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Collapses interrupt or outright replace the unitary evolution of the quantum state.
Then, we make use of the Trotter expansion [2 4] to decompose the unitary evolution of the simulated system in a sequence of quantum gates.
Although many, such as Robert Hilborn (1994, 549 569), have argued that the unitary evolution of quantum systems makes SDIC impossible for quantum mechanics, these arguments do not take into account that interacting quantum systems typically have nonseparable Hamiltonians.
Modulo some philosophical concerns about the meaning of time reversal (Albert 2000, Callender 2000, Earman 2002), the equation governing the unitary evolution of the quantum state is time reversal invariant.
The question of whether black hole evolution is unitary raises the issue of how the unitary evolution of standard quantum mechanics serves to guarantee that no experiment can reveal a violation of energy conservation or of microcausality.
In Figure 9, we show a plot of these populations considering a perfect unitary evolution of the Fermi-Hubbard model versus the evolution associated with the digital decomposition, where l is the number of Trotter steps.
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Expressions for the energy eigenvalues and eigenvectors are derived, and an exact representation for the time-dependent unitary evolution operator of the system is given, by means of which we analyze the analytic form of the fluorescence spectrum using the transitions among the dressed states of the system.
Trends in the comparative study of religions have retained the interest in morphology but have decisively rejected the almost universal 19th-century assumption of unitary evolution in the history of religion.
Therefore, one may feel compelled to use digital methods for implementing unnatural interactions in the controllable system, based on the decomposition of the exact unitary evolution into a sequence of discrete gates [2].
In this paper, we give an algorithm for the control of the unitary evolution operator for the system of two spin 12's interacting through Heisenberg interaction.
Thus once the black hole has completely evaporated away, the entropy of the universe will have increased — in violation of unitary evolution).
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