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.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Luo MX,Chen XB,Yang YX,Wang X

doi

10.1038/srep04044

subject

Has Abstract

pub_date

2014-02-10 00:00:00

pages

4044

issn

2045-2322

pii

srep04044

journal_volume

4

pub_type

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