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Geometry of quantum computation with qudits.

ABSTRACT: The circuit complexity of quantum qubit system evolution as a primitive problem in quantum computation has been discussed widely. We investigate this problem in terms of qudit system. Using the Riemannian geometry the optimal quantum circuits are equivalent to the geodetic evolutions in specially curved parametrization of SU(d(n)). And the quantum circuit complexity is explicitly dependent of controllable approximation error bound.

SUBMITTER: Luo MX

PROVIDER: S-EPMC4070285 | biostudies-literature | 2014 Feb

REPOSITORIES: biostudies-literature

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Geometry of quantum computation with qudits.

Luo Ming-Xing MX Chen Xiu-Bo XB Yang Yi-Xian YX Wang Xiaojun X

Scientific reports 20140210

The circuit complexity of quantum qubit system evolution as a primitive problem in quantum computation has been discussed widely. We investigate this problem in terms of qudit system. Using the Riemannian geometry the optimal quantum circuits are equivalent to the geodetic evolutions in specially curved parametrization of SU(d(n)). And the quantum circuit complexity is explicitly dependent of controllable approximation error bound. ...[more]

PMID: 24509710

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