Probabilistic Turing machine

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Theoretical computer science
Theory of computation
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Related lectures (23)

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

Formal Definition of Turing Machines

Explores the theoretical definition of computation and introduces Turing machines.

Universal Turing Machine: Definition and Functioning

Explores the universal Turing machine, its canonical representation, and its role in defining algorithms and theoretical computer science concepts.

Undecidability: Part 1

Introduces undecidability in recursive languages and Turing machines, showing languages without algorithmic recognition.

Turing Machines: Basics

Covers the basics of Turing machines, including states, tape manipulation, and problem-solving capabilities.

Turing Machines: Recursive Languages

Explores Turing machines, recursive languages, undecidability, and symbol elimination.

Turing Machines: Recursive Languages

Covers Turing machines, recursive languages, undecidability, and infinite executions in computational theory.

Correctness and Soundness of the Qubit Test

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

Turing Machine Example: Testing for Even Numbers

Demonstrates a Turing machine testing for even numbers using binary input.

Density Operator Formalism

Covers the density operator formalism, polynomial time, NP problems, BPP, QMA, and probabilistic algorithms.

Undecidability: Recursive Languages and Turing Machines

Explores undecidability through recursive languages, Turing machines, and the halting problem.

Theory of Computability and Halting Problem

Covers the theory of computability and the halting problem in algorithms.

Turing Machines: Decidability and Recursion Theory

Explores decidability in Turing machines and recursive languages.

Simon 1 Problem: Quantum Symmetry and Oracle Queries

Explores the Simon 1 problem in quantum computing, emphasizing symmetry, oracle queries, and quantum measurements.

Halting Problem: Unsolvable Problems

Explores the halting problem, demonstrating its unsolvability and the limitations of algorithms.

Turing Machines: Recursive Languages

Explores Turing machines, recursive languages, and decidability in the theory of computation.

Halting Problem: Unsolvable Problems

Explores the unsolvability of the halting problem in algorithms and the limitations of procedures in determining program halting.

Elements of Computational Complexity

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

Computational Complexity

Covers the basics of computational complexity, including big O notation and complexity classes.

BackProp Algorithm: Pseudocode and Processing Steps

Covers the BackProp algorithm, including initialization, signal propagation, error computation, weight updating, and complexity comparison with numerical differentiation.

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