[PDF] Top 20 Classical/Quantum=Commutative/Noncommutative?
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Classical/Quantum=Commutative/Noncommutative?
... of quantum (discrete) behaviour and it is at the heart of the whole ...contrast, classical mechanics is oftenly obtained as a semiclassical limit ~ → ...of quantum world in its opposition to the ... See full document
19
Observables and Dynamics Quantum to Classical from a Relativity Symmetry and Noncommutative Geometric Perspective
... non- commutative geometry [1] started to get more and more appreciation from phy- ...is quantum mechanics and a theory of geometrodynamics like Einstein general relativity ...[2]. Noncommutative ... See full document
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Title: General classical solutions in the noncommutative CP^(N-1) model
... (Strictly speaking it is an abuse of terminology to call z a vector since vector spaces are defined over a field, in which by definition multiplication is commutative. However, all the standard theorems and ... See full document
11
Unification of Commutative Relativity and Noncommutative Quantum Dynamics Via Cyclic Groupoids and Spacetime Fusion Categories
... of quantum mechanics, equivalent to the Hilbert-space operator representation, with star-multiplications that are isomorphically parallel operator multiplications (Curtright et ...expressing quantum ... See full document
7
Nonstandard quantum groups: twisting constructions and noncommutative differential geometry
... in quantum physics is to construct a quanti sation of a given classical ...the classical system in the Hamiltonian formalism where we deal with a manifold whose coordinates are position and momenta ... See full document
145
Noncommutative quantum mechanics in a time-dependent background
... A : We investigate a quantum mechanical system on a noncommutative space for which the structure constant is explicitly time-dependent. Any autonomous Hamil- tonian on such a space acquires a time-dependent ... See full document
22
Noncommutative complex geometry of quantum projective spaces
... canonical quantum line bundles on the quantum projective plane are ...the quantum homogeneous coordinate ring of CP q 2 as a twisted polynomial algebra in three ...the quantum projective ... See full document
105
CSIDH: An Efficient Post-Quantum Commutative Group Action
... Good mixing properties of the underlying isogeny graph are relevant for the security of isogeny-based cryptosystems. Just as in the original Couveignes– Rostovtsev–Stolbunov cryptosystem, in our case this graph is ... See full document
33
Reformulation of Relativistic Quantum Mechanics Equations with Non Commutative Sedeons
... Thus, in this paper we have presented the sixteen-com- ponent sedeons generating associative noncommutative space-time algebra. We proposed sedeonic second-order wave equation for massive field and demonstrated ... See full document
8
Fuzzy Geometry of Commutative Spaces and Quantum Dynamics
... The quantum-classical transition in such theory is essentially more simple, it’s just the transition from ˜ R 3 manifold to R 3 one, for which the classical particles correspond to ordered ... See full document
9
Explicit Phase Space Transformations and Their Application in Noncommutative Quantum Mechanics
... Abstract: We study a problem of transformations mapping noncommutative phase spaces into commutative ones. We find a simple way to obtain explicit formulas of such transformations in 3D and indicate matrix ... See full document
16
Hybrid Quantum Classical Key Distribution
... in the proposed protocol we are interested in determining the number of the parameters around the final keys. If the opponent knows one of the public keys this does not mean he can calculate the final key because he ... See full document
6
About Classical to Quantum Weyl Correspondence
... two quantum-mechanical states is their ...in quantum theory with which one can calculate in convenient way is the Hilbert-Schmidt distance determined by the Hilbert-Schmidt norm of the elements of the ... See full document
50
Emergence of Classical Localization in a Quantum World
... of classical localization in a quantum world has long been recognized as demonstrating an incompleteness of quantum ...for classical localization comes from decoherence ... See full document
20
The Classical Limit of the Quantum Kepler Problem
... appropriate quantum numbers become large ...the classical one when applied to the high energy ...the quantum probability ...The classical result for the probability distribution is recovered ... See full document
5
Entropy and Irreversibility in Classical and Quantum Mechanics
... a quantum superposition of collective states gradually are destroyed by interacting with sepa- rately flying atoms, which execute role of a certain cata- lytic ... See full document
14
Classical Proofs for the Quantum Collapsing Property of Classical Hash Functions
... various quantum circuits depicted; our proof (see Lemma 5 ) is a few ...specifying quantum reduction algorithms and arguing that they “do the job”, our proofs are almost entirely by means of ... See full document
24
Quantum and classical entropic uncertainty relations
... of quantum uncertainty Q(O,ρ) has a natural inter- pretation as a measure of the superpositions present in ρ with respect to the eigenbasis of O [18], and more recently has provided monotones within the resource ... See full document
9
Algebra of Classical and Quantum Binary Measurements
... Schwinger’s first paper “The Algebra of Microscopic Measurements” [1] de- scribes his measurement algebra. His measurements can be thought of as beam splitters where one is concerned with only one of the exits. The ... See full document
23
Classical Cryptographic Protocols in a Quantum World
... of Quantum Protocols. The first careful proofs of security of quantum protocols were for key ex- change (Mayers [57], Lo and Chau [53], Shor and Preskill [66], Beaver ...on quantum protocols for ... See full document
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