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1

Wang, Yifeng. "Symmetry and symmetric transformations in mathematical imaging." Theoretical and Natural Science 31, no. 1 (April 2, 2024): 320–23. http://dx.doi.org/10.54254/2753-8818/31/20241037.

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The article delves into the intricate relationship between symmetry and mathematical imaging, spanning various mathematical disciplines. Symmetry, a concept deeply ingrained in mathematics, manifests in art, nature, and physics, providing a powerful tool for understanding complex structures. The paper explores three types of symmetriesreflection, rotational, and translationalexemplified through concrete mathematical expressions. Evariste Galoiss Group Theory emerges as a pivotal tool, providing a formal framework to understand and classify symmetric operations, particularly in the roots of pol
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2

Iachello, F. "Symmetry in physics." European Physical Journal A 20, no. 1 (April 2003): 1–3. http://dx.doi.org/10.1140/epja/i2003-10193-0.

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3

Osborne, I. S. "PHYSICS: Stimulated Symmetry." Science 317, no. 5846 (September 28, 2007): 1834d—1835d. http://dx.doi.org/10.1126/science.317.5846.1834d.

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4

Barone, M., and A. K. Theophilou. "Symmetry and symmetry breaking in modern physics." Journal of Physics: Conference Series 104 (March 1, 2008): 012037. http://dx.doi.org/10.1088/1742-6596/104/1/012037.

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5

Kosso, Peter. "Symmetry arguments in physics." Studies in History and Philosophy of Science Part A 30, no. 3 (September 1999): 479–92. http://dx.doi.org/10.1016/s0039-3681(99)00012-6.

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6

Green, HS. "A Cyclic Symmetry Principle in Physics." Australian Journal of Physics 47, no. 1 (1994): 25. http://dx.doi.org/10.1071/ph940025.

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Many areas of modern physics are illuminated by the application of a symmetry principle, requiring the invariance of the relevant laws of physics under a group of transformations. This paper examines the implications and some of the applications of the principle of cyclic symmetry, especially in the areas of statistical mechanics and quantum mechanics, including quantized field theory. This principle requires invariance under the transformations of a finite group, which may be a Sylow 7r-group, a group of Lie type, or a symmetric group. The utility of the principle of cyclic invariance is demo
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7

Boi, Luciano. "Symmetry and Symmetry Breaking in Physics: From Geometry to Topology." Symmetry 13, no. 11 (November 5, 2021): 2100. http://dx.doi.org/10.3390/sym13112100.

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Symmetry (and group theory) is a fundamental principle of theoretical physics. Finite symmetries, continuous symmetries of compact groups, and infinite-dimensional representations of noncompact Lie groups are at the core of solid physics, particle physics, and quantum physics, respectively. The latter groups now play an important role in many branches of mathematics. In more recent years, we have been faced with the impact of topological quantum field theory (TQFT). Topology and symmetry have deep connections, but topology is inherently broader and more complex. While the presence of symmetry
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8

HOURI, TSUYOSHI. "KILLING–YANO SYMMETRY IN SUPERGRAVITY THEORIES." International Journal of Modern Physics: Conference Series 21 (January 2013): 132–35. http://dx.doi.org/10.1142/s2010194513009483.

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Killing–Yano symmetry has played an important role in the study of black hole physics. In supergravity theories, Killing–Yano symmetry is deformed by the presence of the fluxes which can be identified with skew-symmetric torsion. Therefore, we attempt to classify spacetimes admitting Killing-Yano symmetry with torsion. In particular, the classification problem of metrics admitting a principal Killing–Yano tensor with torsion is discussed.
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9

Faraoni, Valerio. "Turnaround physics beyond spherical symmetry." Journal of Physics: Conference Series 2156, no. 1 (December 1, 2021): 012017. http://dx.doi.org/10.1088/1742-6596/2156/1/012017.

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Abstract The concept of turnaround radius in an accelerating universe is generalized to arbitrarily large deviations from spherical symmetry, as needed by astronomy. As a check, previous results for small deviations from spherical symmetry are recovered.
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10

Bahri, C., J. Draayer, and S. Moszkowski. "Pseudospin symmetry in nuclear physics." Physical Review Letters 68, no. 14 (April 1992): 2133–36. http://dx.doi.org/10.1103/physrevlett.68.2133.

