Provide a detailed analysis of the theoretical limits of quantum computing. Consider the following aspects: 1) Fundamental physical constraints on quantum computation, including uncertainty principles and quantum decoherence. 2) Complexity theory bounds: which problems are theoretically solvable by quantum computers but not classical computers, and vice versa? 3) Thermodynamic constraints and the role of entropy in quantum computing. 4) How quantum computing paradigms (gate-based, adiabatic, measurement-based, topological) compare in terms of theoretical limits. 5) Speculative approaches that might extend these limits. Your analysis should include mathematical expressions where appropriate and discuss the implications of these limitations for the future of computational theory and applications.