Lecture

Density Operator Formalism

Related lectures (29)

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

Explores critical phenomena in complex systems, including stochastic objects, percolation, and combinatorial optimization.

Theory of Computation: Decidability and Complexity

Delves into the theory of computation, covering decidability, complexity, P vs. NP, and reductions.

P vs NP: Complexity Theory

Delves into complexity theory, focusing on the P vs NP problem and the classification of computational problems based on efficiency.

Elements of Computational Complexity

Introduces computational complexity, decision problems, quantum complexity, and probabilistic algorithms, including NP-hard and NP-complete problems.

Complexity Classes: P and NP

Explores complexity classes P and NP, highlighting solvable and verifiable problems, including NP-complete challenges.

Theory of Computability: Solvability and Complexity

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

Cryptanalysis: Public-Key & The Power of Interaction

Explores cryptanalysis in public-key systems and the power of interaction in interactive proofs, covering CO-NP, NP classes, P vs. NP, and more.

Elements of computational complexity

Covers classical and quantum computational complexity concepts and implications.

Computational Complexity: Theory and Applications

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

Correctness and Soundness of the Qubit Test

Explores the correctness and soundness of the Qubit Test, emphasizing probabilistic algorithms, trapdoors, and function inversion.

Theory of Computation: NP Problems Examples

Examines NP problems, graph coloring, path optimization, and computational complexity distinctions in P and NP classes.

Quantum Approximate Optimization Algorithm

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

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.

Theory of Computation: NP Complexity

Delves into oracles, certificates, and the NP complexity class, raising the fundamental P versus NP question.

Shor Algorithm: Circuit Details II

Explores the Shor algorithm circuit details for efficient number factoring using quantum computing.

Quantum Approximate Optimization Algorithm

Covers the Quantum Approximate Optimization Algorithm (QAOA) for solving combinatorial optimization problems using quantum computers and its application to Boolean Satisfiability (SAT) problems.

Max-Flow Min-Cut

Explores the Ford Fulkerson algorithm, Max-Flow Min-Cut theorem, Incidence matrix, and network optimization complexity.

Complexity & Induction: Algorithms & Proofs

Covers worst-case complexity, algorithms, and proofs including mathematical induction and recursion.

Understanding Complexity: Tractable Problems and NP-Complete

Covers complexity classes, effect on computer time, tractable problems, class NP, and NP-complete problems.