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Pittsburgh Quantum Institute
The Pittsburgh Quantum Institute (PQI) is a multidisciplinary research institute that focuses on quantum sciences and engineering in the Pittsburgh region. It is a research-intensive cluster. The Pittsburgh Quantum Institute (PQI) was founded in 2012 with the mission “to help unify and promote quantum science and engineering in Pittsburgh”. With financial support from the Dietrich School of Arts and Sciences at the University of Pittsburgh, PQI provides leadership throughout Pittsburgh in areas that impact the “second quantum revolution”. PQI members have faculty appointments from Duquesne University, Carnegie Mellon University, and the University of Pittsburgh in physics, chemistry, and engineering disciplines. The Pittsburgh Quantum Institute currently consists of 100 professors and their groups, a number that keeps growing every year with faculty appointments in the various departments of the member institutions. PQI sponsors and organizes research seminars, panel d ...
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Pittsburgh
Pittsburgh ( ) is a city in the Commonwealth (U.S. state), Commonwealth of Pennsylvania, United States, and the county seat of Allegheny County, Pennsylvania, Allegheny County. It is the most populous city in both Allegheny County and Western Pennsylvania, the List of municipalities in Pennsylvania#Municipalities, second-most populous city in Pennsylvania behind Philadelphia, and the List of United States cities by population, 68th-largest city in the U.S. with a population of 302,971 as of the 2020 United States census, 2020 census. The city anchors the Pittsburgh metropolitan area of Western Pennsylvania; its population of 2.37 million is the largest in both the Ohio Valley and Appalachia, the Pennsylvania metropolitan areas, second-largest in Pennsylvania, and the List of metropolitan statistical areas, 27th-largest in the U.S. It is the principal city of the greater Pittsburgh–New Castle–Weirton combined statistical area that extends into Ohio and West Virginia. Pitts ...
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Pennsylvania
Pennsylvania (; (Pennsylvania Dutch: )), officially the Commonwealth of Pennsylvania, is a state spanning the Mid-Atlantic, Northeastern, Appalachian, and Great Lakes regions of the United States. It borders Delaware to its southeast, Maryland to its south, West Virginia to its southwest, Ohio to its west, Lake Erie and the Canadian province of Ontario to its northwest, New York to its north, and the Delaware River and New Jersey to its east. Pennsylvania is the List of U.S. states and territories by population, fifth-most populous state in the nation with over 13 million residents 2020 United States census, as of 2020. It is the List of U.S. states and territories by area, 33rd-largest state by area and ranks List of states and territories of the United States by population density, ninth among all states in population density. The southeastern Delaware Valley metropolitan area comprises and surrounds Philadelphia, the state's List of cities in Pennsylvania, largest ...
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Pittsburgh, PA
Pittsburgh ( ) is a city in the Commonwealth (U.S. state), Commonwealth of Pennsylvania, United States, and the county seat of Allegheny County, Pennsylvania, Allegheny County. It is the most populous city in both Allegheny County and Western Pennsylvania, the List of municipalities in Pennsylvania#Municipalities, second-most populous city in Pennsylvania behind Philadelphia, and the List of United States cities by population, 68th-largest city in the U.S. with a population of 302,971 as of the 2020 United States census, 2020 census. The city anchors the Pittsburgh metropolitan area of Western Pennsylvania; its population of 2.37 million is the largest in both the Ohio Valley and Appalachia, the Pennsylvania metropolitan areas, second-largest in Pennsylvania, and the List of metropolitan statistical areas, 27th-largest in the U.S. It is the principal city of the greater Pittsburgh–New Castle–Weirton combined statistical area that extends into Ohio and West Virginia. Pitts ...
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Research-intensive Cluster
Research-intensive clusters (RICs) are regions with a high density of research-oriented organizations. These regions may be informally designated, or may be represented by a formal association. Member organizations are often universities, businesses, and non-profit research institutes. Closely related concepts include research associations (in general), research parks, technology clusters, and economic clusters. RICs differ from generic research associations in that the member organizations ''must'' be geographically close to one another. RICs differ from research parks in that the member organizations are in separate locations within a geographical region, and are not sharing the same ''exact'' location. RICs differ from technology and economic clusters because they focus on more research rather than on economic development ''per se'', though for-profit businesses may certainly be members of both types of groups. Other similar concepts include technology alliances and busin ...
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Duquesne University
Duquesne University of the Holy Spirit ( or ; Duquesne University or Duquesne) is a private Catholic research university in Pittsburgh, Pennsylvania. Founded by members of the Congregation of the Holy Spirit, Duquesne first opened as the Pittsburgh Catholic College of the Holy Ghost in October 1878 with an enrollment of 40 students and a faculty of six. In 1911, the college became the first Catholic university-level institution in Pennsylvania. It is the only Spiritan institution of higher education in the world. It is named for an 18th-century governor of New France, Michel-Ange Duquesne de Menneville. Duquesne has since expanded to over 9,300 graduate and undergraduate students within a self-contained hilltop campus in Pittsburgh's Bluff neighborhood. The school maintains an associate campus in Rome and encompasses ten schools of study. The university hosts international students from more than 80 countries although most students—about 80%—are from Pennsylvania or the ...
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Carnegie Mellon University
Carnegie Mellon University (CMU) is a private research university in Pittsburgh, Pennsylvania. One of its predecessors was established in 1900 by Andrew Carnegie as the Carnegie Technical Schools; it became the Carnegie Institute of Technology in 1912 and began granting four-year degrees in the same year. In 1967, the Carnegie Institute of Technology merged with the Mellon Institute of Industrial Research, founded in 1913 by Andrew Mellon and Richard B. Mellon and formerly a part of the University of Pittsburgh. Carnegie Mellon University has operated as a single institution since the merger. The university consists of seven colleges and independent schools: The College of Engineering, College of Fine Arts, Dietrich College of Humanities and Social Sciences, Mellon College of Science, Tepper School of Business, Heinz College of Information Systems and Public Policy, and the School of Computer Science. The university has its main campus located 5 miles (8 km) from D ...
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University Of Pittsburgh
The University of Pittsburgh (Pitt) is a public state-related research university in Pittsburgh, Pennsylvania. The university is composed of 17 undergraduate and graduate schools and colleges at its urban Pittsburgh campus, home to the university's central administration and around 28,000 undergraduate and graduate students. The 132-acre Pittsburgh campus includes various historic buildings that are part of the Schenley Farms Historic District, most notably its 42-story Gothic revival centerpiece, the Cathedral of Learning. Pitt is a member of the Association of American Universities and is classified among "R1: Doctoral Universities – Very high research activity". It is the second-largest non-government employer in the Pittsburgh metropolitan area. Pitt traces its roots to the Pittsburgh Academy founded by Hugh Henry Brackenridge in 1787. While the city was still on the edge of the American frontier at the time, Pittsburgh's rapid growth meant that a proper university ...
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Thaw Hall
Thaw Hall is a historic academic building on the campus of the University of Pittsburgh that is a contributing property to the Schenley Farms National Historic District and has been named a Pittsburgh History and Landmarks Foundation Historic Landmark. The five story building of stone, brick, and terra cotta was completed in 1910 in the Neoclassical Beaux-Arts style by architect Henry Hornbostel and today serves as space for a variety of academic classrooms, labs, offices, and centers. It is located between, and connected to, the university's Old Engineering Hall and Space Research Coordination Center (SRCC) along O'Hara Street in the Oakland neighborhood of Pittsburgh. History and use The design for Thaw Hall came from Henry Hornbostel's winning submission, termed the "Acropolis Plan", for a 1907 national competition to design a new campus for the University of Pittsburgh which was moving from its Observatory Hill campus to its current location in the Oakland section of Pittsb ...
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University Of Strathclyde
The University of Strathclyde ( gd, Oilthigh Shrath Chluaidh) is a public research university located in Glasgow, Scotland. Founded in 1796 as the Andersonian Institute, it is Glasgow's second-oldest university, having received its royal charter in 1964 as the first technological university in the United Kingdom. Taking its name from the historic Kingdom of Strathclyde, it is Scotland's third-largest university by number of students, with students and staff from over 100 countries. The institution was named University of the Year 2012 by Times Higher Education and again in 2019, becoming the first university to receive this award twice. The annual income of the institution for 2019–20 was £334.8 million of which £81.2 million was from research grants and contracts, with an expenditure of £298.8 million.. History The university was founded in 1796 through the will of John Anderson, professor of Natural Philosophy at the University of Glasgow, who ...
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Bra–ket Notation
In quantum mechanics, bra–ket notation, or Dirac notation, is used ubiquitously to denote quantum states. The notation uses angle brackets, and , and a vertical bar , to construct "bras" and "kets". A ket is of the form , v \rangle. Mathematically it denotes a vector, \boldsymbol v, in an abstract (complex) vector space V, and physically it represents a state of some quantum system. A bra is of the form \langle f, . Mathematically it denotes a linear form f:V \to \Complex, i.e. a linear map that maps each vector in V to a number in the complex plane \Complex. Letting the linear functional \langle f, act on a vector , v\rangle is written as \langle f , v\rangle \in \Complex. Assume that on V there exists an inner product (\cdot,\cdot) with antilinear first argument, which makes V an inner product space. Then with this inner product each vector \boldsymbol \phi \equiv , \phi\rangle can be identified with a corresponding linear form, by placing the vector in the anti-l ...
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Organizations Established In 2012
An organization or organisation (Commonwealth English; see spelling differences), is an entity—such as a company, an institution, or an association—comprising one or more people and having a particular purpose. The word is derived from the Greek word ''organon'', which means tool or instrument, musical instrument, and organ. Types There are a variety of legal types of organizations, including corporations, governments, non-governmental organizations, political organizations, international organizations, armed forces, charities, not-for-profit corporations, partnerships, cooperatives, and educational institutions, etc. A hybrid organization is a body that operates in both the public sector and the private sector simultaneously, fulfilling public duties and developing commercial market activities. A voluntary association is an organization consisting of volunteers. Such organizations may be able to operate without legal formalities, depending on jurisdiction, in ...
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