Decoherence and fidelity in ion traps with fluctuating trap parameters

Abstract

We consider two different kinds of fluctuations in an ion trap potential: external fluctuating electrical fields, which cause statistical movement (``wobbling'') of the ion relative to the center of the trap, and fluctuations of the spring constant, which are due to fluctuations of the ac-component of the potential applied in the Paul trap for ions. We write down master equations for both cases and, averaging out the noise, obtain expressions for the heating of the ion. We compare our results to previous results for far-off resonance optical traps and heating in ion traps. The effect of fluctuating external electrical fields for a quantum gate operation (controlled-NOT) is determined and the fidelity for that operation derived.

11 pages, 4 figures

References in corpus (5)

• Experimental issues in coherent quantum-state manipulation of trapped atomic ions
• Cooling the Collective Motion of Trapped Ions to Initialize a Quantum Register
• Decoherence in ion traps due to laser intensity and phase fluctuations
• The theory of heating of the quantum ground state of trapped ions
• Decoherence in nonclassical motional states of a trapped ion

Cited by in corpus (36)

• Quantum Decoherence
• Entangled Coherent State Qubits in an Ion Trap
• Large Quantum Delocalization of a Levitated Nanoparticle using Optimal Control: Applications for Force Sensing and Entangling via Weak Forces
• Theory for Cavity Cooling of Levitated Nanoparticles via Coherent Scattering: Master Equation Approach
• Measuring anomalous heating in a planar ion trap with variable ion-surface separation
• Coherent Inflation for Large Quantum Superpositions of Microspheres
• Macroscopic Quantum Superpositions via Dynamics in a Wide Double-Well Potential
• Resonant cancellation of off-resonant effects in a multilevel qubit
• Fast shuttling of a trapped ion in the presence of noise
• Sudden death and long-lived entanglement of two three-level trapped ions
• Generation of two-mode nonclassical motional states and a Fredkin gate operation in a two-dimensional ion trap
• Fast shuttling of a particle under weak spring-constant noise of the moving trap
• Stochastic Phase Space Localization for a Single Particle
• Entanglement sudden birth of two trapped ions interacting with a time-dependent laser field
• Quantum Zeno Effect in Trapped Ions
• Time-separated entangled light pulses from a single-atom emitter
• Decoherence in a single trapped ion due to engineered reservoir
• Motional effects of single trapped atomic/ionic qubit
• Engineering arbitrary motional ionic state through realistic intensity-fluctuating laser pulses
• Effective damping in the Raman cooling of trapped ions
• Wigner Analysis of Particle Dynamics and Decoherence in Wide Nonharmonic Potentials
• Effects of dynamical phases in Shor's factoring algorithm with operational delays
• Decoherence-Free Entropic Gravity: Model and Experimental Tests
• Quantum and classical chaos for a single trapped ion
• Decoherence in trapped ions due to polarization of the residual background gas
• Test of Causal Non-Linear Quantum Mechanics by Ramsey Interferometry on the Vibrational Mode of a Trapped Ion
• Inhibiting decoherence via ancilla processes
• Lindbladians for controlled stochastic Hamiltonians
• Possibility of detecting gravity of an object frozen in a spatial superposition by the Zeno effect
• Solution to Satisfiability problem by a complete Grover search with trapped ions
• Bespoke Pulse Design for Robust Rapid Two-Qubit Gates with Trapped Ions
• Dynamics of an Acoustic Black Hole as an Open Quantum System
• Decoherence and Loss of Entanglement in Acoustic Black Holes
• Delayed creation of entanglement in superconducting qubits interacting with a microwave field
• Simulation of the elementary evolution operator with the motional states of an ion in an anharmonic trap
• Maximally entangled mixed states of two atoms trapped inside an optical cavity