Quantum computing without wavefunctions: time-dependent density functional theory for universal quantum computation.

Scientific Reports
David G Tempel, Alán Aspuru-Guzik

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.

References

Oct 28, 1996·Physical Review Letters·J P PerdewM Ernzerhof
Jun 18, 1999·Science·P M Platzman, M I Dykman
Dec 1, 2000·Nature·D P DiVincenzoK B Whaley
Jan 22, 2002·Physical Review Letters·D A Lidar, L-A Wu
Jul 5, 2002·Physical Review Letters·Neepa T MaitraChris Woodward
Jul 15, 2003·Physical Review Letters·Simon C Benjamin, Sougato Bose
Dec 20, 2003·Physical Review Letters·Sougato Bose
Aug 25, 2004·Physical Review Letters·Steven R White, Adrian E Feiguin
Feb 6, 2008·The Journal of Chemical Physics·Roi Baer
Aug 7, 2008·The Journal of Chemical Physics·Yonghui Li, C A Ullrich
Sep 28, 2010·Physical Review Letters·A K RajamN T Maitra

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Citations

Apr 30, 2015·Journal of Physics. Condensed Matter : an Institute of Physics Journal·Michael RuggenthalerRobert van Leeuwen
Nov 23, 2012·Physical Chemistry Chemical Physics : PCCP·James Daniel WhitfieldAlán Aspuru-Guzik
Aug 14, 2020·Journal of Chemical Theory and Computation·James BrownJames D Whitfield

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Software Mentioned

TDDFT

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