Quantum computing

Physical and logical qubits

In quantum computing, a qubit is a unit of information analogous to a bit (binary digit) in classical computing, but it is affected by quantum mechanical properties such as superposition and entanglement which allow qubits to be in some ways more powerful than classical bits for some tasks. Qubits are used in quantum circuits and quantum algorithms composed of quantum logic gates to solve computational problems, where they are used for input/output and intermediate computations. A physical qubit is a physical device that behaves as a two-state quantum system, used as a component of a computer system. A logical qubit is a physical or abstract qubit that performs as specified in a quantum algorithm or quantum circuit subject to unitary transformations, has a long enough coherence time to be usable by quantum logic gates (c.f. propagation delay for classical logic gates). As of September 2018, most technologies used to implement qubits face issues of stability, decoherence, fault tolerance and scalability. Because of this, many physical qubits are needed for the purposes of error-correction to produce an entity which behaves logically as a single qubit would in a quantum circuit or algorithm; this is the subject of quantum error correction. Thus, contemporary logical qubits typically consist of many physical qubits to provide stability, error-correction and fault tolerance needed to perform useful computations. (Wikipedia).

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Introduction to Logically Equivalent Statements

This video introduces logically equivalent statements and defines De Morgan's laws, implications are disjunctions, double negation, and negation of an implication. mathispower4u.com

From playlist Symbolic Logic and Proofs (Discrete Math)

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Converse Statements - Logic

This video focuses on how to write the converse of a conditional statement. In particular, this video shows how to flip the hypothesis and conclusion of a conditional statement. The concepts of truth value and logical equivalence are explored as well. Your feedback and requests are encour

From playlist Geometry

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The Ultimate Guide to Propositional Logic for Discrete Mathematics

This is the ultimate guide to propositional logic in discrete mathematics. We cover propositions, truth tables, connectives, syntax, semantics, logical equivalence, translating english to logic, and even logic inferences and logical deductions. 00:00 Propositions 02:47 Connectives 05:13 W

From playlist Discrete Math 1

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Simplify the Negation of Statements with Quantifiers and Predicates

This video provides two examples of how to determine simplified logically equivalent statements containing quantifiers and predicates. mathispower4u.com

From playlist Symbolic Logic and Proofs (Discrete Math)

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Connectives and its arithmetic semantics in Python

This video on logical connectives is basic but makes some important points for the upcoming SHA2 coding video. Previous video including a section on the history leading up to the notion of Turing completeness: https://youtu.be/CAUo5aNmvz8 Wikipedia links mentioned in this video: https://en

From playlist Logic

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Introduction to Predicate Logic

This video introduces predicate logic. mathispower4u.com

From playlist Symbolic Logic and Proofs (Discrete Math)

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Intro to Logical Statements

We begin our exploration into logic by analyzing LOGICAL STATEMENTS: 1) Define what a logical statement is 2) Recognize examples as logical statements or not logical statements 3) Use the symbols for "not", "and", and "or". 4) Break down a sentence into its logical structure. **********

From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)

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Logic: The Structure of Reason

As a tool for characterizing rational thought, logic cuts across many philosophical disciplines and lies at the core of mathematics and computer science. Drawing on Aristotle’s Organon, Russell’s Principia Mathematica, and other central works, this program tracks the evolution of logic, be

From playlist Logic & Philosophy of Mathematics

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Who Has The Best Quantum Computer?

This is a summary of all the main companies building quantum computers today, and what their most powerful machines are. You can get the digital image here: https://www.flickr.com/photos/95869671@N08/51849762629/in/dateposted-public/ But we can’t simply look at qubits counts because so man

From playlist Quantum Physics Videos - Domain of Science

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MagLab Theory Winter School 2018: Steven Girvin - Entanglement Entropy

The National MagLab held it's sixth Theory Winter School in Tallahassee, FL from January 8th - 13th, 2018.

