Randomized Dynamical Decoupling Techniques for Coherent Quantum Control

Abstract

The need for strategies able to accurately manipulate quantum dynamics is ubiquitous in quantum control and quantum information processing. We investigate two scenarios where randomized dynamical decoupling techniques become more advantageous with respect to standard deterministic methods in switching off unwanted dynamical evolution in a closed quantum system: when dealing with decoupling cycles which involve a large number of control actions and/or when seeking long-time quantum information storage. Highly effective hybrid decoupling schemes, which combine deterministic and stochastic features are discussed, as well as the benefits of sequentially implementing a concatenated method, applied at short times, followed by a hybrid protocol, employed at longer times. A quantum register consisting of a chain of spin-1/2 particles interacting via the Heisenberg interaction is used as a model for the analysis throughout.

7 pages, 2 figures. Replaced with final version. Invited talk delivered at the XXXVI Winter Colloquium on the Physics of Quantum Electronics, Snowbird, Jan 2006. To be published in J. Mod. Optics

References in corpus (23)

• Quantum Computation with Quantum Dots
• Dynamical Decoupling of Open Quantum Systems
• Dynamical suppression of decoherence in two-state quantum systems
• A simple formula for the average gate fidelity of a quantum dynamical operation
• Fault-Tolerant Quantum Dynamical Decoupling
• Randomizing quantum states: Constructions and applications
• Cavity cooling of a single atom
• Adaptive homodyne measurement of optical phase
• Random Quantum Circuits and Pseudo-Random Operators: Theory and Applications
• Decoherence can be useful in quantum walks
• Random decoupling schemes for quantum dynamical control and error suppression
• Feedback cooling of a nanomechanical resonator
• Creating Decoherence-Free Subspaces with Strong and Fast Pulses
• Implementation of Universal Control on a Decoherence-Free Qubit
• Enhanced Convergence and Robust Performance of Randomized Dynamical Decoupling
• Quantum error correction of coherent errors by randomization
• Can quantum chaos enhance stability of quantum computation?
• Dynamical control of qubit coherence: Random versus deterministic schemes
• Controlling quantum systems by embedded dynamical decoupling schemes
• Suppression of arbitrary internal coupling in a quantum register
• A solid-state NMR three-qubit homonuclear system for quantum information processing: control and characterization
• Selective recoupling and stochastic dynamical decoupling
• Tunneling from a correlated 2D electron system transverse to a magnetic field

Cited by in corpus (9)

• Long-time electron spin storage via dynamical suppression of hyperfine-induced decoherence in a quantum dot
• Rigorous Bounds on the Performance of a Hybrid Dynamical Decoupling-Quantum Computing Scheme
• Coherent Control of Quantum Dynamics with Sequences of Unitary Phase-Kick Pulses
• One bound to rule them all: from Adiabatic to Zeno
• Towards optimized suppression of dephasing in systems subject to pulse timing constraints
• Advantages of Randomization in Coherent Quantum Dynamical Control
• Unification of Random Dynamical Decoupling and the Quantum Zeno Effect
• Quantum phase estimation algorithm in presence of static imperfections
• Bath Dynamical Decoupling with a Quantum Channel