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Quantum science and technology

Quantum Systems with Variables in $$GF(p^e)$$

Apostol Vourdas

Published Jan 1, 2017• 0 citations
Publisher
DOI
10.1007/978-3-319-59495-8_9

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Physical Review A•Mar 19, 2021•20 citations
Quantum Systems with Variables in GF(pe)GF(p^e)GF(pe)
Quantum-Entangled Variable Drift (QEDD) presents a novel framework for quantifying and mitigating the effects of quantum entanglement on system behavior, particularly focusing on the 'drift' of variables across entangled pairs. Existing approaches often struggle with the complexities of entanglement, leading to unpredictable system behavior. This paper introduces a probabilistic model, the QEDD framework, that explicitly incorporates uncertainty inherent in entanglement, allowing for a more robust and predictive analysis of variable evolution. We demonstrate the framework's efficacy through a series of simulations, revealing a significant reduction in observed drift compared to traditional approaches. This work addresses a fundamental challenge in quantum systems – the inherent instability of entanglement – offering a pathway towards more stable and controllable quantum systems.
Quantum Systems with Variables in Z(d){\mathbb Z}(d)Z(d)
It is well known that quantum system can be translated to classic Hamilton system strictly. We have proven that phase variables of classic Hamiltonian can be described as the form of phase difference variables because quantum system is of gauge transformation. Using these independent variables of (pa,Qa) (a=1,… ,n-1) where pa is the probability amplitude of ath component of wave function and Qa is the phase difference between ath and nth component. Schrodinger equations can be described as Hamilton equations. Furthermore,it has been determined that the variables of probability amplitude and phase difference between ath and nth component are not canonical variables. For two dimension quantum system,as the transformation of phase difference unchanged,it can be tested that the couples variable ((pa-pn)/2,Qa) (a=1,n=2) are another canonical variable.
Simple Quantum Systems in 1{\textbf{1}}1 Space Dimension
A chip-based continous-variable quantum-key-distribution (CVQKD) system with a high practical confidentiality performance is crucial for constructing quantum metropolitan communication networks, but imperfections in the chip-based modulation will threaten the practical security of the chip-based CVQKD system. In this paper, we combine the plasma dispersion effect of free carriers to model the carrier fluctuations and reveal the essential mechanism of carrier fluctuations' influence on the system. The simulations show that the chip-based CVQKD system may face potential loophole threats or its performance will dramatically decrease under different carrier fluctuations. Moreover, two preliminary defense strategies are proposed to completely solve the practical security problems commonly induced by modulators in general chip-based CVQKD systems. This work proposes a set of modeling and analysis methods for general chip-based CVQKD systems' modulators, which provides constructive methods to build the chip-based CVQKD system with more rigorous practical security.