Dynamical suppression of decoherence in two-state quantum systems

1998/03/20 by Lorenza Viola, Seth Lloyd · 16 citations
Computer Science · Mathematics · Physics and Astronomy · #Computer science #Control (management) #Control theory (sociology) #Decoherence-free subspaces #Hamiltonian (control theory) #Mathematics #Open quantum system #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Zeno effect #Quantum decoherence #Quantum dissipation #Quantum error correction #Quantum limit #Quantum mechanics #Quantum system #Statistical physics #quant-ph

paper · pdf · doi:10.1103/physreva.58.2733

15 pages, RevTeX style, 3 figures. Submitted to Phys. Rev. A

arxiv created 1998/03/20 · openalex publication_date 1998/10/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The dynamics of a decohering two-level system driven by a suitable control Hamiltonian is studied. The control procedure is implemented as a sequence of radio-frequency pulses that repetitively flip the state of the system, a technique that can be termed quantum ``bang-bang'' control after its classical analog. Decoherence introduced by the system's interaction with a quantum environment is shown to be washed out completely in the limit of continuous flipping and greatly suppressed provided the interval between the pulses is made comparable to the correlation time of the environment. The model suggests a strategy to fight against decoherence that complements existing quantum error-correction techniques.

Citations

• Maintaining coherence in quantum computers
• Capacities of Quantum Erasure Channels
• Distribution functions in physics: Fundamentals
• Pointer basis of quantum apparatus: Into what mixture does the wave packet collapse?
• A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound
• Quantum Logical Operations on Encoded Qubits
• Good Quantum Error-Correcting Codes Exist
• Dynamics of the dissipative two-state system
• Quantum computers and dissipation
• Quantum Computation

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• Rigorous bounds for optimal dynamical decoupling
• Retrieving qubit information despite decoherence
• Constrained Dynamics via the Zeno Effect in Quantum Simulation: Implementing Non-Abelian Lattice Gauge Theories with Cold Atoms
• Nonequilibrium dynamics of a system with quantum frustration
• Ultrafast optical rotations of electron spins in quantum dots
• Decoherence-free subspace and entanglement by interaction with a common squeezed bath
• Minimum-energy pulses for quantum logic cannot be shared
• Optimal state transfer of a single dissipative two-level system
• Fast Room-Temperature Phase Gate on a Single Nuclear Spin in Diamond
• Dynamical control of electron spin coherence in a quantum dot: A theoretical study
• Manipulation of the dynamics of many-body systems via quantum control methods
• Dynamical Suppression of Unwanted Transitions in Multistate Quantum Systems