P versus NP problem

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Related lectures (30)

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Complexity Classes: Introduction and Examples

Introduces complexity classes, including P and NP, and explores examples of easy and hard problems.

Ramanujan Graphs: Generating Functions and Expander Graphs

Explores Ramanujan graphs, generating functions, non-backtracking walks, and expander graphs in relation to NP-hard problems.

Complexity of Algorithms: Big-O Notation

Explores algorithm complexity, big-O notation, induction, recursion, and analysis of running times, covering NP problems and complexity classes.

Quantum Approximate Optimization Algorithm

Covers the Quantum Approximate Optimization Algorithm, physically inspired unitary coupled cluster ansatz, hardware-efficient ansatz, and variational quantum eigensolver.

Computational Complexity: Theory and Applications

Explores computational complexity, NP-completeness, and polynomial reductions in theoretical computer science.

Theory of Computation: Conclusions and Complexity Theory

Explores decision-making problems, complexity theory, and the NP vs P classes.

Effective Field Theory: Testing Weak Interactions

Explores effective field theory for testing weak interactions and parity violation through forward-backward asymmetry.

Theory of Computability: Solvability and Complexity

Explores the theory of computability, decision problems, complexity classes, and the 'P vs. NP' conundrum.

Elements of Computational Complexity

Covers quantum algorithms, complexity classes, Grover's algorithm, and quantum information in computational complexity.

Elements of computational complexity

Covers classical and quantum computational complexity concepts and implications.