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

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

2011-07-30

arxiv.org/abs/1108.0097v1

Physics

Quantum Physics

14 pages, 8 Figures

Scientific paper

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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