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11

Koptsik, V. A. "Generalized symmetry in crystal physics." Computers & Mathematics with Applications 16, no. 5-8 (1988): 407–24. http://dx.doi.org/10.1016/0898-1221(88)90231-3.

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Gross, David J. "Symmetry in Physics: Wigner's Legacy." Physics Today 48, no. 12 (December 1995): 46–50. http://dx.doi.org/10.1063/1.881480.

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13

Bagnato, Vanderlei S., Rashid G. Nazmitdinov, and Vyacheslav I. Yukalov. "Symmetry in Many-Body Physics." Symmetry 15, no. 1 (December 27, 2022): 72. http://dx.doi.org/10.3390/sym15010072.

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14

Shuryak, E. V. "Physics of chiral symmetry breaking." Nuclear Physics A 527 (May 1991): 513–18. http://dx.doi.org/10.1016/0375-9474(91)90147-x.

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15

Hu, Zhou, Zhao-Yun Zeng, Jia Tang, and Xiao-Bing Luo. "Quasi-parity-time symmetric dynamics in periodically driven two-level non-Hermitian system." Acta Physica Sinica 71, no. 7 (2022): 074207. http://dx.doi.org/10.7498/aps.70.20220270.

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<sec>In recent years, there have been intensive studies of non-Hermitian physics and parity–time (PT) symmetry due to their fundamental importance in theory and outstanding applications. A distinctive character in PT-symmetric system is phase transition (spontaneous PT-symmetry breaking), i.e. an all-real energy spectrum changes into an all-complex one when the non-Hermitian parameter exceeds a certain threshold. However, the conditions for PT-symmetric system with real energy spectrum to occur are rather restrictive. The generalization of PT-symmetric potentials to wider classes of non-
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16

Kim, M., Y. Yang, Y. S. Gui, and C. M. Hu. "Visualization of synchronization zone on the Bloch sphere through an anti-PT-symmetric electrical circuit." AIP Advances 12, no. 3 (March 1, 2022): 035217. http://dx.doi.org/10.1063/5.0081693.

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This work reports an analysis of the anti-parity-time (APT) symmetry system produced by pure dissipative coupled passive electric oscillators. Through spectral and time-domain measurements, the complex eigenfrequencies of the APT-symmetric system were measured. Interesting physics, such as exceptional points, APT-symmetry breaking transitions, and frequency synchronization with explicitly defined phase differences, were observed. Most importantly, we found that synchronous signals span the equator of the Bloch sphere. Therefore, our methodology functions as an analogon understructure to explor
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17

Eltschka, Christopher, and Jens Siewert. "Optimal class-specific witnesses for three-qubit entanglement from Greenberger-Horne-Zeilinger symmetry." Quantum Information and Computation 13, no. 3&4 (March 2013): 210–20. http://dx.doi.org/10.26421/qic13.3-4-3.

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Recently, a new type of symmetry for three-qubit quantum states was introduced, the so-called Greenberger-Horne-Zeilinger (GHZ) symmetry. It includes the operations which leave the three-qubit standard GHZ state unchanged. This symmetry is powerful as it yields families of mixed states that are, on the one hand, complex enough from the physics point of view and, on the other hand, simple enough mathematically so that their properties can be characterized analytically. We show that by using the properties of GHZ-symmetric states it is straightforward to derive optimal witnesses for detecting cl
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18

Gazeau, Jean-Pierre. "The Language of Spheres in Physics." Universe 10, no. 3 (March 1, 2024): 117. http://dx.doi.org/10.3390/universe10030117.

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Physical laws manifest themselves through the amalgamation of mathematical symbols, numbers, functions, geometries, and relationships. These intricate combinations unfold within a mathematical model devised to capture and represent the “objective reality” of the system under examination. In this symbiotic relationship between physics and mathematics, the language of mathematics becomes a powerful tool for describing and predicting the behavior of the physical world. The language used and the associated concepts are in a perpetual state of evolution, mirroring the ongoing expansion of the pheno
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19

Koch, Volker. "Aspects of Chiral Symmetry." International Journal of Modern Physics E 06, no. 02 (June 1997): 203–49. http://dx.doi.org/10.1142/s0218301397000147.

