Relevant bibliographies by topics / Entanglement Transformations

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Entanglement Transformations'

Author: Grafiati
Published: 4 June 2021
Last updated: 10 February 2022

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Journal articles on the topic "Entanglement Transformations"

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Alsing, P. M., and G. Milburn. "Lorentz Invariance of Entanglement." Quantum Information and Computation 2, no. 6 (2002): 487–512. http://dx.doi.org/10.26421/qic2.6-4.

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We study the transformation of maximally entangled states under the action of Lorentz transformations in a fully relativistic setting. By explicit calculation of the Wigner rotation, we describe the relativistic analog of the Bell states as viewed from two inertial frames moving with constant velocity with respect to each other. Though the finite dimensional matrices describing the Lorentz transformations are non-unitary, each single particle state of the entangled pair undergoes an effective, momentum dependent, local unitary rotation, thereby preserving the entanglement fidelity of the bipar
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Sahin, Serkan, Kai Phillip Schmidt, and Román Orús. "Entanglement continuous unitary transformations." EPL (Europhysics Letters) 117, no. 2 (2017): 20002. http://dx.doi.org/10.1209/0295-5075/117/20002.

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Giedke, G., J. Eisert, J. I. Cirac, and M. B. Plenio. "Entanglement transformations of pure Gaussian states." Quantum Information and Computation 3, no. 3 (2003): 211–33. http://dx.doi.org/10.26421/qic3.3-3.

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We present a theory of entanglement transformations of Gaussian pure states with local Gaussian operations and classical communication. This is the experimentally accessible set of operations that can be realized with optical elements such as beam splitters, phase shifts and squeezers, together with homodyne measurements. We provide a simple necessary and sufficient condition for the possibility to transform a pure bipartite Gaussian state into another one. We contrast our criterion with what is possible if general local operations are available.
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Caban, P., K. Podlaski, J. Rembieliński, K. A. Smoliński, and Z. Walczak. "Bogoliubov Transformations and Entanglement of Two Fermions." Old and New Concepts of Physics 4, no. 3 (2007): 389–98. http://dx.doi.org/10.2478/v10005-007-0017-8.

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Nielsen, M. A. "Conditions for a Class of Entanglement Transformations." Physical Review Letters 83, no. 2 (1999): 436–39. http://dx.doi.org/10.1103/physrevlett.83.436.

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Linden, N., S. Popescu, B. Schumacher, and M. Westmoreland. "Reversibility of Local Transformations of Multiparticle Entanglement." Quantum Information Processing 4, no. 3 (2005): 241–50. http://dx.doi.org/10.1007/s11128-005-4608-0.

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Harshman, N. L., and S. Wickramasekara. "Tensor Product Structures, Entanglement, and Particle Scattering." Open Systems & Information Dynamics 14, no. 03 (2007): 341–51. http://dx.doi.org/10.1007/s11080-007-9057-z.

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Particle systems admit a variety of tensor product structures (TPSs) depending on the complete system of commuting observables chosen for the analysis. Different notions of entanglement are associated with these different TPSs. Global symmetry transformations and dynamical transformations factor into products of local unitary operators with respect to certain TPSs and not with respect to others. Symmetry-invariant and dynamical-invariant TPSs and corresponding measures of entanglement are defined for particle scattering systems.
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CHIRIBELLA, GIULIO, GIACOMO MAURO D'ARIANO, PAOLO PERINOTTI, and MASSIMILIANO F. SACCHI. "MAXIMUM LIKELIHOOD ESTIMATION FOR A GROUP OF PHYSICAL TRANSFORMATIONS." International Journal of Quantum Information 04, no. 03 (2006): 453–72. http://dx.doi.org/10.1142/s0219749906002018.

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The maximum likelihood strategy for the estimation of group parameters allows one to derive in a general fashion optimal measurements, optimal signal states, and their relations with other information theoretical quantities. These results provide deep insight into the general structure underlying optimal quantum estimation strategies. The entanglement between representation spaces and multiplicity spaces of the group action appears to be the unique kind of entanglement which is really useful for the optimal estimation of group parameters.
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JAFARIZADEH, M. A., and M. MAHDIAN. "SPIN–MOMENTUM CORRELATION IN RELATIVISTIC SINGLE-PARTICLE QUANTUM STATES." International Journal of Quantum Information 08, no. 03 (2010): 517–28. http://dx.doi.org/10.1142/s0219749910006125.

