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Relevant bibliographies by topics / Unitary transformation

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Academic literature on the topic 'Unitary transformation'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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Journal articles on the topic "Unitary transformation"

1

Casas, F., J. A. Oteo, and J. Ros. "Unitary transformations depending on a small parameter." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 468, no. 2139 (2011): 685–700. http://dx.doi.org/10.1098/rspa.2011.0388.

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We formulate a unitary perturbation theory for quantum mechanics inspired by the Lie-Deprit formulation of canonical transformations. The original Hamiltonian is converted into a solvable one by a transformation obtained through a Magnus expansion. This ensures unitarity at every order in a small parameter. A comparison with the standard perturbation theory is provided. We work out the scheme up to order ten with some simple examples.

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Lu, Jun. "Transformation of Quantum States in Quantum Computation." Applied Mechanics and Materials 80-81 (July 2011): 276–78. http://dx.doi.org/10.4028/www.scientific.net/amm.80-81.276.

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Quantum computation is based on transformation of quantum states. Quantum bits are two-level quantum systems, and as the simplest elementary building blocks for a quantum computer, they provide a convenient labeling for pairs of states and their physical realizations. Closed quantum systems evolve unitarily as determined by their Hamiltonians, but to perform quantum computation one must be able to control the Hamiltonian to effect an arbitrary selection from a universal family of unitary transformations.

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Kitchen, John, Bill Moran, and Stephen Howard. "Intercept Capacity: Unknown Unitary Transformation." Entropy 10, no. 4 (2008): 722–35. http://dx.doi.org/10.3390/e10040722.

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TIAN, XIU-LAO, WEI ZHANG, MEI-XIA ZHAO, and XIAO-QIANG XI. "UNITARY TRANSFORMATION IN PROBABILISTIC TELEPORTATION." International Journal of Quantum Information 10, no. 05 (2012): 1250061. http://dx.doi.org/10.1142/s021974991250061x.

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We proposed a general transformation in probabilistic teleportation, which is based on different entanglement matching coefficients K corresponding to different unitary evolution which provides one with more flexible evolution method experimentally. Through analysis based on the Bell basis and generalized Bell basis measurement for two probabilistic teleportation, we suggested a general probability of successful teleportation, which is not only determined by the entanglement degree of transmission channels and measurement methods, but also related to the unitary transformation in the teleporta

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Zheng-Chuan, Wang. "Unitary Transformation in Quantum Teleportation." Communications in Theoretical Physics 46, no. 5 (2006): 857–58. http://dx.doi.org/10.1088/0253-6102/46/5/018.

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Zhan-Ying, Yang, Zhang Kai, Hou Bo-Yu, and Shi Kang-Jie. "Unitary Transformation in kq Representation." Communications in Theoretical Physics 52, no. 1 (2009): 103–7. http://dx.doi.org/10.1088/0253-6102/52/1/23.

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HIROSHIMA, FUMIO. "DIAMAGNETIC INEQUALITIES FOR SYSTEMS OF NONRELATIVISTIC PARTICLES WITH A QUANTIZED FIELD." Reviews in Mathematical Physics 08, no. 02 (1996): 185–203. http://dx.doi.org/10.1142/s0129055x9600007x.

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By unitary transformations (gauge transformations, the Bogoliubov transformations) and the strong Trotter product formula, diamagnetic inequalities for the Pauli-Fierz model of quantum electrodynamics (QED) and the Nelson model are derived. In the Nelson model, the unitary transformation defines effective potentials. Moreover, the infimum of the spectrum of Hamiltonians for these models are estimated and some generalized Kato’s inequalities are obtained.

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Tang, Zhong. "Right-unitary transformation theory and applications." Physical Review A 54, no. 1 (1996): 154–73. http://dx.doi.org/10.1103/physreva.54.154.

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Lorenz, Robin, and Jonathan Barrett. "Causal and compositional structure of unitary transformations." Quantum 5 (July 28, 2021): 511. http://dx.doi.org/10.22331/q-2021-07-28-511.

