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Journal articles on the topic 'Quantum space'

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1

Hamhalter, Jan, and Pavel Pták. "Hilbert-space-valued states on quantum logics." Applications of Mathematics 37, no. 1 (1992): 51–61. http://dx.doi.org/10.21136/am.1992.104491.

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2

P, Di Sia. "Primordial Dynamic Space and Quantum Personal Ergonomics." Ergonomics International Journal 8, no. 1 (2024): 1–3. http://dx.doi.org/10.23880/eoij-16000319.

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The paper defines the notions of “Primordial Dynamic Space” and “Quantum Personal Ergonomics”, with interesting connections with consciousness and the vacuum energy in the direction of a holistic unification.
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3

Oh, Sei-Qwon, Chun-Gil Park, and Yong-Yeon Shin. "QUANTUM -SPACE AND POISSON -SPACE." Communications in Algebra 30, no. 9 (2002): 4197–209. http://dx.doi.org/10.1081/agb-120013313.

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4

Wess, Julius. "q-Deformed Phase Space and its Lattice Structure." International Journal of Modern Physics A 12, no. 28 (1997): 4997–5005. http://dx.doi.org/10.1142/s0217751x97002656.

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Quantum groups lead to an algebraic structure that can be realized on quantum spaces. These are noncommutative spaces that inherit a well-defined mathematical structure from the quantum group symmetry. In turn such quantum spaces can be interpreted as noncommutative configuration spaces for physical systems. We study the noncommutative Euclidean space that is based on the quantum group SO q(3).
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5

Haas, Egbertus Paulus Johannes de. "Space Quantum Gravity." Journal of High Energy Physics, Gravitation and Cosmology 11, no. 02 (2025): 567–78. https://doi.org/10.4236/jhepgc.2025.112039.

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6

CIRELLI, RENZO, ALESSANDRO MANIÀ, and LIVIO PIZZOCCHERO. "QUANTUM PHASE SPACE FORMULATION OF SCHRÖDINGER MECHANICS." International Journal of Modern Physics A 06, no. 12 (1991): 2133–46. http://dx.doi.org/10.1142/s0217751x91001064.

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We develop a geometrical approach to Schrödinger quantum mechanics, alternative to the usual one, which is based on linear and algebraic structures such as Hilbert spaces, operator algebras, etc. The starting point of this approach is the Kähler structure possessed by the set of the pure states of a quantum system. The Kähler manifold of the pure states is regarded as a “quantum phase space”, conceptually analogous to the phase space of a classical hamiltonian system, and all the constituents of the conventional formulation, in particular the algebraic structure of the observables, are reprodu
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7

Ho, Pei-Ming. "Riemannian Geometry on Quantum Spaces." International Journal of Modern Physics A 12, no. 05 (1997): 923–43. http://dx.doi.org/10.1142/s0217751x97000694.

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An algebraic formulation of Riemannian geometry on quantum spaces is presented, where Riemannian metric, distance, Laplacian, connection, and curvature have their counterparts. This description is also extended to complex manifolds. Examples include the quantum sphere, the complex quantum projective space and the two-sheeted space.
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8

Shriethar, Natarajan. "Quantum probabilistic space analysis for enhanced two-wheeler traffic safety: from classical limitations to advanced quantum circuits." Cybernetics and Physics, Volume 13, 2024, Number 4 (December 28, 2024): 302–22. https://doi.org/10.35470/2226-4116-2024-13-4-302-322.

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In the increasing traffic scenario and the presence of automated four-wheeler vehicle-like situations, we need to consider the possible safe driving for the two-wheelers also. As two-wheelers need manual balances, embedding the autopilot systems is a tougher task. To resolve this issue, we attempt to address this problem with probability spaces. Then, these classical probability spaces are promoted into quantum probability spaces. The quantum computing aspects such as quantum gates are embedded in the analysis of the quantum probability space. With those quantum computing protocols, various tr
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9

Kornyak, Vladimir V. "Quantum mereology in finite quantum mechanics." Discrete and Continuous Models and Applied Computational Science 29, no. 4 (2021): 347–60. http://dx.doi.org/10.22363/2658-4670-2021-29-4-347-360.