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This paper is concerned with the spin–momentum correlation in single-particle quantum states, which is described by the mixed states under Lorentz transformations. For convenience, instead of using the superposition of momenta we use only two momentum eigenstates (p1 and p2) that are perpendicular to the Lorentz boost direction. Consequently, in 2D momentum subspace we show that the entanglement of spin and momentum in the moving frame depends on the angle between them. Therefore, when spin and momentum are perpendicular the measure of entanglement is not an observer-dependent quantity in the
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KOK, PIETER, and SAMUEL L. BRAUNSTEIN. "RELATIVISTIC QUANTUM INFORMATION PROCESSING WITH BOSONIC AND FERMIONIC INTERFEROMETERS." International Journal of Quantum Information 04, no. 01 (2006): 119–30. http://dx.doi.org/10.1142/s0219749906001736.

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We derive the relativistic transformation laws for the annihilation operators of the scalar field, the massive spin-1 vector field, the electromagnetic field and the spinor field. The technique developed here involves straightforward mathematical techniques based on fundamental quantum field theory, and is applicable to the study of entanglement in arbitrary coordinate transformations. In particular, it predicts particle creation for non-inertial motion. Furthermore, we present a unified description of relativistic transformations and multi-particle interferometry with bosons and fermions, whi
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Dissertations / Theses on the topic "Entanglement Transformations"

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Kintas, Seckin. "Entanglement Transformations." Master's thesis, METU, 2009. http://etd.lib.metu.edu.tr/upload/3/12611363/index.pdf.

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Entanglement is a special correlation of the quantum states of two or more particles. It is also a useful resource enabling us to complete tasks that cannot be done by classical means. As a result, the transformation of entangled states of distant particles by local means arose as an important problem in quantum information theory. In this thesis, we first review some of the studies done on the entanglement transformations. We also develop the necessary and sufficient conditions for the deterministic transformation of W-type states.
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Gul, Yusuf. "Entanglement Transformations And Quantum Error Correction." Phd thesis, METU, 2008. http://etd.lib.metu.edu.tr/upload/2/12610773/index.pdf.

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The main subject of this thesis is the investigation of the transformations of pure multipartite entangled states having Schmidt rank 2 by using only local operations assisted with classical communications (LOCC). A new parameterization is used for describing the entangled state of p particles distributed to p distant, spatially separated persons. Product, bipartite and truly multipartite states are identified in this new parametrization. Moreover, alternative parameterizations of local operations carried out by each party are provided. For the case of a deterministic transformation to a truly
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Xiao, Jiayang. "Investigating Entanglement Transformations in Three-qubit States." OpenSIUC, 2015. https://opensiuc.lib.siu.edu/theses/1752.

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This thesis studies the manipulation of entanglement in three-qubit quantum systems. I consider the operational setting in which the qubits are distributed to three spatially separated parties. The parties act locally on their quantum systems and share classical communication with one another, a scenario commonly called local operations and classical communication (LOCC). In the LOCC setting, there are two different classes of entanglement in multipartite systems, called the GHZ and W classes, which are inequivalent in the sense that states from one class cannot be transformed into the othe
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Wang, Lina. "Symplectic transformations and entanglement in finite quantum systems." Thesis, University of Bradford, 2009. http://hdl.handle.net/10454/3344.

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Quantum systems with finite Hilbert space are considered. Position and mo- mentum states and their relation through a Fourier transform, displacement in the position-momentum phase-space, and symplectic transformations are introduced and their properties are studied. Symplectic Sp(2l;Zp) trans- formations in l-partite finite system are explicit constructed. The general method is applied to bi-partite and tri-partite systems. The effect of these transformations on the correlations is discussed. Entanglement calculations between the subsystems in a bi-partite system and a tri-partite system are
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Alkus, Umit. "Transformations Of Entangled Mixed States Of Two Qubits." Master's thesis, METU, 2013. http://etd.lib.metu.edu.tr/upload/12615416/index.pdf.

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In this thesis, the entangled mixed states of two qubits are considered. In the case where the matrix rank of the corresponding density matrix is 2, such a state can be purified to a pure state of 3 qubits. By utilizing this representation, the classification of such states of two qubits by stochastic local operations assisted by classical communication (SLOCC) is obtained. Also for such states, the optimal ensemble that appears in the computation of the concurrence and entanglement of formation is obtained.
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Hines, Andrew Peter. "Entanglement, dynamical bifurcations and quantum phase transitions /." [St. Lucia, Qld.], 2005. http://www.library.uq.edu.au/pdfserve.php?image=thesisabs/absthe19792.pdf.

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Gagatsos, Christos. "Gaussian deterministic and probabilistic transformations of bosonic quantum fields: squeezing and entanglement generation." Doctoral thesis, Universite Libre de Bruxelles, 2014. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/209146.

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The processing of information based on the generation of common quantum optical states (e.g. coherent states) and the measurement of the quadrature components of the light field (e.g. homodyne detection) is often referred to as continuous-variable quantum information processing. It is a very fertile field of investigation, at a crossroads between quantum optics and information theory, with notable successes such as unconditional continuous-variable quantum teleportation or Gaussian quantum key distribution. In quantum optics, the states of the light field are conveniently characterized using a
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Yakaboylu, Enderalp. "Entanglement In The Relativistic Quantum Mechanics." Master's thesis, METU, 2010. http://etd.lib.metu.edu.tr/upload/12611487/index.pdf.

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In this thesis, entanglement under fully relativistic settings are discussed. The thesis starts with a brief review of the relativistic quantum mechanics. In order to describe the effects of Lorentz transformations on the entangled states, quantum mechanics and special relativity are merged by construction of the unitary irreducible representations of Poincar&eacute<br>group on the infinite dimensional Hilbert space of state vectors. In this framework, the issue of finding the unitary irreducible representations of Poincar&eacute<br>group is reduced to that of the little group. Wigner rotation
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RedCorn, Sean Alexander. "Set the prairie on fire: an autoethnographic confrontation of colonial entanglements." Diss., Kansas State University, 2017. http://hdl.handle.net/2097/36214.

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Doctor of Education<br>Department of Educational Leadership<br>Kakali Bhattacharya<br>There is minimal scholarship related to modern Osage perspectives in the field of education. Yet, the pursuit of cultural healing relies on self-representation to move Osages toward a higher degree of self-determination, and calls for voices within the community who share zones of cultural and professional intersectionality. Using Red Pedagogy (Grande, 2008) and traditional Osage ribbon work (Dennison, 2012, 2013) as a framework, this critical Indigenous autoethnographic inquiry works to advance conversations
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Anderson, Charles Nicholas, and charles anderson@rmit edu au. "Ephemeral Architectures: towards a process architecture." RMIT University. Architecture and Design, 2009. http://adt.lib.rmit.edu.au/adt/public/adt-VIT20091104.143239.

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This PhD responds to a two fold problem with the philosophy of design and the practice of design. The philosophical problem is stated as the discrepancy between a dominant philosophical framework that orders the world according to eternal essences and the actual conditions of the world in which we exist: the conditions of becoming and of flux. Commencing with a critique of the western metaphysical tradition of statics this research project proposes that we need to find a way of describing an evolutionary model of practice, and by so doing to provide a revitalised narration of process. Con
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Books on the topic "Entanglement Transformations"

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Quadri, Junaid. Transformations of Tradition. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780190077044.001.0001.

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This book is a study of the Muslim world’s entanglement with colonial modernity. More specifically, it is an historical examination of the development of the long-standing, indigenous tradition of learning and praxis known as Islamic law (shariʿa, fiqh) as a result of its imbalanced interaction with new European modes of knowing during, and in the immediate aftermath of, the colonial experience. Drawing upon the writings of jurist-scholars from the Ḥanafī school of law writing in Cairo, Kazan, Lucknow, Baghdad, and Istanbul, Transformations of Tradition reveals several central shifts in Islami
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Ladwig, Patrice. Contemporary Lao Buddhism. Edited by Michael Jerryson. Oxford University Press, 2016. http://dx.doi.org/10.1093/oxfordhb/9780199362387.013.31.