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The causal structure of a unitary transformation is the set of relations of possible influence between any input subsystem and any output subsystem. We study whether such causal structure can be understood in terms of compositional structure of the unitary. Given a quantum circuit with no path from input system A to output system B, system A cannot influence system B. Conversely, given a unitary U with a no-influence relation from input A to output B, it follows from [B. Schumacher and M. D. Westmoreland, Quantum Information Processing 4 no. 1, (Feb, 2005)] that there exists a circuit decompos

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BEAUDRAP, NIEL DE. "UNITARY-CIRCUIT SEMANTICS FOR MEASUREMENT-BASED COMPUTATIONS." International Journal of Quantum Information 08, no. 01n02 (2010): 1–91. http://dx.doi.org/10.1142/s0219749910006113.

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One-way measurement based quantum computations (1WQC) may describe unitary transformations, via a composition of CPTP maps which are not all unitary themselves. This motivates the following decision problems. Is it possible to determine whether a "quantum-to-quantum" 1WQC procedure (having non-trivial input and output subsystems) performs a unitary transformation? Is it possible to describe precisely how such computations transform quantum states, by translation to a quantum circuit of comparable complexity? In this article, we present an efficient algorithm for transforming certain families o

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Dissertations / Theses on the topic "Unitary transformation"

1

Jones, Paul. "Unitary double products as implementors of Bogolubov transformations." Thesis, Loughborough University, 2013. https://dspace.lboro.ac.uk/2134/14306.

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This thesis is about double product integrals with pseudo rotational generator, and aims to exhibit them as unitary implementors of Bogolubov transformations. We further introduce these concepts in this abstract and describe their roles in the thesis's chapters. The notion of product integral, (simple product integral, not double) is not a new one, but is unfamiliar to many a mathematician. Product integrals were first investigated by Volterra in the nineteenth century. Though often regarded as merely a notation for solutions of differential equations, they provide a priori a multiplicative an

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Qiu, Qingchun. "Studies of vibronic interactions in tetrahedral and iscosahedral systems." Thesis, University of Nottingham, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.243696.

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李鷹 and Ying Li. "The U-transformation and the Hamiltonian techniques for the finite strip method." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 1996. http://hub.hku.hk/bib/B31235037.

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Li, Ying. "The U-transformation and the Hamiltonian techniques for the finite strip method /." Hong Kong : University of Hong Kong, 1996. http://sunzi.lib.hku.hk/hkuto/record.jsp?B18062052.

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Cébron, Guillaume. "Processus sur le groupe unitaire et probabilités libres." Thesis, Paris 6, 2014. http://www.theses.fr/2014PA066380/document.

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Cette thèse est consacrée à l'étude asymptotique d'objets liés au mouvement brownien sur le groupe unitaire en grande dimension, ainsi qu'à l'étude, dans le cadre des probabilités libres, des versions non-commutatives de ces objets. Elle se subdivise essentiellement en trois parties.Dans le chapitre 2, nous résolvons le problème initial de cette thèse, à savoir la convergence de la transformation de Hall sur le groupe unitaire vers la transformation de Hall libre, lorsque la dimension tend vers l'infini. Pour résoudre ce problème, nous établissons des théorèmes d'existence de noyaux de transit

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Exius, Isabelle Désirée [Verfasser]. "Properties of undoped and doped spin-1/2 ladders at finite temperature : continuous unitary transformation combined with a mean field approach and inelastic neutron scattering results for the cuprate family / Isabelle Désirée Exius." Dortmund : Universitätsbibliothek Technische Universität Dortmund, 2011. http://d-nb.info/1011568446/34.

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Bartlett, S. D., D. A. Rice, B. C. Sanders, J. Daboul, H. de Guise, and Andreas Cap@esi ac at. "Unitary Transformations for Testing Bell Inequalities." ESI preprints, 2000. ftp://ftp.esi.ac.at/pub/Preprints/esi947.ps.

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Kiani, Bobak Toussi. "Quantum artificial intelligence : learning unitary transformations." Thesis, Massachusetts Institute of Technology, 2020. https://hdl.handle.net/1721.1/127158.

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Thesis: S.M., Massachusetts Institute of Technology, Department of Mechanical Engineering, May, 2020<br>Cataloged from the official PDF of thesis.<br>Includes bibliographical references (pages 77-83).<br>Linear algebra is a simple yet elegant mathematical framework that serves as the mathematical bedrock for many scientific and engineering disciplines. Broadly defined as the study of linear equations represented as vectors and matrices, linear algebra provides a mathematical toolbox for manipulating and controlling many physical systems. For example, linear algebra is central to the modeling o

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Anderson, Brian Eric. "Unitary Transformations in a Large Hilbert Space." Diss., The University of Arizona, 2013. http://hdl.handle.net/10150/305872.