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Any Hilbert space with composite dimension can be factored into a tensor product of smaller Hilbert spaces. This allows us to decompose a quantum system into subsystems. We propose a model based on finite quantum mechanics for a constructive study of such decompositions.
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10

Feng Tang, Feng Tang, and Bing Zhu Bing Zhu. "Scintillation discriminator improves free-space quantum key distribution." Chinese Optics Letters 11, no. 9 (2013): 090101–90104. http://dx.doi.org/10.3788/col201311.090101.

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11

Oreste Mazzini, Jose. "Space, Main Actor of Quantum and Relativistic Theories." International Journal of Science and Research (IJSR) 10, no. 4 (2021): 436–42. http://dx.doi.org/10.21275/sr21406195404.

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12

Bojowald, Martin, Golam Mortuza Hossain, Mikhail Kagan, and Casey Tomlin. "Quantum Matter in Quantum Space-Time." Quantum Matter 2, no. 6 (2013): 436–43. http://dx.doi.org/10.1166/qm.2013.1078.

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13

Góźdź, A., M. Góźdź, and A. Pȩdrak. "Integral quantization in the quantum configuration space." Journal of Physics: Conference Series 2912, no. 1 (2024): 012005. https://doi.org/10.1088/1742-6596/2912/1/012005.

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Abstract Quantum spacetime in which time is considered on the same footing as other observables is a part of the quantum configuration space. In such space a natural geometry is generated by the transition amplitudes among quantum configuration space points. It is shown, that a good candidate for quantization of extended (plus time) classical configuration spaces is integral quantization. This quantization is compatible with the notion of quantum time. The most basic features of this quantization are presented.
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14

MENG, Wenbing, and Pan ZHOU. "Hilbert space in quantum mechanics." Region - Educational Research and Reviews 6, no. 7 (2024): 93. http://dx.doi.org/10.32629/rerr.v6i7.2344.

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Quantum mechanics is often considered as a relatively obscure physics course, which not only subverts beginners' cognition for Newton's motion laws in classical mechanics but also makes learners afraid, because of its complicated and profound mathematical theories in quantum mechanics. Thus, this article will, from the perspective of quantum mechanics, discuss the fundamental differences between the connotation of Hilbert space and spaces in classical mechanics. The application of Hilbert space in quantum mechanics will be expounded then. Finally, based on learners' difficulties existing in le
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15

Plastino, A., G. Bellomo, and A. R. Plastino. "Quantum state space dimension as a quantum resource." International Journal of Quantum Information 13, no. 06 (2015): 1550039. http://dx.doi.org/10.1142/s0219749915500392.

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We argue that the dimensionality of the space of quantum systems’ states should be considered as a legitimate resource for quantum information tasks. The assertion is supported by the fact that quantum states with discord-like capacities can be obtained from classically-correlated states in spaces of dimension large enough. We illustrate things with some simple examples that justify our claim.
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16

Fioresi, Rita, and María Antonia Lledó. "Quantum Supertwistors." Symmetry 13, no. 7 (2021): 1241. http://dx.doi.org/10.3390/sym13071241.

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In this paper, we give an explicit expression for a star product on the super-Minkowski space written in the supertwistor formalism. The big cell of the super-Grassmannian Gr(2|0,4|1) is identified with the chiral, super-Minkowski space. The super-Grassmannian is a homogeneous space under the action of the complexification SL(4|1) of SU(2,2|1), the superconformal group in dimension 4, signature (1,3), and supersymmetry N=1. The quantization is done by substituting the groups and homogeneous spaces by their quantum deformed counterparts. The calculations are done in Manin’s formalism. When we r
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17

Gopsill, James, Guy Johns, and Ben Hicks. "QUANTUM COMBINATORIAL DESIGN." Proceedings of the Design Society 1 (July 27, 2021): 2511–20. http://dx.doi.org/10.1017/pds.2021.512.

