Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pure state thermodynamics with matrix product states   We extend the formalism of pure state thermodynamics to matrix product
states. In pure state thermodynamics finite temperature properties of quantum
systems are derived without the need of statistical mechanics ensembles, but
instead using typical properties of random pure states. We show that this
formalism can be useful from the computational point of view when combined with
tensor network algorithms. In particular, a recently introduced Monte Carlo
algorithm is considered which samples matrix product states at random for the
estimation of finite temperature observables. Here we characterize this
algorithm as an $(\epsilon, \delta)$-approximation scheme and we analytically
show that sampling one single state is sufficient to obtain a very good
estimation of finite temperature expectation values. These results provide a
substantial computational improvement with respect to similar algorithms for
one-dimensional quantum systems based on uniformly distributed pure states. The
analytical calculations are numerically supported simulating finite temperature
interacting spin systems of size up to 100 qubits.

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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
3
The categories of this paper are: physics
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin