Magnetic Resonance Realization of Decoherence-Free Quantum Computation

2003/02/28 by Jason E. Ollerenshaw, Daniel A. Lidar, Lewis E. Kay · 7 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum-Dot Cellular Automata #quant-ph

paper · pdf · doi:10.1103/physrevlett.91.217904

published as Phys. Rev. Lett. 91, 217904 (2003) · 5 pages with 3 figures, revtex4, accepted by Physical Review Letters; v2 minor revisions to content

arxiv created 2003/09/24 · openalex publication_date 2003/11/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We report the realization, using nuclear magnetic resonance techniques, of the first quantum computer that reliably executes a complete algorithm in the presence of strong decoherence. The computer is based on a quantum error avoidance code that protects against a class of multiple-qubit errors. The code stores two decoherence-free logical qubits in four noisy physical qubits. The computer successfully executes Grover's search algorithm in the presence of arbitrarily strong engineered decoherence. A control computer with no decoherence protection consistently fails under the same conditions.

Citations

• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer

Cited by

• Holonomic Quantum Computation in Decoherence-Free Subspaces
• Optimal encoding of two dissipative interacting qubits
• Robust photonic entanglement distribution by state-independent encoding onto decoherence-free subspace
• Subsystem pseudopure states
• Effect of system level structure and spectral distribution of the environment on the decoherence rate
• Compatible transformations for a qudit decoherence-free/noiseless encoding
• Experimental Implementation of a Concatenated Quantum Error-Correcting Code

Related

• Decoherence, Control, and Symmetry in Quantum Computers
• Artificial Decoherence and its Suppression in NMR Quantum Computer
• Demonstrating Experimentally the Encoding and Dynamics of an Error-Correctable Logical Qubit on a Hyperfine-Coupled Nuclear Spin Qudit
• Effective error-suppression scheme for reversible quantum computer
• Order-of-magnitude extension of qubit lifetimes with a decoherence-free subspace quantum error correction code