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This article is an attempt to a pedagogical introduction and review into the elementary concepts of chiral symmetry in nuclear physics. Effective chiral models such as the linear and nonlinear sigma model will be discussed as well as the essential ideas of chiral perturbation theory. Some applications to the physics of ultrarelativistic heavy ion collisions will be presented.
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20

Ferrando, Albert, and Miguel Ángel García-March. "Symmetry in Electromagnetism." Symmetry 12, no. 5 (April 26, 2020): 685. http://dx.doi.org/10.3390/sym12050685.

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21

Li, Chunbiao, Zhinan Li, Yicheng Jiang, Tengfei Lei, and Xiong Wang. "Symmetric Strange Attractors: A Review of Symmetry and Conditional Symmetry." Symmetry 15, no. 8 (August 10, 2023): 1564. http://dx.doi.org/10.3390/sym15081564.

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A comprehensive review of symmetry and conditional symmetry is made from the core conception of symmetry and conditional symmetry. For a dynamical system, the structure of symmetry means its robustness against the polarity change of some of the system variables. Symmetric systems typically show symmetrical dynamics, and even when the symmetry is broken, symmetric pairs of coexisting attractors are born, annotating the symmetry in another way. The polarity balance can be recovered through combinations of the polarity reversal of system variables, and furthermore, it can also be restored by the
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22

Petitjean, Michel. "Symmetry, Antisymmetry, and Chirality: Use and Misuse of Terminology." Symmetry 13, no. 4 (April 4, 2021): 603. http://dx.doi.org/10.3390/sym13040603.

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We outline the need for rigorous and consensual definitions in the field of symmetry, in particular about chirality. We provide examples of confusing use of such terminology in the mathematical literature and in the physics literature. In particular, we prove that an antisymmetric function is symmetric for a wide class of metrics. It may be either direct-symmetric or achiral or both direct-symmetric and achiral.
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23

Mannheim, Philip D. "Symmetry and spontaneously broken symmetry in the physics of elementary particles." Computers & Mathematics with Applications 12, no. 1-2 (January 1986): 169–83. http://dx.doi.org/10.1016/0898-1221(86)90149-5.

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24

Kudryashova, Olga B. "Dispersed Systems: Physics, Optics, Invariants, Symmetry." Symmetry 14, no. 8 (August 4, 2022): 1602. http://dx.doi.org/10.3390/sym14081602.

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25

Yavahchova, Mariya S., and Dimitar Tonev. "Example for symmetry in nuclear physics." Symmetry: Culture and Science 32, no. 2 (2021): 294–97. http://dx.doi.org/10.26830/symmetry_2021_2_294.

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26

Gaponov, Y. V., D. M. Vladimirov, and J. Bang. "Spin-isospin symmetry in nuclear physics." Acta Physica Hungarica A) Heavy Ion Physics 3, no. 3-4 (August 1996): 189–228. http://dx.doi.org/10.1007/bf03053666.

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27

Villain, J. "Symmetry and group theory throughout physics." EPJ Web of Conferences 22 (2012): 00002. http://dx.doi.org/10.1051/epjconf/20122200002.

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28

El-Ganainy, Ramy, Konstantinos G. Makris, Mercedeh Khajavikhan, Ziad H. Musslimani, Stefan Rotter, and Demetrios N. Christodoulides. "Non-Hermitian physics and PT symmetry." Nature Physics 14, no. 1 (January 2018): 11–19. http://dx.doi.org/10.1038/nphys4323.

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29

Baker, David John. "Symmetry and the Metaphysics of Physics." Philosophy Compass 5, no. 12 (December 2010): 1157–66. http://dx.doi.org/10.1111/j.1747-9991.2010.00361.x.

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30

Kaneko, Toshiaki, and Hirotaka Sugawara. "Broken S3 symmetry in flavor physics." Physics Letters B 697, no. 4 (March 2011): 329–32. http://dx.doi.org/10.1016/j.physletb.2011.02.017.

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31

Rosen, Joe. "Fundamental manifestations of symmetry in physics." Foundations of Physics 20, no. 3 (March 1990): 283–307. http://dx.doi.org/10.1007/bf00731694.

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32

Shirkov, D. V. "Imagery of symmetry in current physics." Theoretical and Mathematical Physics 170, no. 2 (February 2012): 239–48. http://dx.doi.org/10.1007/s11232-012-0026-5.

