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- W2599262537 abstract "We consider the classical complexity of approximately simulating time evolution under spatially local quadratic bosonic Hamiltonians for time $t$. We obtain upper and lower bounds on the scaling of $t$ with the number of bosons, $n$, for which simulation, cast as a sampling problem, is classically efficient and provably hard, respectively. We view these results in the light of classifying phases of physical systems based on parameters in the Hamiltonian and conjecture a link to dynamical phase transitions. In doing so, we combine ideas from mathematical physics and computational complexity to gain insight into the behavior of condensed matter systems." @default.
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- W2599262537 date "2017-03-15" @default.
- W2599262537 modified "2023-09-23" @default.
- W2599262537 title "Complexity of sampling as an order parameter." @default.
- W2599262537 hasPublicationYear "2017" @default.
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