Nonperturbative Leakage Elimination Operators and Control of a Three-Level System

Abstract

Dynamical decoupling operations have been shown to reduce errors in quantum information processing. Leakage from an encoded subspace to the rest of the system space is a particularly serious problem for which leakage elimination operators (LEO) were introduced. These are a particular type of decoupling which are designed to eliminate such leakage errors. Here, we provide an analysis of non-ideal pulses, rather than the well-understood ideal pulses or bang-bang controls. We show that under realistic conditions for experiments these controls will provide protection from errors. Furthermore, we find that the effect of LEOs depends exclusively on the integral of the pulse sequence in the time domain with proper ratio of pulse duration time and its period. When these two key parameters are chosen within certain bounds, leakage errors of the open system (exemplified by a three-level system for the nitrogen-vacancy centers under external magnetic field) would be dramatically decreased. The results are illustrated by the fidelity dynamics of LEO sequences, ranging from regular rectangular pulses, random pulses and even disordered (noisy) pulses.

References in corpus (41)

• Dynamical Decoupling of Open Quantum Systems
• Dynamical suppression of decoherence in two-state quantum systems
• Dynamical decoupling and noise spectroscopy with a superconducting flux qubit
• Observation of coherent oscillation of a single nuclear spin and realization of a two-qubit conditional quantum gate
• Keeping a Quantum Bit Alive by Optimized $\pi$-Pulse Sequences
• Fault-Tolerant Quantum Dynamical Decoupling
• Quantum speed limits in open system dynamics
• Non-Markovian Quantum State Diffusion
• Strong magnetic coupling between an electronic spin qubit and a mechanical resonator
• Open system dynamics with non-Markovian quantum trajectories
• Using Parity Kicks for Decoherence Control
• The non-Markovian stochastic Schrodinger equation for open systems
• Robust dynamical decoupling with bounded controls
• Coupling Nitrogen Vacancy Centers in Diamond to Superconducting Flux Qubits
• Robust dynamical decoupling with concatenated continuous driving
• Stabilizing Quantum Information
• Low-frequency noise as a source of dephasing of a qubit
• Non-Gaussian low-frequency noise as a source of qubit decoherence
• Frictionless quantum quenches in ultracold gases: a quantum dynamical microscope
• High fidelity quantum gates via dynamical decoupling
• Non-Markovian Relaxation of a Three-Level System: Quantum Trajectory Approach
• Zeno effect for quantum computation and control
• Efficient Universal Leakage Elimination for Physical and Encoded Qubits
• High fidelity one-qubit operations under random telegraph noise
• Nonlinear coupling of nano mechanical resonators to Josephson quantum circuits
• Universal Leakage Elimination
• Spin Amplification for Magnetic Sensors Employing Crystal Defects
• Master Equation and Control of an Open Quantum System with Leakage
• Resonant cancellation of off-resonant effects in a multilevel qubit
• Entanglement between nitrogen vacancy spins in diamond controlled by a nanomechanical resonator
• Coupling spin ensembles via superconducting flux qubits
• One Component Dynamical Equation and Noise Induced Adiabaticity
• Suppression of Decoherence and Disentanglement by the Exchange Interaction
• Geometric phases and Bloch sphere constructions for SU(N), with a complete description of SU(4)
• Non-Perturbative Quantum Dynamical Decoupling
• Three-level spin system under decoherence-minimizing driving fields: Application to nitrogen-vacancy spin dynamics
• Inverse Engineering Control in Open Quantum Systems
• Complete time-dependent treatment of a three-level system
• Continuous Dynamical Decoupling with Bounded Controls
• Feshbach Projection Operator Partitioning for Quantum Open Systems: Stochastic Approach
• Random Control over Quantum Open Systems

Cited by in corpus (30)

• Optomechanical cooling in the non-Markovian regime
• Nonlocal magnon entanglement generation in coupled hybrid cavity systems
• Handling Leakage with Subsystem Codes
• Time-domain grating with a periodically driven qutrit
• Control relaxation via dephasing: an exact quantum state diffusion study
• Almost exact state transfer in a spin chain via pulse control
• An adiabatic Leakage Elimination Operator in experimental framework
• Dynamical invariants in non-Markovian quantum state diffusion equation
• Stochastic learning control of adiabatic speedup in a non-Markovian open qutrit system
• Purification and switching protocols for dissipatively stabilized entangled qubit states
• Quantum Langevin approach for non-Markovian quantum dynamics of the spin-boson model
• Entanglement distribution over quantum code-division-multiple-access networks
• An analytical double-unitary-transformation approach for strongly and periodically driven three-level systems
• Optically-mediated remote entanglement generation in magnon-cavity systems
• Preparing Greenberger-Horne-Zeilinger state on ground levels of neutral atoms
• Protection of Logical Qubits via Optimal State Transfers
• Geometric decoherence in diffusive open quantum systems
• Universal quantum control with dynamical correction
• Universal quantum control over bosonic network
• Tunable quantum interference effects in Floquet two- and three-level systems
• Accelerating quantum adiabatic evolution with $\pi$-pulse sequences
• Floquet dynamics of Rabi model beyond the counterrotating hybridized rotating wave method
• Jaynes-Cummings atoms coupled to a structured environment: Leakage elimination operators and the Petz recovery maps
• Influence of Random Telegraph Noise on Quantum Bit Gate Operation
• Universal quantum control over Majorana zero modes
• Quantum speed limits in dephasing dynamics of a qubit system coupled to thermal environments
• Nonperturbative leakage elimination for a logical qubit encoded in a mechanical oscillator
• Passive leakage removal unit based on a disordered transmon array
• Experimental implementation of leakage elimination operators
• Dark state with counter-rotating dissipative channels