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11	Lecture 9: Tues Feb 14: Superdense Coding OK, now on to some new stuff! Superdense Coding is the first protocol we’ll see that requires entanglement. Basic information theory (Shannon) tells us that “by sending bits, Add to Reading List Source URL: www.scottaaronson.com Language: English - Date: 2018-08-26 18:22:47 Quantum information science Quantum mechanics Theoretical computer science Physics Superdense coding Qubit Controlled NOT gate Bell state Quantum entanglement Entanglement-assisted stabilizer formalism Quantum error correction
12	Lecture 17, Thurs March 23: Quantum Query Complexity, Deutsch-Jozsa People often want to know where the true power of quantum computing comes from. ● Is it the ability of amplitudes to interfere with one another? ● I Add to Reading List Source URL: www.scottaaronson.com Language: English - Date: 2018-09-04 20:36:59 Theoretical computer science Quantum information science Quantum mechanics Quantum computing Models of computation Emerging technologies Quantum algorithm DeutschJozsa algorithm Quantum circuit Decision tree model Qubit Toffoli gate
13	LECTURE 2 Information theory for complex systems Stefan Thurner www.complex-systems.meduniwien.ac.at Add to Reading List Source URL: www.cbpf.br Language: English - Date: 2016-05-06 13:29:49 Information theory Statistical theory Physics Probability and statistics Entropy Conditional entropy Principle of maximum entropy
14	Rational curves on algebraic varieties ——————– Lecture notes for the GAeL XVIII conference Coimbra, Portugal – June 6-11, 2010 and for the Semaine sp´eciale Master de math´ematiques Add to Reading List Source URL: www.math.ens.fr Language: English - Date: 2011-08-29 16:21:31 Abstract algebra Algebra Algebraic geometry Geometry Birational geometry Divisor Projective variety Ample line bundle Rational mapping Scheme Morphism Resolution of singularities
15	INDEX THEORY AND GROUPOIDS CLAIRE DEBORD AND JEAN-MARIE LESCURE Abstract. These lecture notes are mainly devoted to a proof using groupoids and KK-theory of Atiyah and Singer’s index theorem on compact smooth manifolds Add to Reading List Source URL: math.univ-bpclermont.fr Language: English - Date: 2018-03-05 11:11:23 Algebra Mathematics Abstract algebra Homotopy theory Category theory Algebraic structures Differential geometry Algebraic topology Groupoid Lie algebroid Group action Equivalence relation
16	Lecture 21, Thurs April 6: Continued Fractions, Shor Wrap-Up Today we’ll finish Shor’s algorithm and then discuss some of its implications. Last we saw our protagonists, they were in a superposition of the form \|r Add to Reading List Source URL: www.scottaaronson.com Language: English - Date: 2018-08-26 18:23:33 Cryptography Mathematics Theoretical computer science Computational complexity theory Quantum computing Group theory Emerging technologies Quantum algorithm Elliptic curve Time complexity Real number NP
17	Lecture 15, Thurs March 9: Einstein-Certified Randomness Until recently, the Bell inequality was taught because it was historically and conceptually important, not because it had any practical applications. Sure, it esta Add to Reading List Source URL: www.scottaaronson.com Language: English - Date: 2018-08-27 05:42:19 Quantum mechanics Physics Theoretical computer science Quantum information science Cryptography Quantum measurement Statistical randomness Information theory Randomness extractor Randomness Random number generation Pseudorandomness
18	Lecture 1, Tues Jan 17: Course Intro, Church-Turing Thesis ● ● ● Add to Reading List Source URL: www.scottaaronson.com Language: English - Date: 2018-08-29 15:30:40 Theoretical computer science Metaphysics Computer science Alan Turing Computability theory Theory of computation Models of computation ChurchTuring thesis Quantum computing Quantum mechanics Turing machine Introduction to quantum mechanics
19	Lecture Notes on Virtual Substitution & Real Arithmetic Add to Reading List Source URL: symbolaris.com Language: English - Date: 2018-02-19 20:58:37 Differential equations Differential calculus Mathematics Calculus Ordinary differential equation Linear differential equation Equation Partial differential equation Delay differential equation
20	Lecture notes: Basic group and representation theory Thomas Willwacher February 27, 2014 2 Add to Reading List Source URL: people.math.ethz.ch Language: English - Date: 2016-05-02 09:25:10 Algebra Abstract algebra Group theory Mathematics Coset Group action Representation theory Topological group Quotient group Lie algebra representation Group Lie algebra

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