Efficiency of Dynamical Decoupling for (Almost) Any Spin-Boson Model
arXiv:2409.15743 · doi:10.21468/SciPostPhys.19.2.035
Abstract
Dynamical decoupling is a technique aimed at suppressing the interaction between a quantum system and its environment by applying frequent unitary operations on the system alone. In the present paper, we analytically study the dynamical decoupling of a two-level system coupled with a structured bosonic environment initially prepared in a thermal state. We find sufficient conditions under which dynamical decoupling works for such systems, and, most importantly, we find bounds for the convergence speed of the procedure. Our analysis is based on a new Trotter theorem for multiple Hamiltonians and involves a rigorous treatment of the evolution of mixed quantum states via unbounded Hamiltonians. A comparison with numerical experiments shows that our bounds reproduce the correct scaling in various relevant system parameters. Furthermore, our analytical treatment allows for quantifying the decoupling efficiency for boson baths with infinitely many modes, in which case a numerical treatment is unavailable.
71 pages, 4 figures, 1 table
References in corpus (42)
- Keeping a Quantum Bit Alive by Optimized -Pulse Sequences
- Fault-Tolerant Quantum Dynamical Decoupling
- How to Enhance Dephasing Time in Superconducting Qubits
- A Theory of Trotter Error
- Dynamical decoupling noise spectroscopy
- Robust dynamical decoupling with bounded controls
- Robust dynamical decoupling for quantum computing and quantum memory
- Spectroscopy of Surface-Induced Noise Using Shallow Spins in Diamond
- Dynamical decoupling sequence construction as a filter-design problem
- Exact Results on Dynamical Decoupling by -Pulses in Quantum Information Processes
- High fidelity quantum gates via dynamical decoupling
- Dynamical decoupling for superconducting qubits: a performance survey
- Preserving qubit coherence by dynamical decoupling
- Environmental noise spectroscopy with qubits subjected to dynamical decoupling
- Optimizing a Dynamical Decoupling Protocol for Solid-State Electronic Spin Ensembles in Diamond
- On Quantum Control via Encoded Dynamical Decoupling
- Dynamical Decoupling Using Slow Pulses: Efficient Suppression of 1/f Noise
- Fundamentals of Quantum Mechanics in Liouville Space
- Dynamical decoupling based quantum sensing: Floquet spectroscopy
- Dynamical decoupling sequences for multi-qubit dephasing suppression and long-time quantum memory
- Rigorous Bounds for Optimal Dynamical Decoupling
- Noise spectroscopy of a quantum-classical environment with a diamond qubit
- Optimally combining dynamical decoupling and quantum error correction
- One bound to rule them all: from Adiabatic to Zeno
- Multi-level Quantum Noise Spectroscopy
- Dynamical Decoupling of Unbounded Hamiltonians
- Quantum regression beyond the Born-Markov approximation for generalized spin-boson models
- Strong Error Bounds for Trotter & Strang-Splittings and Their Implications for Quantum Chemistry
- Quantum regression in dephasing phenomena
- Taming the Rotating Wave Approximation
- Self-Adjointness criterion for operators in Fock spaces
- Generalized spin-boson models with non-normalizable form factors
- Influence of dynamical decoupling sequences with finite-width pulses on quantum sensing for AC magnetometry
- SPAM-Robust Multi-axis Quantum Noise Spectroscopy in Temporally Correlated Environments
- Rigorous Performance Bounds for Quadratic and Nested Dynamical Decoupling
- The Jaynes-Cummings model and its descendants
- Suppression of decoherence in quantum registers by entanglement with a nonequilibrium environment
- Non-Markovian noise that cannot be dynamically decoupled by periodic spin echo pulses
- Self-adjointness of a class of multi-spin-boson models with ultraviolet divergences
- Can Quantum Markov Evolutions Ever Be Dynamically Decoupled?
- On the Liouville-von Neumann equation for unbounded Hamiltonians
- On Strong Bounds for Trotter and Zeno Product Formulas with Bosonic Applications