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Phys. Rev. Lett. 83, 4888–4891 (1999)

Universal Control of Decoupled Quantum Systems

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Lorenza Viola1,*, Seth Lloyd1,†, and Emanuel Knill2,‡
1d'Arbeloff Laboratory for Information Systems and Technology, Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
2Los Alamos National Laboratory, Los Alamos, New Mexico 87545

Received 14 June 1999; published in the issue dated 6 December 1999

We show that if one can perform a restricted set of fast manipulations on a quantum system, one can implement a large class of dynamical evolutions by effectively removing or introducing selected Hamiltonians. The procedure can be used to achieve universal noise-tolerant control based on purely unitary open-loop transformations of the dynamics. As a result, it is in principle possible to perform noise-protected universal quantum computation using no extra space resources.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.83.4888
DOI:
10.1103/PhysRevLett.83.4888
PACS:
03.67.Lx, 03.65.-w, 89.70.+c

*Email address: vlorenza@mit.edu

Email address: slloyd@mit.edu

Email address: knill@lanl.gov