Quantum operation, quantum Fourier transform and semi-definite programming

Details Quantum operation, quantum Fourier transform and semi-definite programming Quantum operation, quantum Fourier transform and semi-definite programming

2003-04-22

arxiv.org/abs/quant-ph/0304145v2

Phys. Lett. A 323(2004)48

Physics

Quantum Physics

16 pages

Scientific paper

10.1016/j.physleta.2004.01.045

We analyze a class of quantum operations based on a geometrical representation of $d-$level quantum system (or qudit for short). A sufficient and necessary condition of complete positivity, expressed in terms of the quantum Fourier transform, is found for this class of operations. A more general class of operations on qudits is also considered and its completely positive condition is reduced to the well-known semi-definite programming problem.

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