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AbstractCombinatorial Design such as configuration design, design optioneering, component selection, and generative design, is common across engineering. Generating solutions for a combinatorial design task often involves the application of classical computing solvers that can either map or navigate design spaces. However, it has been observed that classical computing resource power-law scales with many design space models. This observation suggests classical computing may not be capable of modelling our future design space needs.To meet future design space modelling needs, this paper examines
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18

Ali, S. Twareque. "Stochastic localization, quantum mechanics on phase space and quantum space-time." La Rivista Del Nuovo Cimento Series 3 8, no. 11 (1985): 1–128. http://dx.doi.org/10.1007/bf02724482.

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19

Fioresi, Rita, María A. Lledó, and Junaid Razzaq. "Quantum Chiral Superfields." Journal of Physics: Conference Series 2531, no. 1 (2023): 012015. http://dx.doi.org/10.1088/1742-6596/2531/1/012015.

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Abstract We define the ordinary Minkowski space inside the conformal space according to Penrose and Manin as homogeneous spaces for the Poincaré and conformal group respectively. We realize the supersymmetric (SUSY) generalizations of such homogeneous spaces over the complex and the real fields. We finally investigate chiral (antichiral) superfields, which are superfields on the super Grassmannian, Gr(2|1, 4|1), respectively on Gr(2|0, 4|1). They ultimately give the twistor coordinates necessary to describe the conformal superspace as the flag Fl(2|0, 2|1; 4|1) and the Minkowski superspace as
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20

Chew, Chuan Sheng, Otto C. W. Kong, and Jason Payne. "A Quantum Space behind Simple Quantum Mechanics." Advances in High Energy Physics 2017 (2017): 1–9. http://dx.doi.org/10.1155/2017/4395918.

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In physics, experiments ultimately inform us about what constitutes a good theoretical model of any physical concept: physical space should be no exception. The best picture of physical space in Newtonian physics is given by the configuration space of a free particle (or the center of mass of a closed system of particles). This configuration space (as well as phase space) can be constructed as a representation space for the relativity symmetry. From the corresponding quantum symmetry, we illustrate the construction of a quantum configuration space, similar to that of quantum phase space, and r
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21

Lu, Y. G. "On the interacting Free Fock space and the deformed Wigner law." Nagoya Mathematical Journal 145 (March 1997): 1–28. http://dx.doi.org/10.1017/s0027763000006097.

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The Fock space is a basic structure for the quantum field theory and quantum stochastic calculus. In all the cases, a Fock space can be described as a direct sum of a sequence of some Hilbert spaces, i.e. a Fock space has the form of , where, is the complex field and is a given Hilbert space.
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22

Gambini, Rodolfo, and Jorge Pullin. "Quantum shells in a quantum space-time." Classical and Quantum Gravity 32, no. 3 (2015): 035003. http://dx.doi.org/10.1088/0264-9381/32/3/035003.

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23

Frenkel, Igor B., and Hyun Kyu Kim. "Quantum Teichmüller space from the quantum plane." Duke Mathematical Journal 161, no. 2 (2012): 305–66. http://dx.doi.org/10.1215/00127094-1507390.

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24

Pandya, Shivani R. "Nanotechnology's Quantum Leap: Illuminating the Future of Space Exploration." Nanomedicine & Nanotechnology Open Access 8, no. 3 (2023): 1–2. http://dx.doi.org/10.23880/nnoa-16000253.

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In the vast expanse of the cosmos, where the intersection of human knowledge and the universe’s mysteries takes place, nanotechnology has emerged as a guiding star, propelling space exploration into a new era. As we peer beyond our earthly confines, the fusion of nanotechnology with space research promises groundbreaking possibilities, reshaping our understanding of the cosmos and propelling us towards uncharted horizons.
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25

Hu, Zixuan, and Sabre Kais. "The Quantum Condition Space." Advanced Quantum Technologies 5, no. 4 (2022): 2100158. http://dx.doi.org/10.1002/qute.202100158.

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26

Liorni, Carlo, Hermann Kampermann, and Dagmar Bruß. "Quantum repeaters in space." New Journal of Physics 23, no. 5 (2021): 053021. http://dx.doi.org/10.1088/1367-2630/abfa63.

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27

Belenchia, Alessio, Matteo Carlesso, Ömer Bayraktar, et al. "Quantum physics in space." Physics Reports 951 (March 2022): 1–70. http://dx.doi.org/10.1016/j.physrep.2021.11.004.

