On Quantum Control via Encoded Dynamical Decoupling

Abstract

I revisit the ideas underlying dynamical decoupling methods within the framework of quantum information processing, and examine their potential for direct implementations in terms of encoded rather than physical degrees of freedom. The usefulness of encoded decoupling schemes as a tool for engineering both closed- and open-system encoded evolutions is investigated based on simple examples.

12 pages, no figures; REVTeX style. This note collects various theoretical considerations complementing/motivated by the experimental demonstration of encoded control by Fortunato et al

References in corpus (3)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Design of Strongly Modulating Pulses to Implement Precise Effective Hamiltonians for Quantum Information Processing
• Implementation of Universal Control on a Decoherence-Free Qubit

Cited by in corpus (59)

• Unification of Dynamical Decoupling and the Quantum Zeno Effect
• Decoherence-Free Subspaces and Subsystems
• Robust dynamical decoupling with bounded controls
• Quantum Computing with NMR
• Random decoupling schemes for quantum dynamical control and error suppression
• Exact Results on Dynamical Decoupling by $\pi$-Pulses in Quantum Information Processes
• Dynamical decoupling for superconducting qubits: a performance survey
• Dynamical Quantum Error Correction of Unitary Operations with Bounded Controls
• From pulses to circuits and back again: A quantum optimal control perspective on variational quantum algorithms
• Dynamical Decoupling Using Slow Pulses: Efficient Suppression of 1/f Noise
• Engineering Atomic Quantum Reservoirs for Photons
• Multipulse Control of Decoherence
• Protection of quantum systems by nested dynamical decoupling
• Universal Leakage Elimination
• Enhanced Convergence and Robust Performance of Randomized Dynamical Decoupling
• Empirical Determination of Bang-Bang Operations
• Dynamical control of qubit coherence: Random versus deterministic schemes
• Experimental Implementation of a Concatenated Quantum Error-Correcting Code
• Advances in decoherence control
• Rigorous Bounds on the Performance of a Hybrid Dynamical Decoupling-Quantum Computing Scheme
• Self-Correcting Quantum Many-Body Control using Reinforcement Learning with Tensor Networks
• Overview of Quantum Error Prevention and Leakage Elimination
• Principles of Control for Decoherence-Free Subsystems
• Quantum Zeno Dynamics from General Quantum Operations
• Encoded Recoupling and Decoupling: An Alternative to Quantum Error Correcting Codes, Applied to Trapped Ion Quantum Computation
• Exploring Noiseless Subsystems via Nuclear Magnetic Resonance
• One bound to rule them all: from Adiabatic to Zeno
• Advantages of Randomization in Coherent Quantum Dynamical Control
• Generation of quantum logic operations from physical Hamiltonians
• Fault-Tolerant Quantum Computation via Exchange interactions
• Single-bit Feedback and Quantum Dynamical Decoupling
• Universal Fault-Tolerant Quantum Computation in the Presence of Spontaneous Emission and Collective Dephasing
• Universal quantum control in irreducible state-space sectors: application to bosonic and spin-boson systems
• Soft-Pulse Dynamical Decoupling with Markovian Decoherence
• Universal control of quantum subspaces and subsystems
• Pointer States via Engineered Dissipation
• Experimental Implementation of Logical Bell State Encoding
• Effect of system level structure and spectral distribution of the environment on the decoherence rate
• Combined Error Correction Techniques for Quantum Computing Architectures
• Universal set of scalable dynamically corrected gates for quantum error correction with always-on qubit couplings
• Implications of Qudit Superselection rules for the Theory of Decoherence-free Subsystems
• Hamiltonian quantum simulation with bounded-strength controls
• Universal Control Induced by Noise
• Two Qubit Quantum Computing in a Projected Subspace
• Unification of Random Dynamical Decoupling and the Quantum Zeno Effect
• Compatible Transformations for a Qudit Decoherence-free/Noiseless Encoding
• Dynamically corrected gates for qubits with always-on Ising couplings: Error model and fault-tolerance with the toric code
• Subsystem Pseudo-pure States
• Quantitative Treatment of Decoherence
• Quantum Computers and Decoherence: Exorcising the Demon from the Machine
• Control of decoherence in open quantum systems using feedback
• Optimal generation of single-qubit operation from an always-on interaction by algebraic decoupling
• Efficiency of Dynamical Decoupling for (Almost) Any Spin-Boson Model
• Bath Dynamical Decoupling with a Quantum Channel
• Universal set of Dynamically Protected Gates for Bipartite Qubit Networks II: Soft Pulse Implementation of the [[5,1,3]] Quantum Error Correcting Code
• Overcoming disorder in superconducting globally driven quantum computing
• Randomized control of open quantum systems
• Quantum state driving: measurements versus pulses
• Cyclicity of interaction frame transformations