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33

Ahmed, Zafar. "PT-symmetry in conventional quantum physics." Journal of Physics A: Mathematical and General 39, no. 32 (July 26, 2006): 9965–74. http://dx.doi.org/10.1088/0305-4470/39/32/s01.

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34

Kreinovich, Vladik, and Luc Longpré. "Unreasonable effectiveness of symmetry in physics." International Journal of Theoretical Physics 35, no. 7 (July 1996): 1549–55. http://dx.doi.org/10.1007/bf02084960.

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35

Tselnik, F. "Platonic solids symmetry in particle physics." Communications in Nonlinear Science and Numerical Simulation 12, no. 8 (December 2007): 1427–39. http://dx.doi.org/10.1016/j.cnsns.2006.03.016.

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36

Iachello, F. "Symmetry and supersymmetry in nuclear physics." La Rivista del Nuovo Cimento 19, no. 7 (July 1996): 1–26. http://dx.doi.org/10.1007/bf02757355.

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37

Chmyr’, S. N., A. S. Kazakov, A. V. Galeeva, D. E. Dolzhenko, A. I. Artamkin, A. V. Ikonnikov, N. N. Mikhailov, et al. "PT-Symmetric Microwave Photoconductivity in Heterostructures Based on the Hg1 − xCdxTe Topological Phase." JETP Letters 118, no. 5 (September 2023): 339–42. http://dx.doi.org/10.1134/s0021364023602385.

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The PT-symmetric photoconductivity has been detected for the first time in microwave-irradiated heterostructures based on thick Hg1 −xCdxTe films with the CdTe content x corresponding to the topological phase although the magnetic field symmetry (T symmetry) and the symmetry in the positions of potential contact pairs (P symmetry) are not conserved separately. The microwave photoconductivity in similar heterostructures based on the trivial Hg1 −xCdxTe phase is both P- and T-symmetric.
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38

Tishchenko, I. Yu, D. Yu Tishchenko, S. A. Zavgorodny, and S. A. Berezhanskaya. "SPONTANEOUS SYMMETRY BREAKING ON THE EXAMPLE OF THE KLEIN —GORDON REAL FIELD." Chronos 7, no. 5(67) (August 13, 2022): 55–58. http://dx.doi.org/10.52013/2658-7556-67-5-18.

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This scientific work examiner symmetry in nature and physics, its mathematical description. The spontaneous breaking of the Klein—Gordon real field is considered. The role of symmetry and spontaneous symmetry breaking in the development of physics is shown.
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39

GEORGI, HOWARD. "UNPARTICLE PHYSICS." International Journal of Modern Physics A 25, no. 02n03 (January 30, 2010): 573–86. http://dx.doi.org/10.1142/s0217751x1004886x.

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40

dell’Isola, Francesco, and Hovik A. Matevossian. "Foundations of Continuum Mechanics and Mathematical Physics—Editorial 2021–2023." Symmetry 15, no. 9 (August 25, 2023): 1643. http://dx.doi.org/10.3390/sym15091643.

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41

Schlatter, Andreas. "On the Role of Unitary-Symmetry for the Foundation of Probability and Time in a Realist Approach to Quantum Physics." Symmetry 10, no. 12 (December 10, 2018): 737. http://dx.doi.org/10.3390/sym10120737.

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We show that probabilities in quantum physics can be derived from permutation-symmetry and the principle of indifference. We then connect unitary-symmetry to the concept of “time” and define a thermal time-flow by symmetry breaking. Finally, we discuss the coexistence of quantum physics and relativity theory by making use of the thermal time-flow.
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42

Watanabe, Hikaru, and Youichi Yanase. "Magnetic parity violation and parity-time-reversal-symmetric magnets." Journal of Physics: Condensed Matter 36, no. 37 (June 19, 2024): 373001. http://dx.doi.org/10.1088/1361-648x/ad52dd.

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Abstract Parity-time-reversal symmetry ( PT symmetry), a symmetry for the combined operations of space inversion ( P ) and time reversal ( T ), is a fundamental concept of physics and characterizes the functionality of materials as well as P and T symmetries. In particular, the PT -symmetric systems can be found in the centrosymmetric crystals undergoing the parity-violating magnetic order which we call the odd-parity magnetic multipole order. While this spontaneous order leaves PT symmetry intact, the simultaneous violation of P and T symmetries gives rise to various emergent responses that a
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43

Tan, Wanpeng. "Mirror Symmetry for New Physics beyond the Standard Model in 4D Spacetime." Symmetry 15, no. 7 (July 14, 2023): 1415. http://dx.doi.org/10.3390/sym15071415.

