Universal quantum computation in decoherence-free subspaces with hot trapped ions

2007/05/31 by Leandro Aolita, L. Davidovich, Luiz Davidovich +2
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Computation #Computer science #Decoherence-free subspaces #Dephasing #Ion #Linear subspace #Mathematics #Parametrization (atmospheric modeling) #Physics #Pure mathematics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum computer #Quantum decoherence #Quantum mechanics #Quantum simulator #Qubit #Set (abstract data type) #Subspace topology #Universal set #quant-ph

paper · pdf · doi:10.1103/physreva.75.052337

published as Phys. Rev. A 75, 052337 (2007) · 8 pages, 1 figure

openalex publication_date 2007/05/31 · arxiv created 2007/06/01 · arxiv updated 2016/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider interactions that generate a universal set of quantum gates on logical qubits encoded in a collective-dephasing-free subspace, and discuss their implementations with trapped ions. This allows for the removal of the by-far largest source of decoherence in current trapped-ion experiments, collective dephasing. In addition, an explicit parametrization of all two-body Hamiltonians able to generate such gates without the system's state ever exiting the protected subspace is provided.

Citations

• Spin-Dependent Forces on Trapped Ions for Phase-Stable Quantum Gates and Entangled States of Spin and Motion
• Holonomic Quantum Computation in Decoherence-Free Subspaces
• Stabilization of Quantum Computations by Symmetrization
• A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound
• Long-Lived Qubit Memory Using Atomic Ions
• Quantum computers and dissipation
• Robust entanglement