Quantum information theory | Quantum measurement | Quantum information science | Quantum computing
The term quantum state discrimination collectively refers to quantum-informatics techniques, with the help of which, by performing a small number of measurements on a physical system , its specific quantum state can be identified . And this is provided that the set of states in which the system can be is known in advance, and we only need to determine which one it is. This assumption distinguishes such techniques from quantum tomography, which does not impose additional requirements on the state of the system, but requires many times more measurements. If the set of states in which the investigated system can be is represented by orthogonal vectors , the situation is particularly simple. To unambiguously determine the state of the system, it is enough to perform a quantum measurement in the basis formed by these vectors. The given quantum state can then be flawlessly identified from the measured value. Moreover, it can be easily shown that if the individual states are not orthogonal to each other, there is no way to tell them apart with certainty. Therefore, in such a case, it is always necessary to take into account the possibility of incorrect or inconclusive determination of the state of the system. However, there are techniques that try to alleviate this deficiency. With exceptions, these techniques can be divided into two groups, namely those based on error minimization and then those that allow the state to be determined unambiguously in exchange for lower efficiency. The first group of techniques is based on the works of CW Helstrom from the 60s and 70s of the 20th century and in its basic form consists in the implementation of projective quantum measurement , where the measurement operators are projective representations. The second group is based on the conclusions of a scientific article published by ID Ivanovich in 1987 and requires the use of generalized measurement, in which the elements of the POVM set are taken as measurement operators. Both groups of techniques are currently the subject of active, primarily theoretical, research, and apart from a number of special cases, there is no general solution that would allow choosing measurement operators in the form of expressibleanalytical formula , known. More precisely, in its standard formulation, the problem involves performing some POVM on a given unknown state , under the promise that the state received is an element of a collection of states , with occurring with probability , that is, . The task is then to find the probability of the POVM correctly guessing which state was received. Since the probability of the POVM returning the -th outcome when the given state was has the form , it follows that the probability of successfully determining the correct state is . (Wikipedia).
Here's What a Quantum Wave Function REALLY Represents
The quantum mechanical wave function can seem a little bit mysterious, but here's what it really represents. We begin by looking at a particle that can only move along a single direction, between two fixed points. These restrictions are absolutely not necessary in order to understand the
From playlist Quantum Physics by Parth G
Quantum Operators for measurements of Energy, Position, and Momentum in Quantum Physics. My Patreon page is at https://www.patreon.com/EugeneK
From playlist Physics
Find out what it takes for a quantum computer to beat a classical computer to achieve quantum supremacy. Check out this video's sponsor https://brilliant.org/dos Quantum supremacy’s that moment when a quantum computer beats the best supercomputers at solving some kind of problem, and it’s
From playlist Quantum Physics Videos - Domain of Science
Quantum Theory - Full Documentary HD
Check: https://youtu.be/Hs_chZSNL9I The World of Quantum - Full Documentary HD http://www.advexon.com For more Scientific DOCUMENTARIES. Subscribe for more Videos... Quantum mechanics (QM -- also known as quantum physics, or quantum theory) is a branch of physics which deals with physica
From playlist TV Appearances
Quantum field theory, Lecture 2
This winter semester (2016-2017) I am giving a course on quantum field theory. This course is intended for theorists with familiarity with advanced quantum mechanics and statistical physics. The main objective is introduce the building blocks of quantum electrodynamics. Here in Lecture 2
From playlist Quantum Field Theory
Breaking Quantum Physics (But Not Really): Mixed States + Density Operators | Parth G
Pure quantum states have wave function representations, but the same is not true for mixed states. Find out why density matrices are needed to correctly represent mixed states. Hey everyone! Popular science discussions of quantum mechanics often focus on the wave function - and rightly so
From playlist Quantum Physics by Parth G
Quantum Well Density of States
https://www.patreon.com/edmundsj If you want to see more of these videos, or would like to say thanks for this one, the best way you can do that is by becoming a patron - see the link above :). And a huge thank you to all my existing patrons - you make these videos possible. Perhaps almos
From playlist Quantum Mechanics
Quantum generative adversarial networks | TDLS Author Speaking
Toronto Deep Learning Series, 18 June 2018 For slides and more information, visit https://tdls.a-i.science/events/2018-06-18/ Paper Review: https://arxiv.org/abs/1804.08641 Speaker: https://www.linkedin.com/in/pierre-luc-dallaire-demers-006540116/ Organizer: https://www.linkedin.com/in/
From playlist Quantum Machine Learning
Carlos Bravo-Prieto - Variational quantum architectures for linear algebra applications
Recorded 27 January 2022. Carlos Bravo-Prieto of the University of Barcelona presents "Variational quantum architectures for linear algebra applications" at IPAM's Quantum Numerical Linear Algebra Workshop. Abstract: Current quantum computers typically have a few tens of qubits and are pro
From playlist Quantum Numerical Linear Algebra - Jan. 24 - 27, 2022
What is the quantum measurement problem?
