Subsystem pseudopure states

P. Cappellaro, J. S. Hodges, T. F. Havel, and D. G. Cory
Phys. Rev. A 75, 042321 – Published 18 April 2007

Abstract

A critical step in experimental quantum information processing (QIP) is to implement control of quantum systems protected against decoherence via informational encodings, such as quantum error-correcting codes, noiseless subsystems, and decoherence-free subspaces. These encodings lead to the promise of fault-tolerant QIP, but they come at the expense of resource overheads. Part of the challenge in studying control over multiple logical qubits is that QIP testbeds have not had sufficient resources to analyze encodings beyond the simplest ones. The most relevant resources are the number of available qubits and the cost to initialize and control them. Here we demonstrate an encoding of logical information that permits control over multiple logical qubits without full initialization, an issue that is particularly challenging in liquid-state NMR. The method of subsystem pseudopure states will allow the study of decoherence control schemes on up to six logical qubits using liquid-state NMR implementations.

  • Figure
  • Received 5 November 2006

DOI:https://doi.org/10.1103/PhysRevA.75.042321

©2007 American Physical Society

Authors & Affiliations

P. Cappellaro*, J. S. Hodges, T. F. Havel, and D. G. Cory

  • Department of Nuclear Science and Engineering, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

  • *Present address: ITAMP, Harvard-Smithsonian Center for Astrophysics, Cambridge, Massachusetts 02138, USA.

See Also

Experimental implementation of a logical Bell state encoding

J. S. Hodges, P. Cappellaro, T. F. Havel, R. Martinez, and D. G. Cory
Phys. Rev. A 75, 042320 (2007)

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Vol. 75, Iss. 4 — April 2007

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