Quantum Computing Without Wavefunctions: Time-Dependent Density Functional Theory for Universal Quantum Computation

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Quantum Computing Without Wavefunctions: Time-Dependent Density Functional Theory for Universal Quantum Computation

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Title: Quantum Computing Without Wavefunctions: Time-Dependent Density Functional Theory for Universal Quantum Computation
Author: Tempel, David Gabriel; Aspuru-Guzik, Alan

Note: Order does not necessarily reflect citation order of authors.

Citation: Tempel, David G., and Alán Aspuru-Guzik. 2012. Quantum computing without wavefunctions: Time-dependent density functional theory for universal quantum computation. Scientific Reports 2:391.
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Abstract: We prove that the theorems of TDDFT can be extended 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. This establishes the foundations of TDDFT for quantum computation and opens the possibility of developing density functionals for use in quantum algorithms.
Published Version: doi:10.1038/srep00391
Other Sources: http://www.ncbi.nlm.nih.gov/pubmed/22553483
Terms of Use: This article is made available under the terms and conditions applicable to Other Posted Material, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#LAA
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:10288449
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