From playlist 2018 Theory Winter School

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Five Quantum Computing Misconceptions

I sometimes read things about quantum computing that are not quite right, I clear some up here. Check out this video's sponsor https://brilliant.org/dos Quantum computing is a hot topic these days, but I sometimes see things in the media that I know are probably going to be misinterpreted

From playlist The Map of Quantum Physics Expanded

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Quantum Transport, Lecture 19: Quantum Outlook

Instructor: Sergey Frolov, University of Pittsburgh, Spring 2013 http://sergeyfrolov.wordpress.com/ Summary: surface code, d-wave quantum computer, topological quantum computation. Quantum Transport course development supported in part by the National Science Foundation under grant DMR CAR

From playlist Quantum Transport

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Quantum Technology: Concepts and Prospects by Apoorva D. Patel

ICTS Colloquium Tittle : Quantum Technology - Concepts and Prospects Speaker : Apoorva D. Patel (Indian Institute of Science, Bangalore) DATE : Monday,November 25,2019 Time : 02:30PM VENUE : Madhava Lecture Hall, ICTS Campus Bangalore Abstract : A variety of

From playlist ICTS Colloquia

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Quantum Error Correction, Systolic Geometry, and Probabilistic Embeddings - Elia Portnoy

Computer Science/Discrete Mathematics Seminar I 11:15am|Simonyi 101 and Remote Access Topic: Quantum Error Correction, Systolic Geometry, and Probabilistic Embeddings Speaker: Elia Portnoy Affiliation: Massachusetts Institute of Technology Date: Date: April 10, 2023  A CSS quantum code C=

From playlist Mathematics

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Time-domain multiplexed measurement-based (...) - A. Furusawa - PRACQSYS 2018 - CEB T2 2018

Akira Furusawa (Department of Applied Physics, School of Engineering, The University of Tokyo, Japan) / 04.07.2018 Time-domain multiplexed measurement-based quantum computing for large-scale optical quantum computing There are two types of qubits, stationary and flying qubits. Stationary

From playlist 2018 - T2 - Measurement and Control of Quantum Systems: Theory and Experiments

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AQC 2016 - Boosting Quantum Annealer Performance via Quantum Persistence

A Google TechTalk, June 29, 2016, presented by Gili Rosenberg (1QBit) ABSTRACT: We propose a novel method for reducing the number of variables in quadratic unconstrained binary optimization problems, using a quantum annealer to fix the state of a large portion of the variables to values wi

From playlist Adiabatic Quantum Computing Conference 2016

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Lecture 1 | The Theoretical Minimum

(January 9, 2012) Leonard Susskind provides an introduction to quantum mechanics. Stanford University: http://www.stanford.edu/ Stanford Continuing Studies: http://continuingstudies.stanford.edu/ Stanford University Channel on YouTube: http://www.youtube.com/stanford

From playlist Lecture Collection | The Theoretical Minimum: Quantum Mechanics

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AQC 2016 - Parity Adiabatic Quantum Computing

A Google TechTalk, June 29, 2016, presented by Wolfgang Lechner (University of Innsbruck) ABSTRACT: In this talk I will present an overview of recent ideas on parity adiabatic quantum computing, a scheme which has been introduced [1] as an alternative to the spin glass paradigm of quantum

From playlist Adiabatic Quantum Computing Conference 2016

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Determine if Quantified Statements are True or False from a Table

This video provides several examples on how to determine if a quantified statement is true or false from a given truth table.

From playlist Mathematical Statements (Discrete Math)

Related pages

Qubit | Quantum error correction | Two-state quantum system | Quantum algorithm | Topological quantum field theory | Spin (physics) | Scalability | Quantum threshold theorem | Computational problem | Fermion | Integer | Bit | Quantum logic gate | Quantum entanglement | Spin–statistics theorem | Anyon | Half-integer | Quantum circuit | Quantum decoherence | Quantum computing