Qudit States in Noisy Quantum Channels

Abstract

In this work, we analyze a number of noisy quantum channels on a family of qudit states. The channels studied are the dit-flip noise, phase flip noise, dit-phase flip noise, depolarizing noise, non-Markovian Amplitude Damping Channel (ADC), dephasing noise, and depolarization noise. To gauge the effect of noise, the fidelity between the original and the final states is studied. The change of coherence under the action of noisy channels is also studied, both analytically and numerically. Our approach is advantageous as it has an explicit relation to the original approach to the multi-qubit hypergraph states.

arXiv commentThis is an updated version of our article "Quantum Hypergraph States in Noisy Quantum Channels". Also, it is a preprint of its published version

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Cited by in corpus (6)

• Dimensional advantage in secure information trading via the noisy dense coding protocol
• Discrete-Time Open Quantum Walks for Vertex Ranking in Graphs
• Exploring the Non-Markovian Dynamics in Depolarizing Maps
• Nonlinear protocol for high-dimensional quantum teleportation
• Resource-Efficient Teleportation of High-Dimensional Quantum Coherence via Initial Phase Engineering
• Quantum state transfer and periodicity in discrete-time quantum walks under non--Markovian dephasing noise