Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Computing Without Wavefunctions: Time-Dependent Density
  Functional Theory for Universal Quantum Computation   We prove that the theorems of TDDFT can be applied to a class of qubit
Hamiltonians that are universal for quantum computation. The theorems of TDDFT
applied to universal Hamiltonians imply that single-qubit expectation values
can be used as the basic variables in quantum computation and information
theory, rather than wavefunctions. From a practical standpoint this opens the
possibility of approximating observables of interest in quantum computations
directly in terms of single-qubit quantities (i.e. as density functionals).
Additionally, we also demonstrate that TDDFT provides an exact prescription for
simulating universal Hamiltonians with other universal Hamiltonians that have
different, and possibly easier-to-realize two-qubit interactions.

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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
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The categories of this paper are: plasm-ph
2
The categories of this paper are: math
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The categories of this paper are: math-ph
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The categories of this paper are: funct-an
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The categories of this paper are: atom-ph
1
The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: mtrl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: stat