The toric code is a topological quantum error correcting code, and an example of a stabilizer code, defined on a two-dimensional spin lattice. It is the simplest and most well studied of the quantum double models. It is also the simplest example of topological order—Z2 topological order(first studied in the context of Z2 spin liquid in 1991). The toric code can also be considered to be a Z2 lattice gauge theory in a particular limit. It was introduced by Alexei Kitaev. The toric code gets its name from its periodic boundary conditions, giving it the shape of a torus. These conditions give the model translational invariance, which is useful for analytic study. However, some experimental realizations require open boundary conditions, allowing the system to be embedded on a 2D surface. The resulting code is typically known as the planar code. This has identical behaviour to the toric code in most, but not all, cases. (Wikipedia).
Finding the solutions to a trigonometric equation
👉 Learn how to solve trigonometric equations by factoring out the GCF. When solving trigonometric equations involving the multiples of the same trigonometric function. It is very useful to collect similar trigonometric functions together and then factor out the GCF. This enables us to use
From playlist Solve Trigonometric Equations
What is the definition of scientific notation
👉 Learn about scientific notations. Scientific notation is a convenient way of writing very large or very small numbers. A number written in scientific notation is of the form a * 10^n where a is the first non-zero number between 1 and 10, (1 included) and n is the number of digits up to t
From playlist Scientific Notation | Learn About
How to find the reference angle of an angle larger than 2pi
👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we determine the quadrant on which the given angle lies and use the reference angle formula for the quadrant
From playlist Find the Reference Angle
Find the reference angle of a angle larger than 2pi
👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we determine the quadrant on which the given angle lies and use the reference angle formula for the quadrant
From playlist Find the Reference Angle
Mirror symmetry and cluster algebras – Paul Hacking & Sean Keel – ICM2018
Algebraic and Complex Geometry Invited Lecture 4.15 Mirror symmetry and cluster algebras Paul Hacking & Sean Keel Abstract: We explain our proof, joint with Mark Gross and Maxim Kontsevich, of conjectures of Fomin–Zelevinsky and Fock–Goncharov on canonical bases of cluster algebras. We i
From playlist Algebraic & Complex Geometry
How to determine the reference angle of an angle in degrees
👉 Learn how to find the reference angle of a given angle. The reference angle is the acute angle formed by the terminal side of an angle and the x-axis. To find the reference angle, we determine the quadrant on which the given angle lies and use the reference angle formula for the quadrant
From playlist Find the Reference Angle
Nonlinear algebra, Lecture 7: "Toric Varieties", by Mateusz Michalek
This is the seventh lecture in the IMPRS Ringvorlesung, the advanced graduate course at the Max Planck Institute for Mathematics in the Sciences.
From playlist IMPRS Ringvorlesung - Introduction to Nonlinear Algebra
How to solve a trigonometric equation by using factoring
👉 Learn how to solve trigonometric equations by factoring out the GCF. When solving trigonometric equations involving the multiples of the same trigonometric function. It is very useful to collect similar trigonometric functions together and then factor out the GCF. This enables us to use
From playlist Solve Trigonometric Equations
Solving trigonometric equations
👉 Learn how to solve trigonometric equations by factoring out the GCF. When solving trigonometric equations involving the multiples of the same trigonometric function. It is very useful to collect similar trigonometric functions together and then factor out the GCF. This enables us to use
From playlist Solve Trigonometric Equations
Solving a trigonometric equation with applying pythagorean identity
👉 Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include factoring out the GCF and simplifying the factored equation. Another method is to use a trigonometric identity to reduce and then simplify the given eq
From playlist Solve Trigonometric Equations by Factoring
From Floer to Hochschild via matrix factorisations - Jack Smith
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar Topic: From Floer to Hochschild via matrix factorisations Speaker: Jack Smith Affiliation: Cambridge University Date: April 21, 2022 The Hochschild cohomology of the Floer algebra of a Lagrangian L, and the associa
From playlist Mathematics
Learn how to factor and solve a trigonometric equation
👉 Learn how to solve trigonometric equations by factoring out the GCF. When solving trigonometric equations involving the multiples of the same trigonometric function. It is very useful to collect similar trigonometric functions together and then factor out the GCF. This enables us to use
From playlist Solve Trigonometric Equations
The topology of proper toric maps - Mark Andrea de Cataldo
Mark Andrea de Cataldo Stony Brook University; Member, School of Mathematics October 1, 2014 I will discuss some of the topology of the fibers of proper toric maps and a combinatorial invariant that comes out of this picture. Joint with Luca Migliorini and Mircea Mustata. More videos on
From playlist Mathematics
Coherent-constructible correspondence and homological mirror symmetry II - Melissa Liu
Melissa Liu Columbia University May 12, 2011 For more videos, visit http://video.ias.edu
From playlist Mathematics
On the Gamma conjecture associated with toric flips - Hiroshi Iritani
Workshop on Homological Mirror Symmetry: Methods and Structures Title: On the Gamma conjecture associated with toric flips Speaker: Hiroshi Iritani Affiliartion: Kyoto University Date: November 7, 2016 For more video, visit http://video.ias.edu
From playlist Mathematics
Ernesto Lupercio: On the moduli space for Quantum Toric Varieties
Talk by Ernesto Lupercio in Global Noncommutative Geometry Seminar (Americas) on November 5, 2021, https://globalncgseminar.org/talks/tba-17/
From playlist Global Noncommutative Geometry Seminar (Americas)
Lars Martin Sektnan: Extremal Poincaré type metrics and stability of pairs on Hirzebruch surfaces
Abstract: In this talk I will discuss the existence of complete extremal metrics on the complement of simple normal crossings divisors in compact Kähler manifolds, and stability of pairs, in the toric case. Using constructions of Legendre and Apostolov-Calderbank-Gauduchon, we completely c
From playlist Analysis and its Applications
Embedding Obstructions for Non-Toric Rational Surfaces from Newton-Okounkov Bodies- Ben Wormleighton
Joint IAS/Princeton University Symplectic Geometry Seminar Topic: Embedding Obstructions for Non-Toric Rational Surfaces from Newton-Okounkov Bodies Speaker: Ben Wormleighton Affiliation: Washington University Date: November 14, 2022 ECH capacities have found many applications to symplec
From playlist Mathematics
Vernier caliper / diameter and length of daily used objects.
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From playlist Fine Measurements