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Quantum systems with Hilbert space dimension greater than two (qudits) provide an alternative to qubits as carriers of quantum information, and may prove advantageous for quantum information tasks if good laboratory tools for qudit manipulation and readout can be developed. We have implemented a protocol for arbitrary unitary transformations in the 16 dimensional hyperfine ground manifold of Cesium 133 atoms, using phase modulated rf and microwave magnetic fields to drive the atomic evolution. Our phase modulation waveforms are designed numerically using a variant of the highly efficient GRAPE

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Kriel, Johannes Nicolaas. "Non-perturbative flow equations from continuous unitary transformations." Thesis, Link to the online version, 2005. http://hdl.handle.net/10019/1076.

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Books on the topic "Unitary transformation"

1

S, Agaian S., ed. Multidimensional discrete unitary transforms: Representation, partitioning, and algorithms. Marcel Dekker, 2003.

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2

On certain unitary representations of an infinite group of transformations. World Scientific, 2001.

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3

Wagner, Max. Unitary transformations in solid state physics. North-Holland, 1986.

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Unitary transformations in solid state physics. North-Holland, 1986.

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5

Ohiro, O. J. Africa: Tragedies, challenges, and expectations in transformation. TSEJU Prints, 2003.

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6

Mahāsaṅgha, Nepāla Ṭreḍa Yūniyana, ed. Unity for transformation: Direction of Nepali trade union movement. General Federation of Nepalese Trade Unions, 2009.

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Development, Strategic Info Research, ed. From unity to multiplicities: Social movement transformation and democratization in Asia. Strategic Information and Research Development Centre, 2012.

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8

Forging ahead with social & economic transformation: Manifesto 2004 : unity, peace, democracy & development. United Democratic Front, 2004.

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9

The unity of mystical traditions: The transformation of consciousness in Tibetan and German mysticism. Brill, 2005.

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10

Unity in diversity: A study of Apuleius' Metamorphoses : with particular reference to the narrator's art of transformation and the metamorphosis motif in the Tale of Cupid and Psyche. Olms-Weidmann, 1987.

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Book chapters on the topic "Unitary transformation"

1

Cohen, Leon. "Unitary Transformation." In The Weyl Operator and its Generalization. Springer Basel, 2012. http://dx.doi.org/10.1007/978-3-0348-0294-9_7.

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Kamata, Masayoshi. "On the characteristic numbers of unitary semi-free S1-manifolds." In Transformation Groups. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/bfb0085604.

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Sato, T., M. Doi, N. Odagawa, and H. Ohtsubo. "πNN System and the Method of Unitary Transformation." In Mesons and Light Nuclei. Springer Vienna, 1992. http://dx.doi.org/10.1007/978-3-7091-7617-7_32.

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4

Kapor, D., M. Škrinjar, and S. Stojanovic. "Unitary Transformation and “Decoupling” of Excitons and Phonons in ACN." In Davydov’s Soliton Revisited. Springer US, 1990. http://dx.doi.org/10.1007/978-1-4757-9948-4_9.

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Sasaki-Usuda, Tsuyoshi, and Masayasu Hata. "On the Realization of Received Quantum State Control by Unitary Transformation." In Quantum Communication, Computing, and Measurement. Springer US, 1997. http://dx.doi.org/10.1007/978-1-4615-5923-8_14.

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Epelbaoum, E., W. Glöckle, and Ulf-G. Meißner. "Low-momentum effective theory for nucleons using the method of unitary transformation." In Few-Body Problems in Physics ’98. Springer Vienna, 1999. http://dx.doi.org/10.1007/978-3-7091-6798-4_93.

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7

Lyche, Tom. "Orthonormal and Unitary Transformations." In Numerical Linear Algebra and Matrix Factorizations. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-36468-7_5.

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Kimmich, Rainer. "Unitary Transformations in NMR." In NMR. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-60582-6_48.

