California is a state in the Western United States, located along the Pacific Coast. With nearly 39.2 million residents across a total area of approximately , it is the most populous U.S. state and the third-largest by area. It is also the most populated subnational entity in North America and the 34th most populous in the world. The Greater Los Angeles and San Francisco Bay areas are the nation's second and fifth most populous urban regions, respectively, with the former having more than 18.7 million residents and the latter having over 9.6 million. Sacramento is the state's capital, while Los Angeles is the most populous city in the state and the second most populous city in the country. San Francisco is the second most densely populated major city in the country. Los Angeles County is the country's most populous, while San Bernardino County is the largest county by area in the country. California borders Oregon to the north, Nevada and Arizona to the east, and the Mexican state of Baja California to the south; it has a coastline along the Pacific Ocean to the west.
California's economy is the largest of any state within the United States, with a 3.37trilliongrossstateproduct(GSP).Itisthelargestsub−nationaleconomyintheworld.IfCaliforniawereasovereignnation,itwouldrankastheworld′sfifth−largesteconomy,behindIndiaandaheadoftheUnitedKingdom,aswellasthe37thmostpopulous.TheGreaterLosAngelesareaandtheSanFranciscoareaarethenation′ssecond−andfourth−largesturbaneconomies(1.0 trillion and 0.6trillionrespectively).TheSanFranciscoBayAreaCombinedStatisticalAreahadthenation′shighestgrossdomesticproductpercapita(106,757) among large primary statistical areas in 2018, and is home to five of the world's ten largest companies by market capitalization and four of the world's ten richest people. Slightly over 84 percent of the state's residents hold a high school degree, the lowest high school education rate of all 50 states.
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The aim of this doctoral course by Nicolas Sangouard is to lay the theoretical groundwork that is needed for students to understand how to take advantage of quantum effects for communication technolog
Information is processed in physical devices. In the quantum regime the concept of classical bit is replaced by the quantum bit. We introduce quantum principles, and then quantum communications, key d
Le contenu de ce cours correspond à celui du cours d'Analyse I, comme il est enseigné pour les étudiantes et les étudiants de l'EPFL pendant leur premier semestre. Chaque chapitre du cours correspond
Concepts de base de l'analyse réelle et introduction aux nombres réels.
The United States of America (U.S.A. or USA), commonly known as the United States (U.S. or US) or America, is a country primarily located in North America and consisting of 50 states, a federal district, five major unincorporated territories, nine Minor Outlying Islands, and 326 Indian reservations. It is the world's third-largest country by both land and total area. It shares land borders with Canada to its north and with Mexico to its south and has maritime borders with the Bahamas, Cuba, Russia, and other nations.
California is a state in the Western United States, located along the Pacific Coast. With nearly 39.2 million residents across a total area of approximately , it is the most populous U.S. state and the third-largest by area. It is also the most populated subnational entity in North America and the 34th most populous in the world. The Greater Los Angeles and San Francisco Bay areas are the nation's second and fifth most populous urban regions, respectively, with the former having more than 18.
Arnold Alois Schwarzenegger (born July 30, 1947) is an Austrian and American actor, businessman, filmmaker, politician, and former professional bodybuilder best known for his roles in high-profile action movies. He served as the 38th governor of California from 2003 to 2011 and was among Time magazine's 100 most influential people in the world in 2004 and 2007. Schwarzenegger began lifting weights at age 15 and won the Mr. Universe title aged 20, and subsequently the Mr. Olympia title seven times.
Delves into quantum entanglement, exploring entangled particles' state, evolution, and measurement.
Explores quantum entanglement, Bell inequalities, and self-testing in quantum systems.
Explores the general description of quantum measurements, including post-measurement states and Kraus operators.