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Lao Buddhism’s histories are deeply fragmented. Most Lao were deported to Siam in the nineteenth century, and after the demise of the French colonial regime, the country was drawn into the Second Indochina War. After two decades of brutal warfare and massive destructions, the Lao communist movement took power in 1975. This chapter examines the history of Lao Buddhism in the context of these events, and puts its main focus on the entanglement of religion and politics in the postcolonial phase, as the political polarization of the Lao sangha during the Cold War and the impact of the subsequent r
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Eisner, Martin. Dante's New Life of the Book. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198869634.001.0001.

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This study uses the material transmission history of Dante’s innovative first book, the Vita nuova (New Life), to intervene in recent debates about literary history, reconceiving the relationship between the work and its reception, and investigating how different material manifestations and transformations in manuscripts, printed books, translations, and adaptations participate in the work. Just as Dante frames his collection of thirty-one poems surrounded by prose narrative and commentary as an attempt to understand his own experiences through the experimental form of the book, so later scrib
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Blomster, Jeffrey P. Mesoamerica—Highland Formative (Early to Middle Formative) Figurines. Edited by Timothy Insoll. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199675616.013.013.

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Figurines are ubiquitous during the Early to Middle Formative (1400–500 bc) throughout the Mesoamerican highlands. As materializations of embodiment, figurines represent productions and performances of cultural practices. Two theses are pursued in this chapter: synchronic juxtapositions in figurine style evince strategies and negotiations of social actors, referencing identity, gender, social norms, affiliation, status and rank, and/or ethnicity, while diachronic changes in figurine frequency and style may reflect larger societal processes. Through comparisons of excavated Early and Middle For
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Gilbert, Andrew C. International Intervention and the Problem of Legitimacy. Cornell University Press, 2020. http://dx.doi.org/10.7591/cornell/9781501750267.001.0001.

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This book argues for an ethnographic analysis of international intervention as a series of encounters, focusing on the relations of difference and inequality, and the question of legitimacy that permeate such encounters. The book discusses the transformations that happen in everyday engagements between intervention agents and their target populations, and also identifies key instabilities that emerge out of such engagements. It highlights the struggles, entanglements and inter-dependencies between and among foreign agents, and the people of Bosnia-Herzegovina that channel and shape interventio
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Urbansky, Sören. Beyond the Steppe Frontier. Princeton University Press, 2020. http://dx.doi.org/10.23943/princeton/9780691181684.001.0001.

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The Sino-Russian border, once the world's longest land border, has received scant attention in histories about the margins of empires. This book rectifies this by exploring the demarcation's remarkable transformation—from a vaguely marked frontier in the seventeenth century to its twentieth-century incarnation as a tightly patrolled barrier girded by watchtowers, barbed wire, and border guards. The book explores the daily life of communities and their entanglements with transnational and global flows of people, commodities, and ideas. It challenges top-down interpretations by stressing the sig
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Levy, Michelle. Literary Manuscript Culture in Romantic Britain. Edinburgh University Press, 2020. http://dx.doi.org/10.3366/edinburgh/9781474457064.001.0001.

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Although we have more literary manuscripts from the Romantic period than for any previous period, these manuscripts have been consulted chiefly for the textual evidence they provide. This book begins the work of unearthing the alternative histories manuscripts tell us about British Romantic literary culture: describing the practices by which they were written, shared, altered and preserved; exploring the functions they served as instruments of expression and sociability; and explicating the migration of texts between the copying technologies of script and print. Deploying a range of methodolog
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Book chapters on the topic "Entanglement Transformations"

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Zeng, Bei, Xie Chen, Duan-Lu Zhou, and Xiao-Gang Wen. "Local Transformations and Long-Range Entanglement." In Quantum Information Meets Quantum Matter. Springer New York, 2019. http://dx.doi.org/10.1007/978-1-4939-9084-9_7.

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Feng, Jiali. "Entanglement of Inner Product, Topos Induced by Opposition and Transformation of Contradiction, and Tensor Flow." In IFIP Advances in Information and Communication Technology. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-68121-4_3.

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Riley, Peter. "Whitman and the Transformations of Labor." In Whitman, Melville, Crane, and the Labors of American Poetry. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198836254.003.0002.

