Quantum information science | Quantum computing

Cross-entropy benchmarking

Cross-entropy benchmarking (also referred to as XEB) is quantum benchmarking protocol which can be used to demonstrate quantum supremacy. In XEB, a random quantum circuit is executed on a quantum computer multiple times in order to collect a set of samples in the form of bitstrings . The bitstrings are then used to calculate the cross-entropy benchmark fidelity via a classical computer, given by , where is the number of qubits in the circuit and is the probability of a bitstring for an ideal quantum circuit . If , the samples were collected from a noiseless quantum computer. If , then the samples could have been obtained via random guessing. This means that if a quantum computer did generate those samples, then the quantum computer is too noisy and thus has no chance of performing beyond-classical computations. Since it takes an exponential amount of resources to classically simulate a quantum circuit, there comes a point when the biggest supercomputer that runs the best classical algorithm for simulating quantum circuits can't compute the XEB. Crossing this point is known as achieving quantum supremacy; and after entering the quantum supremacy regime, XEB can only be estimated. The Sycamore processor was the first to demonstrate quantum supremacy via XEB. Instances of random circuits with and 20 cycles were run to obtain an XEB of . Generating samples took 200 seconds on the quantum processor when it would have taken 10,000 years on Summit at the time of the experiment. Improvements in classical algorithms have shortened the runtime to about a week on Sunway TaihuLight thus collapsing Sycamore's claim to quantum supremacy. As of 2021, the latest demonstration of quantum supremacy by Zuchongzhi 2.1 with , 24 cycles and an XEB of holds. It takes around 4 hours to generate samples on Zuchonzhi 2.1 when it would take 10,000 years on Sunway. (Wikipedia).

Video thumbnail

Neural Networks Part 6: Cross Entropy

When a Neural Network is used for classification, we usually evaluate how well it fits the data with Cross Entropy. This StatQuest gives you and overview of how to calculate Cross Entropy and Total Cross Entropy. NOTE: This StatQuest assumes that you are already familiar with... The main

From playlist StatQuest

Video thumbnail

Estimation of Coherence and Cross Spectra

http://AllSignalProcessing.com for more great signal-processing content: ad-free videos, concept/screenshot files, quizzes, MATLAB and data files. Averaging approaches for estimating coherence and cross spectra, analogous to Welch's averaged periodogram estimator of the power spectrum.

From playlist Estimation and Detection Theory

Video thumbnail

Cross Entropy

This video is part of the Udacity course "Deep Learning". Watch the full course at https://www.udacity.com/course/ud730

From playlist Deep Learning | Udacity

Video thumbnail

AQC 2016 - Towards Quantum Supremacy with Pre-Fault-Tolerant Devices

A Google TechTalk, June 28, 2016, presented by Sergio Boixo (Google) ABSTRACT: A critical question for the field of quantum computing in the near future is whether quantum devices without error correction can perform a well-defined computational task beyond the capabilities of state-of-th

From playlist Adiabatic Quantum Computing Conference 2016

Video thumbnail

Covariance (1 of 17) What is Covariance? in Relation to Variance and Correlation

Visit http://ilectureonline.com for more math and science lectures! To donate:a http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn the difference between the variance and the covariance. A variance (s^2) is a measure of how spread out the numbers of

From playlist COVARIANCE AND VARIANCE

Video thumbnail

Cross Validation

In this video, we learn a hack to increase the size of our training set while still being able to do validation: cross validation. Link to my notes on Introduction to Data Science: https://github.com/knathanieltucker/data-science-foundations Try answering these comprehension questions to

From playlist Introduction to Data Science - Foundations

Video thumbnail

Cross Validation, Neural Nets

We go over ways to implement cross validation, and begin working on neural networks.