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Lyche, Tom, Georg Muntingh, and Øyvind Ryan. "Orthonormal and Unitary Transformations." In Texts in Computational Science and Engineering. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-59789-4_5.

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Jähne, Bernd. "Unitäre Transformationen und Bildrepräsentation." In Digitale Bildverarbeitung. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-662-06734-5_3.

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Conference papers on the topic "Unitary transformation"

1

Sharma, Manoj, Manoj Shukla, and Amit Kaul. "Image hiding using unitary similarity transformation." In 2011 IEEE International Conference on Image Information Processing (ICIIP). IEEE, 2011. http://dx.doi.org/10.1109/iciip.2011.6108850.

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Lichun Li, Chongsen Ran, and Feng Wei. "Number of multipaths estimation by unitary transformation." In 2004 International Conference on Communications, Circuits and Systems. IEEE, 2004. http://dx.doi.org/10.1109/icccas.2004.1345959.

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Thiel, Valérian, Alex O. C. Davis, Peru d’Ornellas, Nicolas Treps, and Brian J. Smith. "Programmable unitary transformation of spectro-temporal modes." In Frontiers in Optics. OSA, 2017. http://dx.doi.org/10.1364/fio.2017.jw4a.5.

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Brandt, Howard E. "Optimized unitary transformation for BB84 entangling probe." In Defense and Security, edited by Eric Donkor, Andrew R. Pirich, and Howard E. Brandt. SPIE, 2004. http://dx.doi.org/10.1117/12.540875.

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Zhang, Lili, Qinghua Huang, Tingwei Chen, and Yong Fang. "Frequency Invariant Beamforming Using Unitary Transformation for Spherical Arrays." In 2018 14th IEEE International Conference on Signal Processing (ICSP). IEEE, 2018. http://dx.doi.org/10.1109/icsp.2018.8652398.

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Maekawa, Takahiro, Takayuki Nakachi, Sayaka Shiota, and Hitoshi Kiya. "Privacy-Preserving SVM Computing by Using Random Unitary Transformation." In 2018 International Symposium on Intelligent Signal Processing and Communication Systems (ISPACS). IEEE, 2018. http://dx.doi.org/10.1109/ispacs.2018.8923293.

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Li, Zezheng, Yingxin Kuang, Zhiyong Li, and Weihua Han. "Optical unitary transformation of general nonoverlapping-image multimode interference couplers." In Eleventh International Conference on Information Optics and Photonics (CIOP 2019), edited by Hannan Wang. SPIE, 2019. http://dx.doi.org/10.1117/12.2542875.

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D'ARIANO, GIACOMO MAURO, and PAOLO PERINOTTI. "ON THE MOST EFFICIENT UNITARY TRANSFORMATION FOR PROGRAMMING QUANTUM CHANNELS." In Proceedings of the 26th Conference. WORLD SCIENTIFIC, 2007. http://dx.doi.org/10.1142/9789812770271_0016.

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Luo, Man, Qinghua Guo, Defeng Huang, and Jiangtao Xi. "Sparse Bayesian Learning Based on Approximate Message Passing with Unitary Transformation." In 2019 IEEE VTS Asia Pacific Wireless Communications Symposium (APWCS). IEEE, 2019. http://dx.doi.org/10.1109/vts-apwcs.2019.8851644.

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Li, Yue-qin, Jin-ping Li, and Lei Han. "A Fast Sea Interface Reverberation Suppression Method Based on Unitary Transformation." In 2010 International Conference on Digital Manufacturing and Automation (ICDMA). IEEE, 2010. http://dx.doi.org/10.1109/icdma.2010.100.

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Reports on the topic "Unitary transformation"

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Farhi, Edward, and Hartmut Neven. Classification with Quantum Neural Networks on Near Term Processors. Web of Open Science, 2020. http://dx.doi.org/10.37686/qrl.v1i2.80.

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We introduce a quantum neural network, QNN, that can represent labeled data, classical or quantum, and be trained by supervised learning. The quantum circuit consists of a sequence of parameter dependent unitary transformations which acts on an input quantum state. For binary classification a single Pauli operator is measured on a designated readout qubit. The measured output is the quantum neural network’s predictor of the binary label of the input state. We show through classical simulation that parameters can be found that allow the QNN to learn to correctly distinguish the two data sets. W

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