Persistence of Quantum Triality Relations in Open Qubit and Qutrit Systems

Fuente: arXiv
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Autores principales: Swain, Pratidhwani, Sarkar, Ramita, Tripathy, Sukanta K., Panigrahi, Prasanta K.
Formato: Preprint
Publicado: 2025
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author Swain, Pratidhwani
Sarkar, Ramita
Tripathy, Sukanta K.
Panigrahi, Prasanta K.
author_facet Swain, Pratidhwani
Sarkar, Ramita
Tripathy, Sukanta K.
Panigrahi, Prasanta K.
contents We examine the complementarity among coherence (visibility), predictability, and entanglement for qubit and qutrit systems subjected to noisy quantum channels. Using the system-path entanglement framework, analytical expressions for all three quantities are derived for two- and three-slit interferometric setups. The study first establishes the validity of the triality relation in ideal conditions and then investigates its behavior under amplitude and phase damping. We find that amplitude damping redistributes coherence and population imbalance without violating complementarity, while phase damping reduces coherence but leaves predictability unchanged. These results demonstrate that the complementarity relation remains preserved even in open quantum systems, highlighting its robustness against decoherence and providing a unified analytical understanding of noisy quantum interferometry in low-dimensional systems.
format Preprint
id arxiv_https___arxiv_org_abs_2511_23399
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Persistence of Quantum Triality Relations in Open Qubit and Qutrit Systems
Swain, Pratidhwani
Sarkar, Ramita
Tripathy, Sukanta K.
Panigrahi, Prasanta K.
Quantum Physics
Optics
We examine the complementarity among coherence (visibility), predictability, and entanglement for qubit and qutrit systems subjected to noisy quantum channels. Using the system-path entanglement framework, analytical expressions for all three quantities are derived for two- and three-slit interferometric setups. The study first establishes the validity of the triality relation in ideal conditions and then investigates its behavior under amplitude and phase damping. We find that amplitude damping redistributes coherence and population imbalance without violating complementarity, while phase damping reduces coherence but leaves predictability unchanged. These results demonstrate that the complementarity relation remains preserved even in open quantum systems, highlighting its robustness against decoherence and providing a unified analytical understanding of noisy quantum interferometry in low-dimensional systems.
title Persistence of Quantum Triality Relations in Open Qubit and Qutrit Systems
topic Quantum Physics
Optics
url https://arxiv.org/abs/2511.23399