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A Classification of G-Charge Thouless Pumps in 1D Invertible States
Recently, a theory has been proposed that classifies cyclic processes of symmetry protected topological (SPT) quantum states. For the case of spin...
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New Additivity Properties of the Relative Entropy of Entanglement and Its Generalizations
We prove that the relative entropy of entanglement is additive when at least one of the two states belongs to some specific class. We show that these...
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A benchmarking study of quantum algorithms for combinatorial optimization
We study the performance scaling of three quantum algorithms for combinatorial optimization: measurement-feedback coherent Ising machines (MFB-CIM),...
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Calibration-independent bound on the unitarity of a quantum channel with application to a frequency converter
We report on a method to certify a unitary operation with the help of source and measurement apparatuses whose calibration throughout the...
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Entanglement of Vortices in the Ginzburg–Landau Equations for Superconductors
In 1988, Nelson proposed that neighboring vortex lines in high-temperature superconductors may become entangled with each other. In this article we...
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Solving Nonlinear Wave Equations Based on Barycentric Lagrange Interpolation
In this paper, we deeply study the high-precision barycentric Lagrange interpolation collocation method to solve nonlinear wave equations. Firstly,...
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A Robust Numerical Simulation of a Fractional Black–Scholes Equation for Pricing American Options
After the discovery of fractal structures of financial markets, fractional partial differential equations (fPDEs) became very popular in studying...
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Non-commutative phase–space of Schrödinger equation in the background of ISMK-CYP model: spectrum and thermodynamic properties
Within the framework of non-relativistic non-commutative phase–space, the new bound state approximate solution of the deformed Schrödinger equation...
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Map** of valley splitting by conveyor-mode spin-coherent electron shuttling
In Si/SiGe heterostructures, the low-lying excited valley state seriously limits the operability and scalability of electron spin qubits. For...
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The Schmidt Rank for the Commuting Operator Framework
In quantum information theory, the Schmidt rank is a fundamental measure for the entanglement dimension of a pure bipartite state. Its natural...
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Tunable magnomechanically induced transparency and slow–fast light propagation in a hybrid cavity magnomechanical system
We theoretically investigate the tunability of magnomechanically induced transparency (MMIT) phenomenon and slow–fast light propagation in a hybrid...
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Cohomology Chambers on Complex Surfaces and Elliptically Fibered Calabi–Yau Three-Folds
We determine several classes of smooth complex projective surfaces on which Zariski decomposition can be combined with vanishing theorems to yield...
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Dynamics, locality and weak measurements: trajectories and which-way information in the case of a simplified double-slit setup
Understanding how the interference pattern produced by a quantum particle in Young’s double-slit setup builds up—the “only mystery” of quantum...
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Quantum variations of cyclotomic cosets for cyclic stabiliser codes construction
Cyclotomic cosets are intrinsically linked with the design and construction of classical cyclic codes whose properties can be inferred from the coset...
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Majorization-based benchmark of the complexity of quantum processors
Here, we propose the use of the majorization-based indicator for quantum computation complexity introduced in Vallejos et al. (Phys. Rev. A...
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Quantification of entanglement and coherence with purity detection
Entanglement and coherence are fundamental properties of quantum systems, promising to power near-future quantum technologies, such as quantum...
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Multiparty sharing of quantum images based on product state of maximally entangled GHZ state
To share images securely in the network, this paper proposes a multiparty sharing of quantum images scheme based on the basic theory of quantum state...