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The two discrete generators of the full Lorentz group O(1,3) in 4D spacetime are typically chosen to be parity inversion symmetry P and time reversal symmetry T, which are responsible for the four topologically separate components of O(1,3). Under general considerations of quantum field theory (QFT) with internal degrees of freedom, mirror symmetry is a natural extension of P, while CP symmetry resembles T in spacetime. In particular, mirror symmetry is critical as it doubles the full Dirac fermion representation in QFT and essentially introduces a new sector of mirror particles. Its close con
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44

KATZIR, SHAUL. "The emergence of the principle of symmetry in physics." Historical Studies in the Physical and Biological Sciences 35, no. 1 (September 1, 2004): 35–65. http://dx.doi.org/10.1525/hsps.2004.35.1.35.

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ABSTRACT: In 1894 Pierre Curie formulated rules for relations between physical phenomena and their symmetry. The symmetry concept originated in the geometrical study of crystals, which it served as a well-defined concept from the 1830s. Its extension as a rule for all physics was a gradual and slow process in which applications, though often partial, preceded the formulation and clear conceptualization of the rules. Two traditions that involved ““interdisciplinary”” study were prominent in applying consideration of symmetry to physics. One is a French tradition of physical crystallography that
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45

Bochkarev, N. G., and M. Yu Khlopov. "Observational Physics of Mirror World." Symposium - International Astronomical Union 183 (1999): 309. http://dx.doi.org/10.1017/s0074180900133005.

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Mirror (shadow) particles are required to restore symmetry between left- and right-handed coordinate systems. If mirror world exists, it has been born at the same time as the ordinary world and has the same evolution (in the case of the shadow world - broken mirror symmetry, the evolution and structure of the shadow world does not correspond with the observed world). Mirror world is a kind of dark matter. According to Bahcall (1984) local dark matter has a density approximately equal to the density of observed (ordinary) matter.
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46

LaBorde, Margarite L., Soorya Rethinasamy, and Mark M. Wilde. "Testing symmetry on quantum computers." Quantum 7 (September 25, 2023): 1120. http://dx.doi.org/10.22331/q-2023-09-25-1120.

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Symmetry is a unifying concept in physics. In quantum information and beyond, it is known that quantum states possessing symmetry are not useful for certain information-processing tasks. For example, states that commute with a Hamiltonian realizing a time evolution are not useful for timekeeping during that evolution, and bipartite states that are highly extendible are not strongly entangled and thus not useful for basic tasks like teleportation. Motivated by this perspective, this paper details several quantum algorithms that test the symmetry of quantum states and channels. For the case of t
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47

Hammer, Hans-Werner, and Dam Thanh Son. "Unnuclear physics: Conformal symmetry in nuclear reactions." Proceedings of the National Academy of Sciences 118, no. 35 (August 23, 2021): e2108716118. http://dx.doi.org/10.1073/pnas.2108716118.

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We investigate a nonrelativistic version of Georgi’s “unparticle physics.” We define the unnucleus as a field in a nonrelativistic conformal field theory. Such a field is characterized by a mass and a conformal dimension. We then consider the formal problem of scatterings to a final state consisting of a particle and an unnucleus and show that the differential cross-section, as a function of the recoil energy received by the particle, has a power-law singularity near the maximal recoil energy, where the power is determined by the conformal dimension of the unnucleus. We argue that unlike the r
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48

Hill, Christopher T., and Leon M. Lederman. "Teaching symmetry in the introductory physics curriculum." Physics Teacher 38, no. 6 (September 2000): 348–53. http://dx.doi.org/10.1119/1.1321816.

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49

Iachello, Francesco. "The role of symmetry in nuclear physics." Journal of Physics: Conference Series 580 (February 9, 2015): 012041. http://dx.doi.org/10.1088/1742-6596/580/1/012041.

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50

Ovchinnikova, E. N., and R. N. Kuz'min. "Symmetry in the nuclear solid state physics." Computers & Mathematics with Applications 16, no. 5-8 (1988): 657–61. http://dx.doi.org/10.1016/0898-1221(88)90253-2.

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