic specification of a UMTC: each axiom imposes a polynomial constraint with Z-coefficients, equating the classification of UMTCs with counting p ...
Jaynes-Cummings model
... where Ĥint is the interaction Hamiltonian. We can create a simple model for this interaction by considering what physical process(es) can happen. Clearly, one interaction process is for the atom to absorb a photon and thus excite from its ground state. (Because we are in resonance, this is an energ ...
... where Ĥint is the interaction Hamiltonian. We can create a simple model for this interaction by considering what physical process(es) can happen. Clearly, one interaction process is for the atom to absorb a photon and thus excite from its ground state. (Because we are in resonance, this is an energ ...
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... • Alternatively, a normed algebra A can be defined as a normed vector space with a multiplication defined on A such that multiplication is continuous with respect to the norm k · k. • Typically, k is either the reals R or the complex numbers C, and A is called a real normed algebra or a complex norm ...
... • Alternatively, a normed algebra A can be defined as a normed vector space with a multiplication defined on A such that multiplication is continuous with respect to the norm k · k. • Typically, k is either the reals R or the complex numbers C, and A is called a real normed algebra or a complex norm ...
