Time-Fractional Evolution of Quantum Dense Coding Under Amplitude Damping Noise
Abstrak
In this paper, we investigate the memory effects introduced by the time-fractional Schrödinger equation proposed by Naber on quantum entanglement and quantum dense coding under amplitude damping noise. Two formulations are analyzed: one with fractional operations applied to the imaginary unit and one without. Numerical results show that the formulation without fractional operations on the imaginary unit may be more suitable for describing non-Markovian (power-law) behavior in dissipative environments. This finding provides a more physically meaningful interpretation of the memory effects in time-fractional quantum dynamics and indirectly addresses fundamental concerns regarding the violation of unitarity and probability conservation in such frameworks. Our work offers a new perspective for the application of fractional quantum mechanics to realistic open quantum systems and shows promise in supporting the theoretical modeling of decoherence and information degradation.
Topik & Kata Kunci
Penulis (5)
Chuanjin Zu
Baoxiong Xu
Hao He
Xiaolong Li
Xiangyang Yu
Akses Cepat
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Cek di sumber asli →- Tahun Terbit
- 2025
- Sumber Database
- DOAJ
- DOI
- 10.3390/fractalfract9080501
- Akses
- Open Access ✓