Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum speed limits for adiabatic evolution, Loschmidt echo and beyond   One often needs to estimate how fast an evolving state of a quantum system
can depart from some target state or target subspace of a Hilbert space. Such
estimates are known as quantum speed limits. We derive a quantum speed limit
for a general time-dependent target subspace. When the target subspace is an
instantaneous invariant subspace of a time-dependent Hamiltonian, the obtained
quantum speed limit bounds the adiabatic fidelity, which is a figure of merit
of quantum adiabaticity. We also compare two states evolving under two
different Hamiltonians and derive a bound on the Loschmidt echo.

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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-lat
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat