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- W4381587246 abstract "If time is emergent, quantum system is entangled with quantum time as it evolves. If the system contains entanglement within itself, which we can call textit{internal entanglement} to distinguish it from the ``external time-system entanglement, the speed of evolution is enhanced. In this paper, we explore the insights of quantum time for the evolution of a system that contains two entangled qubits. We consider two cases: (1) two initially entangled qubits that evolve under local dynamics; (2) two interacting qubits such that entanglement between them is generated over time. In the first case, we obtain the main result that increasing internal entanglement speeds up the evolution and makes the system more entangled with time. In the second case, we show the dependence of time-system entanglement entropy on the distance of evolution which is characterized by fidelity. We compare the two cases with each other and find that two interacting qubits can evolve faster than two non-interacting qubits if the interaction is sufficiently strong, and thus they become entangled with time more efficiently. These results could be useful to gain new insights of quantum time into black hole evaporation or cosmological perturbations in an expanding Universe, since we also have an evolving entangled bipartite system in those cases." @default.
- W4381587246 created "2023-06-22" @default.
- W4381587246 creator A5053023981 @default.
- W4381587246 date "2023-06-20" @default.
- W4381587246 modified "2023-09-24" @default.
- W4381587246 title "Insights of quantum time into quantum evolution" @default.
- W4381587246 doi "https://doi.org/10.48550/arxiv.2306.11675" @default.
- W4381587246 hasPublicationYear "2023" @default.
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