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Phys. Rev. Lett. 85, 3520–3523 (2000)

Dynamical Generation of Noiseless Quantum Subsystems

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Lorenza Viola1,*, Emanuel Knill2, and Seth Lloyd1
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 25 February 2000; published in the issue dated 16 October 2000

We combine dynamical decoupling and universal control methods for open quantum systems with coding procedures. By exploiting a general algebraic approach, we show how appropriate encodings of quantum states result in obtaining universal control over dynamically generated noise-protected subsystems with limited control resources. In particular, we provide a constructive scheme based on two-body Hamiltonians for performing universal quantum computation over large noiseless spaces which can be engineered in the presence of arbitrary linear quantum noise.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.85.3520
DOI:
10.1103/PhysRevLett.85.3520
PACS:
03.67.Lx, 05.30.-d, 89.70.+c, 05.40.Ca

*Electronic address: vlorenza@mit.edu