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28

Jennewein, Thomas, and Brendon Higgins. "The quantum space race." Physics World 26, no. 03 (2013): 52–56. http://dx.doi.org/10.1088/2058-7058/26/03/37.

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29

Banks, Michael. "The quantum space race." Physics World 32, no. 1 (2019): 10. http://dx.doi.org/10.1088/2058-7058/32/1/15.

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30

Jakimowicz, Grzegorz, and Anatol Odzijewicz. "Quantum complex Minkowski space." Journal of Geometry and Physics 56, no. 9 (2006): 1576–99. http://dx.doi.org/10.1016/j.geomphys.2005.08.004.

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31

Chung, Won‐Sang. "Quantum Z3‐graded space." Journal of Mathematical Physics 35, no. 5 (1994): 2497–504. http://dx.doi.org/10.1063/1.530519.

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32

Meyers, Ronald, and Keith Deacon. "Space-Time Quantum Imaging." Entropy 17, no. 3 (2015): 1508–34. http://dx.doi.org/10.3390/e17031508.

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33

Fock, V. V., and L. O. Chekhov. "A quantum Teichmüller space." Theoretical and Mathematical Physics 120, no. 3 (1999): 1245–59. http://dx.doi.org/10.1007/bf02557246.

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34

Błaszak, Maciej, and Ziemowit Domański. "Phase space quantum mechanics." Annals of Physics 327, no. 2 (2012): 167–211. http://dx.doi.org/10.1016/j.aop.2011.09.006.

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35

Watrous, John. "Space-Bounded Quantum Complexity." Journal of Computer and System Sciences 59, no. 2 (1999): 281–326. http://dx.doi.org/10.1006/jcss.1999.1655.

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36

Dunn, J. Michael, Tobias J. Hagge, Lawrence S. Moss, and Zhenghan Wang. "Quantum logic as motivated by quantum computing." Journal of Symbolic Logic 70, no. 2 (2005): 353–59. http://dx.doi.org/10.2178/jsl/1120224716.

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§1. Introduction. Our understanding of Nature comes in layers, so should the development of logic. Classic logic is an indispensable part of our knowledge, and its interactions with computer science have recently dramatically changed our life. A new layer of logic has been developing ever since the discovery of quantum mechanics. G. D. Birkhoff and von Neumann introduced quantum logic in a seminal paper in 1936 [1]. But the definition of quantum logic varies among authors (see [2]). How to capture the logic structure inherent in quantum mechanics is very interesting and challenging. Given the
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37

CASSINELLI, GIANNI, and PEKKA LAHTI. "A THEOREM OF SOLÉR, THE THEORY OF SYMMETRY AND QUANTUM MECHANICS." International Journal of Geometric Methods in Modern Physics 09, no. 02 (2012): 1260005. http://dx.doi.org/10.1142/s0219887812600055.

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A classical problem in axiomatic quantum mechanics is deducing a Hilbert space realization for a quantum logic that admits a vector space coordinatization of the Piron–McLaren type. Our aim is to show how a theorem of M. Solér [Characterization of Hilbert spaces by orthomodular spaces, Comm. Algebra23 (1995) 219–243.] can be used to get a (partial) solution of this problem. We first derive a generalization of the Wigner theorem on symmetry transformations that holds already in the Piron–McLaren frame. Then we investigate which conditions on the quantum logic allow the use of Solér's theorem in
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38

AMELINO-CAMELIA, GIOVANNI, NICCOLÒ LORET, GIANLUCA MANDANICI, and FLAVIO MERCATI. "GRAVITY IN QUANTUM SPACE–TIME." International Journal of Modern Physics D 19, no. 14 (2010): 2385–92. http://dx.doi.org/10.1142/s0218271810018451.