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This chapter examines Whitman’s entanglement within the broader politics of labor relations in the mid-nineteenth century. Whitman is seen as thinking through an alternative figuration of Marx’s labor theory of value, with the various corporeal metaphors and formal experiments in his poetry serving as a counterpart to Marx’s gothic dystopian depictions of alienated labor. The laboring body becomes a conceptual balm in Whitman’s poetic imaginary, informing the dimensions of his alternative social vision. His own complicity in the fluctuating tensions of his laboring environment, embodied chiefly by the rising tensions between slavery and the expanding market, rescued his poetic vision from restating the reactionary vocational essentialisms that defined the popular labor movements of the 1850s. Ultimately, he articulated a politically subversive poetics that resisted contemporary fictions of racial purity, and along with it any transparent notion of free market exchange.
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Rau, Jochen. "Probability in Hilbert Space." In Quantum Theory. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780192896308.003.0003.

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This chapter introduces the mathematical framework, basic rules, and some key results of quantum theory. After a succinct overview of linear algebra and an introduction to complex Hilbert space, it investigates the correspondence between subspaces of Hilbert space and propositions, their logical structure, and how the pertinent probabilities are calculated. It discusses the mathematical representation of states, observables, and transformations, as well as the rules for calculating expectation values and uncertainties, and for updating states after a measurement. Particular attention is paid to two-level systems, or ‘qubits’, and the connection is made with experimental evidence about binary measurements. The properties of composite systems are discussed in detail, notably the phenomenon of entanglement. The chapter concludes with an investigation of conceptual issues regarding realism, non-contextuality, and locality, as well as the classical limit.
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"Self-Knowledge and Self-Transformation." In Urban Planning’s Philosophical Entanglements. Routledge, 2017. http://dx.doi.org/10.4324/9781315309217-8.

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Weinrich, Ines. "‘Nashīd’ Between Islamic Chanting And Jihadi Hymns: Continuities and Transformations." In Jihadi Audiovisuality and its Entanglements. Edinburgh University Press, 2020. http://dx.doi.org/10.3366/edinburgh/9781474467513.003.0011.

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Nashīd in its English spelling nasheed and mediatised on the internet is a relatively new phenomenon. Nashīd as a musical practice, by contrast, is old. This chapter analyses nashīd as both a technical term and as a vocal genre. Today, the term nashīd may denote quite different sonic manifestations, ranging from traditional praise songs to the prophet Muḥammad and prayers to religious pop songs and military marches. The chapter focuses on the developments since the early twentieth century and examines the musical roots and styles of the different types of nashīd that are known today. It offers a brief glimpse into traditional practices of nashīd (i.e. inshād) and suggests a categorisation for the different manifestations of modern nashīd, based on musical characteristics and functions. These are (1) political hymns, (2) traditional inshād, (3) popularised nasheed and, finally, (4) the Jihadi anāshīd (sg. nashīd), which musically draw from all three preceding categories.
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Teja Marella, Surya, and Hemanth Sai Kumar Parisa. "Introduction to Quantum Computing." In Quantum Computing and Communications [Working Title]. IntechOpen, 2020. http://dx.doi.org/10.5772/intechopen.94103.

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Quantum computing is a modern way of computing that is based on the science of quantum mechanics and its unbelievable phenomena. It is a beautiful combination of physics, mathematics, computer science and information theory. It provides high computational power, less energy consumption and exponential speed over classical computers by controlling the behavior of small physical objects i.e. microscopic particles like atoms, electrons, photons, etc. Here, we present an introduction to the fundamental concepts and some ideas of quantum computing. This paper starts with the origin of traditional computing and discusses all the improvements and transformations that have been done due to their limitations until now. Then it moves on to the basic working of quantum computing and the quantum properties it follows like superposition, entanglement and interference. To understand the full potentials and challenges of a practical quantum computer that can be launched commercially, the paper covers the architecture, hardware, software, design, types and algorithms that are specifically required by the quantum computers. It uncovers the capability of quantum computers that can impact our lives in various viewpoints like cyber security, traffic optimization, medicines, artificial intelligence and many more. At last, we concluded all the importance, advantages and disadvantages of quantum computers. Small-scale quantum computers are being developed recently. This development is heading towards a great future due to their high potential capabilities and advancements in ongoing research. Before focusing on the significances of a general-purpose quantum computer and exploring the power of the new arising technology, it is better to review the origin, potentials, and limitations of the existing traditional computing. This information helps us in understanding the possible challenges in developing exotic and competitive technology. It will also give us an insight into the ongoing progress in this field.
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Sandy, Mark. "Nature without Self: Beauty, Death and Subjectivity in the Poetics of Walt Whitman, Emily Dickinson and Wallace Stevens." In Transatlantic Transformations of Romanticism. Edinburgh University Press, 2020. http://dx.doi.org/10.3366/edinburgh/9781474421485.003.0007.

