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Mark Wilde
Mark McMahon Wilde is an American quantum information scientist. He is an Associate Professor in the School of Electrical and Computer Engineering at Cornell University, and he is also a Fields Member in the School of Applied and Engineering Physics and the Department of Computer Science at Cornell. Wilde's research spans quantum information theory (including communication trade-offs, quantum rate-distortion), network quantum information, quantum error correction, quantum optical communication, quantum computational complexity, and quantum entropy inequalities. His research results on quantum entropy inequalities, time travel and quantum cloning, trade-offs in quantum communication, and quantum entanglement measures have been communicated in popular science media. He has written or coauthored two textbooks on quantum information theory. The first textbook utilizes the von Neumann entropy and its variants and the notion of typical subspace to present the capacities of q ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quantum Information
Quantum information is the information of the state of a quantum system. It is the basic entity of study in quantum information theory, and can be manipulated using quantum information processing techniques. Quantum information refers to both the technical definition in terms of Von Neumann entropy and the general computational term. It is an interdisciplinary field that involves quantum mechanics, computer science, information theory, philosophy and cryptography among other fields. Its study is also relevant to disciplines such as cognitive science, psychology and neuroscience. Its main focus is in extracting information from matter at the microscopic scale. Observation in science is one of the most important ways of acquiring information and measurement is required in order to quantify the observation, making this crucial to the scientific method. In quantum mechanics, due to the uncertainty principle, non-commuting observables cannot be precisely measured simultaneously, as ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Electrical Engineering
Electrical engineering is an engineering discipline concerned with the study, design, and application of equipment, devices, and systems which use electricity, electronics, and electromagnetism. It emerged as an identifiable occupation in the latter half of the 19th century after commercialization of the electric telegraph, the telephone, and electrical power generation, distribution, and use. Electrical engineering is now divided into a wide range of different fields, including computer engineering, systems engineering, power engineering, telecommunications, radio-frequency engineering, signal processing, instrumentation, photovoltaic cells, electronics, and optics and photonics. Many of these disciplines overlap with other engineering branches, spanning a huge number of specializations including hardware engineering, power electronics, electromagnetics and waves, microwave engineering, nanotechnology, electrochemistry, renewable energies, mechatronics/control, and electrical m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Computer Engineering
Computer engineering (CoE or CpE) is a branch of electrical engineering and computer science that integrates several fields of computer science and electronic engineering required to develop computer hardware and software. Computer engineers not only require training in electronic engineering, software design, and hardware-software integration, but also in software engineering. It uses the techniques and principles of electrical engineering and computer science, but also covers areas such as artificial intelligence (AI), robotics, computer networks, computer architecture and operating systems. Computer engineers are involved in many hardware and software aspects of computing, from the design of individual microcontrollers, microprocessors, personal computers, and supercomputers, to circuit design. This field of engineering not only focuses on how computer systems themselves work, yet it also demands them to integrate into the larger picture. Robots are one of the applicatio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
New Orleans
New Orleans ( , ,New Orleans Merriam-Webster. ; french: La Nouvelle-Orléans , es, Nueva Orleans) is a Consolidated city-county, consolidated city-parish located along the Mississippi River in the southeastern region of the U.S. state of Louisiana. With a population of 383,997 according to the 2020 U.S. census, it is the List of municipalities in Louisiana, most populous city in Louisiana and the twelfth-most populous city in the southeastern United States. Serving as a List of ports in the United States, major port, New Orleans is considered an economic and commercial hub for the broader Gulf Coast of the United States, Gulf Coast region of the United States. New Orleans is world-renowned for its Music of New Orleans, distinctive music, Louisiana Creole cuisine, Creole cuisine, New Orleans English, uniq ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jesuit High School (New Orleans)
Jesuit High School is a private, non-profit, Catholic college-preparatory high school (grades 8–12) for boys run by the USA Central and Southern Province of the Society of Jesus in Mid-City New Orleans Louisiana. The school was founded in 1847 by the Jesuits and serves students of all religious faiths. Mission and Philosophy The mission of Jesuit High School as a Catholic, college preparatory school is to develop its students the competence, conscience, and compassion that will enable them to be men of faith and men for others. The Jesuit approach to education is based on nearly five hundred years of tradition beginning with St. Ignatius Loyola, who founded the Society of Jesus (“the Jesuits”) in 1540. It begins with a focus on students and their potential, a principle the Jesuits call ''cura personalis''. The school encourages personal excellence in all aspects of life—intellectual, emotional, moral, and physical. This principle is often called ''magis'', meaning "mo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quantum Entanglement
Quantum entanglement is the phenomenon that occurs when a group of particles are generated, interact, or share spatial proximity in a way such that the quantum state of each particle of the group cannot be described independently of the state of the others, including when the particles are separated by a large distance. The topic of quantum entanglement is at the heart of the disparity between classical and quantum physics: entanglement is a primary feature of quantum mechanics not present in classical mechanics. Measurements of physical properties such as position, momentum, spin, and polarization performed on entangled particles can, in some cases, be found to be perfectly correlated. For example, if a pair of entangled particles is generated such that their total spin is known to be zero, and one particle is found to have clockwise spin on a first axis, then the spin of the other particle, measured on the same axis, is found to be anticlockwise. However, this behavior gives ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Generalized Relative Entropy
Generalized relative entropy (\epsilon-relative entropy) is a measure of dissimilarity between two quantum states. It is a "one-shot" analogue of quantum relative entropy and shares many properties of the latter quantity. In the study of quantum information theory, we typically assume that information processing tasks are repeated multiple times, independently. The corresponding information-theoretic notions are therefore defined in the asymptotic limit. The quintessential entropy measure, von Neumann entropy, is one such notion. In contrast, the study of one-shot quantum information theory is concerned with information processing when a task is conducted only once. New entropic measures emerge in this scenario, as traditional notions cease to give a precise characterization of resource requirements. \epsilon-relative entropy is one such particularly interesting measure. In the asymptotic scenario, relative entropy acts as a parent quantity for other measures besides being an import ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rényi Entropy
In information theory, the Rényi entropy is a quantity that generalizes various notions of entropy, including Hartley entropy, Shannon entropy, collision entropy, and min-entropy. The Rényi entropy is named after Alfréd Rényi, who looked for the most general way to quantify information while preserving additivity for independent events. In the context of fractal dimension estimation, the Rényi entropy forms the basis of the concept of generalized dimensions. The Rényi entropy is important in ecology and statistics as index of diversity. The Rényi entropy is also important in quantum information, where it can be used as a measure of entanglement. In the Heisenberg XY spin chain model, the Rényi entropy as a function of can be calculated explicitly because it is an automorphic function with respect to a particular subgroup of the modular group. In theoretical computer science, the min-entropy is used in the context of randomness extractors. Definition The Rényi entro ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quantum Channel
In quantum information theory, a quantum channel is a communication channel which can transmit quantum information, as well as classical information. An example of quantum information is the state of a qubit. An example of classical information is a text document transmitted over the Internet. More formally, quantum channels are completely positive (CP) trace-preserving maps between spaces of operators. In other words, a quantum channel is just a quantum operation viewed not merely as the reduced dynamics of a system but as a pipeline intended to carry quantum information. (Some authors use the term "quantum operation" to also include trace-decreasing maps while reserving "quantum channel" for strictly trace-preserving maps.) Memoryless quantum channel We will assume for the moment that all state spaces of the systems considered, classical or quantum, are finite-dimensional. The memoryless in the section title carries the same meaning as in classical information theory: the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Typical Subspace
In quantum information theory, the idea of a typical subspace plays an important role in the proofs of many coding theorems (the most prominent example being Schumacher compression). Its role is analogous to that of the typical set in classical information theory. Unconditional quantum typicality Consider a density operator \rho with the following spectral decomposition: : \rho=\sum_p_( x) \vert x\rangle \langle x\vert . The weakly typical subspace is defined as the span of all vectors such that the sample entropy \overline( x^) of their classical label is close to the true entropy H( X) of the distribution p_( x) : : T_^\equiv\text\left\ , where : \overline( x^) \equiv-\frac\log( p_( x^) ) , :H( X) \equiv-\sum_p_( x) \log p_( x) . The projector \Pi_^ onto the typical subspace of \rho is defined as : \Pi_^\equiv\sum_\vert x^\rangle \langle x^\vert , where we have "overloaded" the symbol T_^ to refer also to the set of \delta-typical sequences: : T ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Von Neumann Entropy
In physics, the von Neumann entropy, named after John von Neumann, is an extension of the concept of Gibbs entropy from classical statistical mechanics to quantum statistical mechanics. For a quantum-mechanical system described by a density matrix , the von Neumann entropy is : S = - \operatorname(\rho \ln \rho), where \operatorname denotes the trace and ln denotes the (natural) matrix logarithm. If is written in terms of its eigenvectors , 1\rangle, , 2\rangle, , 3\rangle, \dots as : \rho = \sum_j \eta_j \left, j \right\rang \left\lang j \ , then the von Neumann entropy is merely : S = -\sum_j \eta_j \ln \eta_j . In this form, ''S'' can be seen as the information theoretic Shannon entropy. The von Neumann entropy is also used in different forms ( conditional entropies, relative entropies, etc.) in the framework of quantum information theory to characterize the entropy of entanglement. Background John von Neumann established a rigorous mathematical framework for quantum me ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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