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The literature on quantum-gravity-inspired scenarios for the quantization of space–time has so far focused on particle-physics-like studies. This is partly justified by the present limitations of our understanding of quantum gravity theories, but we here argue that valuable insight can be gained through semi-heuristic analyses of the implications for gravitational phenomena of some results obtained in the quantum space–time literature. In particular, we show that the types of description of particle propagation that emerged in certain quantum space–time frameworks have striking implications fo
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39

Majid, Shahn, and Martin Markl. "Glueing operation for R-matrices, quantum groups and link-invariants of Hecke type." Mathematical Proceedings of the Cambridge Philosophical Society 119, no. 1 (1996): 139–66. http://dx.doi.org/10.1017/s0305004100074041.

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AbstractWe introduce an associative glueing operation ⊕q on the space of solutions of the Quantum Yang–Baxter Equations of Hecke type. The corresponding glueing operations for the associated quantum groups and quantum vector spaces are also found. The former involves 2×2 quantum matrices whose entries are themselves square or rectangular quantum matrices. The corresponding glueing operation for link-invariants is introduced and involves a state-sum model with Boltzmann weights determined by the link invariants to be glued. The standard su(n) solution, its associated quantum matrix group, quant
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40

ALAVI, S. A. "SCATTERING IN NONCOMMUTATIVE QUANTUM MECHANICS." Modern Physics Letters A 20, no. 13 (2005): 1013–20. http://dx.doi.org/10.1142/s021773230501697x.

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We derive the correction due to noncommutativity of space on Born approximation, then the correction for the case of Yukawa potential is explicitly calculated. The correction depends on the angle of scattering. Using partial wave method, it is shown that the conservation of the number of particles in elastic scattering is also valid in noncommutative spaces which means that the unitarity relation is held in noncommutative spaces. We also show that the noncommutativity of space has no effect on the optical theorem. Finally we study Gaussian function potential in noncommutative spaces which gene
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41

Sinaiko, Elia A. "Quantum gravity." Physics Essays 32, no. 3 (2019): 318–22. http://dx.doi.org/10.4006/0836-1398-32.3.318.

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Gravity has been shown in theories of relativity to be the curving of space around massive bodies. Thus, objects in orbits are following a straight line along a curved space. Why massive bodies curve space is not explained. We continue to ask “What is Gravity?” Quantum mechanics unites theories of electro-magnetism (QED), the weak nuclear force (EWT), and the strong nuclear force (QCD) in the standard model of particle physics, or with a grand unified theory (GUT) sought for these three fundamental forces. As yet there is no empirically verified quantum theory of gravity unified with these thr
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42

BLOHMANN, CHRISTIAN. "PERTURBATIVE SYMMETRIES ON NONCOMMUTATIVE SPACES." International Journal of Modern Physics A 19, no. 32 (2004): 5693–706. http://dx.doi.org/10.1142/s0217751x04021238.

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Perturbative deformations of symmetry structures on noncommutative spaces are studied in view of noncommutative quantum field theories. The rigidity of enveloping algebras of semisimple Lie algebras with respect to formal deformations is reviewed in the context of star products. It is shown that rigidity of symmetry algebras extends to rigidity of the action of the symmetry on the space. This implies that the noncommutative spaces considered can be realized as star products by particular ordering prescriptions which are compatible with the symmetry. These symmetry preserving ordering prescript
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43

ZUMINO, BRUNO. "DEFORMATION OF THE QUANTUM MECHANICAL PHASE SPACE WITH BOSONIC OR FERMIONIC COORDINATES." Modern Physics Letters A 06, no. 13 (1991): 1225–35. http://dx.doi.org/10.1142/s0217732391001305.

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We describe the one-parameter deformation of the phase space of a quantum mechanical system and show that this twisted phase space is covariant under the action of the symplectic quantum group. The analogous case of a system with fermionic coordinates is also considered and the phase space is shown to be covariant under the action of the orthogonal quantum group. Twisted commutation relations occur in the description of deformed spaces or superspaces as well as in the formulation of field theories with generalized statistics. The many-parameter case is briefly discussed.
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44

Govaerts, Jan. "Noncommutativity in Configuration Space Induced by a Conjugate Magnetic Field in Phase Space." Mathematics 12, no. 2 (2024): 180. http://dx.doi.org/10.3390/math12020180.