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Reflecting on the concerns of previous chapters, this section explores how post-Romantic poetics avow and disavow Romantic ideas about beauty, nature and the self in a bid to come to terms with life in all its ordinariness; with what Stevens plainly identifies as the state of things merely as they are. Ironically, those necessary fictions of the self and environment (the world of the human and nonhuman things) find themselves contradictorily embedded both in and beyond the fictive. Imaginative acts of self-dissolution signal an aesthetic critical distance between the self and nature to be illusory and the extent to which the self is inescapably mired in the fragility of natural process and perpetually aware of its own terminus in death. Accordingly, my coda evinces the British Romantic entanglements in the poetic thought of Emerson, Dickinson and Whitman, as well as Stevens’s complicated, and complicating, post-Romantic responses to those British and American Romantic models of self and nature that Stevens both imaginatively inherits and transforms.
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Zimmermann, Yvonne. "Early Cinema, Process Films, and Screen Advertising." In Advertising and the Transformation of Screen Cultures. Amsterdam University Press, 2021. http://dx.doi.org/10.5117/9789462989153_ch01.

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This chapter explores what early process films can tell us about advertising and the transformation of screen cultures. Starting with a detailed historical study of an exemplary process film, the chapter addresses a number of conceptual issues that resonate with takes on screen advertising suggested in the present book. A particular focus lies on screen advertising’s entanglement with entertainment culture, education, visual culture, and commodity culture. Questions of genre and aesthetics, in particular the colour aesthetics of process films in early cinema as well as their colonialist ideology, are also addressed. The chapter argues that screen advertising, despite its often-acknowledged ephemeral nature, is an utterly robust or persistent phenomenon – persistent in regard to the objects, screens, and practices of screen advertising.
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Copeland, M. Shawn. "Enfleshing Love: A Decolonial Theological Reading of Beloved." In Beyond the Doctrine of Man. Fordham University Press, 2019. http://dx.doi.org/10.5422/fordham/9780823286898.003.0005.

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This chapter draws on Toni Morrison’s novel Beloved to unsettle meanings of freedom, love, and subjectivity. It uses a decolonial political theological perspective that pivots on two paradoxical aspects of Christianity: its entanglement with the colonial anthropological deformation that Sylvia Wynter refers to as “Man” and its commitment to justice as social transformation inspired by the life, death, and resurrection of Jesus of Nazareth. In reading Morrison’s novel, Copeland leaves the reader without a tidy conclusion that returns to an affirmation of Christian tradition. Prioritizing black existential pain that pervades Morrison’s work, this chapter offers the most sacred identity of the human person, which it argues is realized in enfleshing love, as a site for unsettling modern/colonial anthropological distortions.
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Conference papers on the topic "Entanglement Transformations"

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Chen, Xiao-yu, Xiang-Jun Li, Xi-Wu Chen, Ying Jiang, and Jie Cheng. "Entanglement transformations in quantum A/D and D/A mappings." In Photonics Asia 2004, edited by Guang-Can Guo, Hoi-Kwong Lo, Masahide Sasaki, and Songhao Liu. SPIE, 2005. http://dx.doi.org/10.1117/12.575079.

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Burkov, A., A. Chernyavskiy, and Yu Ozhigov. "Algorithmic approach to quantum theory 3: bipartite entanglement dynamics in systems with random unitary transformations." In SPIE Proceedings, edited by Yuri I. Ozhigov. SPIE, 2006. http://dx.doi.org/10.1117/12.683108.

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Yunxia Dong and Xiangdong Zhang. "Unusual entanglement transformation properties of the quantum radiation through one-dimensional random system containing left-handed-materials." In 2008 International Workshop on Metamaterials (Meta2008). IEEE, 2008. http://dx.doi.org/10.1109/meta.2008.4723580.

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