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From Quantum Tori to Quantum Homogeneous Spaces
We construct dual objects for quantum complex projective spaces as quantum homogeneous spaces of quantum unitary groups, in which the deformation... -
An Intense Quantum of Deformation in the Deep Crust as Seen from Geomechanical Modeling in Southern California
AbstractA rapidly developing high-amplitude shear deformation anomaly in the upper crustal interval (at depths of up to 10 km), the so-called...
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Kontsevich’s Deformation Quantization and Quantum Field Theory
This book provides an introduction to deformation quantization and its relation to quantum field theory, with a focus on the constructions of... -
The deformation effects in isovalent doping of CdSe quantum dots with a multilayer shell for their biomedical applications
Due to the high quantum yield and the ability to preserve their optical properties for a long time, the CdSe quantum dots with a multilayer shell...
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Quantum cohomology as a deformation of symplectic cohomology
We prove that under certain conditions, the quantum cohomology of a positively monotone compact symplectic manifold is a deformation of the... -
Quantum and Classical Integrable Systems
The key concept discussed in these lectures is the relation between the Hamiltonians of a quantum integrable system and the Casimir elements in the... -
Quantum Field Theoretic Approach to Deformation Quantization
Kontsevich’s formula is in its nature a pure algebraic construction. However, the concept of deformation quantization should give a physical... -
Spin-Based Quantum Dot Quantum Computing
This chapter is an overview of the research on spin-based quantum dot quantum computation, which covers two most prominent architectures, one based... -
Open AdS/CFT via a double-trace deformation
A concrete model of extracting the physics from the bulk of a gravitational universe is important to the study of quantum gravity and its possible...
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Electron transport properties of graphene quantum dots with non-centro-symmetric Gaussian deformation
A theoretical investigation on electron transport properties of rectangular graphene quantum dots (GQDs) with non-centro-symmetric out-of-plane...
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Quantum cohomology as a deformation of symplectic cohomology
We prove that under certain conditions, the quantum cohomology of a positively monotone compact symplectic manifold is a deformation of the...
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An Optical Quantum Computer that Uses Both Quantum Logic Gate and Quantum Annealing
In conventional logic gate-based quantum computing, qubits have specific functions but require cryogenic temperatures. Quantum annealing-based... -
Wick-type deformation quantization of contact metric manifolds
We construct a Wick-type deformation quantization of contact metric manifolds. The construction is fully canonical and involves no arbitrary choice....
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Deformation Quantization
Deformation quantization was proposed at first by Dirac in (The Principles of Quantum Mechanics Oxford University Press, Oxford, 1930) in order to... -
Influence of quantum correction on the Schwarzschild black hole polarized image
Using a model of an accretion disk around a Schwarzschild black hole, the analytic estimates for image polarization were derived by Narayan et al....
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Tailoring Quantum Matter in the Second Quantum Revolution
Matter comes to us in many different forms, whose deep theoretical understanding and high experimental control is leading science into the so-called... -
Quantum Curvature as Key to the Quantum Universe
Curvature is a key notion in general relativity, characterizing the local physical properties of spacetime. By contrast, the concept of curvature has... -
Development of optimization method for truss structure by quantum annealing
In this study, we developed a new method of topology optimization for truss structures by quantum annealing. To perform quantum annealing analysis...
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Braided quantum electrodynamics
The homotopy algebraic formalism of braided noncommutative field theory is used to define the explicit example of braided electrodynamics, that is,...