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An external magnetic field in configuration space coupled to quantum dynamics induces noncommutativity in its velocity momentum space. By phase space duality, an external vector potential in the conjugate momentum sector of the system induces noncommutativity in its configuration space. Such a rationale for noncommutativity is explored herein for an arbitrary configuration space of Euclidean geometry. Ordinary quantum mechanics with a commutative configuration space is revisited first. Through the introduction of an arbitrary positive definite *-product, a one-to-one correspondence between the
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45

ISIDRO, JOSÉ M. "A QUANTUM IS A COMPLEX STRUCTURE ON CLASSICAL PHASE SPACE." International Journal of Geometric Methods in Modern Physics 02, no. 04 (2005): 633–55. http://dx.doi.org/10.1142/s0219887805000673.

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Duality transformations within the quantum mechanics of a finite number of degrees of freedom can be regarded as the dependence of the notion of a quantum, i.e., an elementary excitation of the vacuum, on the observer on classical phase space. Under an observer we understand, as in general relativity, a local coordinate chart. While classical mechanics can be formulated using a symplectic structure on classical phase space, quantum mechanics requires a complex-differentiable structure on that same space. Complex-differentiable structures on a given real manifold are often not unique. This arti
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46

Curtright, Thomas L., and Cosmas K. Zachos. "Quantum Mechanics in Phase Space." Asia Pacific Physics Newsletter 01, no. 01 (2012): 37–46. http://dx.doi.org/10.1142/s2251158x12000069.

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Ever since Werner Heisenberg's 1927 paper on uncertainty, there has been considerable hesitancy in simultaneously considering positions and momenta in quantum contexts, since these are incompatible observables. But this persistent discomfort with addressing positions and momenta jointly in the quantum world is not really warranted, as was first fully appreciated by Hilbrand Groenewold and José Moyal in the 1940s. While the formalism for quantum mechanics in phase space was wholly cast at that time, it was not completely understood nor widely known — much less generally accepted — until the lat
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47

Iorio, A., and L. Smaldone. "Classical space from quantum condensates." Journal of Physics: Conference Series 2533, no. 1 (2023): 012030. http://dx.doi.org/10.1088/1742-6596/2533/1/012030.

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Abstract We review the boson transformation method to deal with spontaneous symmetry breaking in quantum field theory, focussing on how it describes the emergence of extended and classical objects in such quantum context. We then apply the method to the emergence of space itself, as an extended and classical object resulting from the evaporation of a quantum black hole. In particular, we show how classical torsion and curvature tensors can emerge as effects of an inhomogeneous Nambu–Goldstone boson condensation in vacuum, in E(3) invariant spinor models with symmetry breaking.
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48

ISIDRO, JOSÉ M. "QUANTUM-MECHANICAL DUALITIES ON THE TORUS." Modern Physics Letters A 19, no. 23 (2004): 1733–44. http://dx.doi.org/10.1142/s0217732304014860.

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On classical phase spaces admitting just one complex-differentiable structure, there is no indeterminacy in the choice of the creation operators that create quanta out of a given vacuum. In these cases the notion of a quantum is universal, i.e. independent of the observer on classical phase space. Such is the case in all standard applications of quantum mechanics. However, recent developments suggest that the notion of a quantum may not be universal. Transformations between observers that do not agree on the notion of an elementary quantum are called dualities. Classical phase spaces admitting
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49

Buot, Felix A. "Operator Space and Discrete Phase Space Methods in Quantum Transport and Quantum Computing." Journal of Computational and Theoretical Nanoscience 6, no. 8 (2009): 1864–926. http://dx.doi.org/10.1166/jctn.2009.1247.

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50

Spaniol, Ednardo Paulo, Ronni Geraldo Gomes Amorim, and Sergio Costa Ulhoa. "On the Hilbert Space in Quantum Gravity." Universe 8, no. 8 (2022): 413. http://dx.doi.org/10.3390/universe8080413.

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This article deals with the fractional problem of Sturm–Liouville and the Hilbert space associated with the solutions of this differential equation. We apply a quantization procedure to Schwarzschild space–time and obtain a fractional differential equation. The Hilbert space for these solutions is established. We used equations arising from quantization for the FRW and Reissner–Nordstron metrics to build the respective Hilbert spaces.
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