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QRP: quantum reliability polynomial for stochastic reliability analysis of reversible circuits
The rapid growth of quantum computing is due to its ability to solve problems that cannot be solved using traditional computers. However, the...
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Multipartite standard nonlocality sharing by m-sided independent sequential observers
The sharing of quantum nonlocality has been the subject of much recent research for two-qubit and three-qubit entangled systems. In this paper, we...
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T-count and T-depth efficient fault-tolerant quantum arithmetic and logic unit
Quantum circuits are one of the best platforms to implement quantum algorithms. Concerning fault-tolerant quantum circuit, the Clifford + T gate set...
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Remote state preparation under fluctuating electromagnetic field
In this article, we introduce a remote state preparation scheme under fluctuating vacuum electromagnetic field in the presence of a perfectly...
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Entanglement and work statistics in the driven open system
We study the entanglement and work statistics in a two-qubit system under periodic driving. The regulation of periodic driving offers greater...
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Quantum conference key agreement based on differential-phase-shift quantum key distribution
A quantum conference key agreement (QCKA) protocol based on differential-phase-shift quantum key distribution is presented, which provides a common...
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Cryptographic enhancement of image data security through quantum-classical hybrid encryption with parameterized pixel ratios
To enhance the security of image data, this paper proposes a quantum-classical hybrid image encryption scheme based on parameterized pixel ratios....
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Phase transition of a continuous-time quantum walk on the half line
Quantum walks are referred to as quantum analogs to random walks in mathematics. They have been studied as quantum algorithms in quantum information...
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The summation and product forms of the uncertainty relations based on metric-adjusted skew information
Uncertainty principle is one of the most fundamental features in quantum mechanics and plays a significant role in quantum information processing. We...
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Parrondo’s game of quantum search based on quantum walk
The Parrondo game is a game where a combination of losing strategies becomes a winning strategy. This phenomenon is called the Parrondo paradox. The...
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The Weak Graded Lie 2-Algebra of Multiplicative Forms on a Quasi-Poisson Groupoid
We present a construction of weak graded Lie 2-algebras associated with quasi-Poisson groupoids. We also establish a morphism between this weak...
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Spectral Distribution of Twisted Laplacian on Typical Hyperbolic Surfaces of High Genus
We investigate the spectral distribution of the twisted Laplacian associated with uniform square-integrable bounded harmonic 1-form on typical...
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Wigner Analysis of Operators. Part II: Schrödinger Equations
We study the phase-space concentration of the so-called generalized metaplectic operators whose main examples are Schrödinger equations with bounded...
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Complexity of Quantum Circuits via Sensitivity, Magic, and Coherence
Quantum circuit complexity—a measure of the minimum number of gates needed to implement a given unitary transformation—is a fundamental concept in...
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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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Reliability Function of Quantum Information Decoupling via the Sandwiched Rényi Divergence
Quantum information decoupling is a fundamental quantum information processing task, which also serves as a crucial tool in a diversity of topics in...
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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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Group classification for one type of space-time fractional quasilinear parabolic equation
In this paper, we present the Lie symmetry analysis for the space-time fractional quasilinear parabolic equation. A group classification is then...
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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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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...