Subscribe to our YouTube Channel for all the latest from World Science U. Visit our Website: http://www.worldscienceu.com/ Like us on Facebook: https://www.facebook.com/worldscienceu Follow us on Twitter: https://twitter.com/worldscienceu
From playlist Science Unplugged: Quantum Mechanics
Exploring Quantum Physics using Spin Ensembles by T S Mahesh
21 November 2016 to 10 December 2016 VENUE Ramanujan Lecture Hall, ICTS Bangalore Quantum Theory has passed all experimental tests, with impressive accuracy. It applies to light and matter from the smallest scales so far explored, up to the mesoscopic scale. It is also a necessary ingredie
From playlist Fundamental Problems of Quantum Physics
Giacomo De Palma: "The quantum Wasserstein distance of order 1"
Entropy Inequalities, Quantum Information and Quantum Physics 2021 "The quantum Wasserstein distance of order 1" Giacomo De Palma - Massachusetts Institute of Technology, Research Laboratory of Electronics Abstract: We propose a generalization of the Wasserstein distance of order 1 to th
From playlist Entropy Inequalities, Quantum Information and Quantum Physics 2021
Discriminating quantum states: the multiple Chernoff distance - K. Li - Workshop 2 - CEB T3 2017
Ke Li / 27.10.17 Discriminating quantum states: the multiple Chernoff distance Suppose we are given n copies of one of the quantum states {rho_1,..., rho_r}, with an arbitrary prior distribution that is independent of n. The multiple hypothesis Chernoff bound problem concerns the minimal
From playlist 2017 - T3 - Analysis in Quantum Information Theory - CEB Trimester
Demystifying Quantum Machine Learning with Luis Serrano, PhD (Zapata Computing)
Synthetic Intelligence Forum is excited to convene a session about "Demystifying Quantum Machine Learning" with Luis Serrano, PhD (Quantum AI Research Scientist at Zapata Computing). Topic: Quantum computers are known to be efficient for factoring numbers. They can efficiently simulate so
From playlist ML Talks by Luis Serrano
Quantum Theory - the Heisenberg Uncertainty Principle: Oxford Mathematics 2nd Year Student Lecture
Here is the latest lecture in the series of undergraduate lectures that we are making available to give an insight in to life in Oxford Mathematics. This is the second lecture taken from James Sparks's Second Year Quantum Theory course. We begin by giving a formal mathematical statement a
From playlist Oxford Mathematics 2nd Year Student Lectures
AI Weekly Update #7 October 6th, 2019
2:08 Tensorflow 2.0 4:20 HuggingFace Transformers in Tensorflow 2.0 5:06 Berkeley Deep Dynamics Models for Dexterous Manipulation 7:10 Distill - The Paths Perspective on Value Learning 8:56 Google Quantum Control with Reinforcement Learning 9:40 Google Paraphrase Understanding Dataset 11:1
From playlist AI Research Weekly Updates
Bound states, scattering states, and tunneling
An explanation of the difference between bound states and scattering states in quantum mechanics and contrasted to classical mechanics, with a brief introduction to the concept of quantum tunneling. (This lecture is part of a series for a course based on Griffiths' Introduction to Quantum
From playlist Quantum Mechanics Videos
The Geometric Langlands conjecture and non-abelian Hodge theory (Lecture 2) by Ron Donagi
Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries
From playlist Quantum Fields, Geometry and Representation Theory
Kirsten Eisenträger: Computing endomorphism rings of supersingular elliptic curves
CIRM HYBRID EVENT Computing endomorphism rings of supersingular elliptic curves is an important problem in computational number theory, and it is also closely connected to the security of some of the recently proposed isogeny-based cryptosystems. In this talk we give a new algorithm for co
From playlist Number Theory
Quantum Mechanics 1.1: Introduction
In this video I provide some motivation behind the development of quantum mechanics, kicking off a new series on everything you've been wondering about quantum mechanics! Twitter: https://twitter.com/SciencePlease_
From playlist Quantum Mechanics