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Geometry of Quantum Computation with Qudits
by
Wang, Xiaojun
, Luo, Ming-Xing
, Chen, Xiu-Bo
, Yang, Yi-Xian
in
639/705/1041
/ 639/766/483/481
/ Algorithms
/ Approximation
/ Circuits
/ Geometry
/ Humanities and Social Sciences
/ Laboratories
/ multidisciplinary
/ Science
2014
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Do you wish to request the book?
Geometry of Quantum Computation with Qudits
by
Wang, Xiaojun
, Luo, Ming-Xing
, Chen, Xiu-Bo
, Yang, Yi-Xian
in
639/705/1041
/ 639/766/483/481
/ Algorithms
/ Approximation
/ Circuits
/ Geometry
/ Humanities and Social Sciences
/ Laboratories
/ multidisciplinary
/ Science
2014
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Journal Article
Geometry of Quantum Computation with Qudits
2014
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Overview
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.
Publisher
Nature Publishing Group UK,Nature Publishing Group
Subject
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