From playlist MachineLearning

Video thumbnail

Supervised Contrastive Learning

The cross-entropy loss has been the default in deep learning for the last few years for supervised learning. This paper proposes a new loss, the supervised contrastive loss, and uses it to pre-train the network in a supervised fashion. The resulting model, when fine-tuned to ImageNet, achi

From playlist General Machine Learning

Video thumbnail

Deep Learning 2.0: How Bayesian Optimization May Power the Next Generation of DL by Frank Hutter

A Google TechTalk, presented by Frank Hutter, 2022/6/14 ABSTRACT: BayesOpt TechTalk Series. Deep Learning (DL) has been incredibly successful, due to its ability to automatically acquire useful representations from raw data by a joint optimization process of all layers. However, current DL

From playlist Google BayesOpt Speaker Series 2021-2022

Video thumbnail

Covariance (14 of 17) Covariance Matrix "Normalized" - Correlation Coefficient

Visit http://ilectureonline.com for more math and science lectures! To donate:a http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will find the “normalized” matrix (or the correlation coefficients) from the covariance matrix from the previous video using 3 sa

From playlist COVARIANCE AND VARIANCE

Video thumbnail

Deep Symbolic Regression: Recovering Math Expressions from Data via Risk-Seeking Policy Gradients

The Data Science Institute (DSI) hosted a virtual seminar by Brenden Petersen from Lawrence Livermore National Laboratory on April 22, 2021. Read more about the DSI seminar series at https://data-science.llnl.gov/latest/seminar-series. Discovering the underlying mathematical expressions d

From playlist DSI Virtual Seminar Series

Video thumbnail

Stanford CS224N: NLP with Deep Learning | Winter 2020 | Low Resource Machine Translation

For more information about Stanford’s Artificial Intelligence professional and graduate programs, visit: https://stanford.io/3kypBjI Marc'Aurelio Ranzato, Facebook AI Research https://ranzato.github.io/ Professor Christopher Manning Thomas M. Siebel Professor in Machine Learning, Profess

From playlist Stanford CS224N: Natural Language Processing with Deep Learning Course | Winter 2019

Video thumbnail

NEW: Multiple Training DATASETS to fine-tune your SBERT model in 2022 (SBERT 33)

Python code on how to train multiple training datasets for your specific Sentence Transformer model. Combine Datasets of SNLI with MS MARCO and Reddit for training your SBERT model. Example on COLAB with PyTorch. #datascience #datastructure #dataset #datasets #pytorch #deeplearning

From playlist Training DATASET for fine-tuning Sentence Transformers SBERT Python

Video thumbnail

Clojure Conj 2012 - Clojure Data Science

Clojure Data Science by: Edmund Jackson Data science / big data exists at the overlap of traditional analytics and large scale computation. As such, neither the traditional tools of analytics (R, Mathematica, Matlab) nor mainstreams languages (Java, C++, C#) supply its requirements well a

From playlist Clojure Conf 2012

Video thumbnail

AI Weekly Update - March 15th, 20201 (#28)!

Thank you for watching! Please Subscribe! Content Links: Behavior from the Void: https://arxiv.org/pdf/2103.04551.pdf Barlow Twins: https://arxiv.org/pdf/2103.03230.pdf Pretrained Transformers as Universal Compute Engines: https://arxiv.org/pdf/2103.05247.pdf A New Lens on Understanding G

From playlist AI Research Weekly Updates

Video thumbnail

Markus Reiher - Uncertainty Quantification of Quantum Chemical Methods - IPAM at UCLA

Recorded 06 May 2022. Markus Reiher ETH Zurich presents "Uncertainty Quantification of Quantum Chemical Methods" at IPAM's Large-Scale Certified Numerical Methods in Quantum Mechanics Workshop. Learn more online at: http://www.ipam.ucla.edu/programs/workshops/workshop-iii-large-scale-certi

From playlist 2022 Large-Scale Certified Numerical Methods in Quantum Mechanics

Video thumbnail

Estimate the Correlation Coefficient Given a Scatter Plot

This video explains how to estimate the correlation coefficient given a scatter plot.

From playlist Performing Linear Regression and Correlation

Video thumbnail

VidLanKD

Notion Link: https://ebony-scissor-725.notion.site/Henry-AI-Labs-Weekly-Update-July-15th-2021-a68f599395e3428c878dc74c5f0e1124 Chapters 0:00 Introduction 2:18 Improvements in Video Modeling 6:08 Vokenization 7:31 HowTo100M Data 9:07 Teacher Learning 13:06 Interesting Distillation Ideas 17

From playlist AI Weekly Update - July 15th, 2021!

Related pages

Qubit | Sycamore processor | Quantum circuit | Boson sampling | Quantum supremacy