Non-Markovian noise that cannot be dynamically decoupled by periodic spin echo pulses

Abstract

Dynamical decoupling is the leading technique to remove unwanted interactions in a vast range of quantum systems through fast rotations. But what determines the time-scale of such rotations in order to achieve good decoupling? By providing an explicit counterexample of a qubit coupled to a charged particle and magnetic monopole, we show that such time-scales cannot be decided by the decay profile induced by the noise: even though the system shows a quadratic decay (a Zeno region revealing non-Markovian noise), it cannot be decoupled by periodic spin echo pulses, no matter how fast the rotations.

minor revision

References in corpus (5)

• Dynamical decoupling and noise spectroscopy with a superconducting flux qubit
• Universal dynamical decoupling of a single solid-state spin from a spin bath
• Optimized Dynamical Decoupling in a Model Quantum Memory
• A General Transfer-Function Approach to Noise Filtering in Open-Loop Quantum Control
• From Zeno to anti-Zeno: decoherence-control dependence on the quantum statistics of the bath

Cited by in corpus (8)

• Strong Error Bounds for Trotter & Strang-Splittings and Their Implications for Quantum Chemistry
• Extracting Quantum Dynamical Resources: Consumption of Non-Markovianity for Noise Reduction
• Control of quantum noise: on the role of dilations
• Operational Markovianization in Randomized Benchmarking
• Efficiency of Dynamical Decoupling for (Almost) Any Spin-Boson Model
• Ancilla-Assisted Protection of Information: Application to Atom-Cavity Systems
• Stability and convergence of dynamical decoupling with finite amplitude control
• Quantum non-Markovianity elusive to interventions