Dissipative preparation of W states in trapped ion systems

Abstract

We present protocols for dissipative entanglement of three trapped-ion qubits and discuss a scheme that uses sympathetic cooling as the dissipation mechanism. This scheme relies on tailored destructive interference to generate any one of six entangled W states in a three-ion qubit space. Using a beryllium-magnesium ion crystal as an example system, we theoretically investigate the protocol's performance and the effects of likely error sources, including thermal secular motion of the ion crystal, calibration imperfections, and spontaneous photon scattering. We estimate that a fidelity of $\sim$ 98 % may be achieved in typical trapped ion experiments with $\sim$ 1 ms interaction time. These protocols avoid timescale hierarchies for faster preparation of entangled states.

Includes additional references

References in corpus (12)

• QuTiP 2: A Python framework for the dynamics of open quantum systems
• Scalable multi-particle entanglement of trapped ions
• An Open-System Quantum Simulator with Trapped Ions
• Dissipative preparation of entanglement in optical cavities
• Quantum harmonic oscillator state synthesis by reservoir engineering
• Classical and quantum communication without a shared reference frame
• Errors in trapped-ion quantum gates due to spontaneous photon scattering
• Quantum memories based on engineered dissipation
• Individual addressing of trapped ions and coupling of motional and spin states using rf radiation
• Sympathetic ground state cooling and time-dilation shifts in an ${}^{27}{\text{Al}}^{+}$ optical clock
• Dissipative preparation of steady Greenberger-Horne-Zeilinger states for Rydberg atoms with quantum Zeno dynamics
• Decoherence-free preparation of Dicke states of trapped ions by collective stimulated Raman adiabatic passage

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• Noncompletely Positive Quantum Maps Enable Efficient Local Energy Extraction in Batteries
• Steady-state entanglement generation for non-degenerate qubits
• Unified generation and fast emission of arbitrary single-photon multimode $W$ states
• Measurement-induced phase transitions in monitored infinite-range interacting systems
• Nonunitary Gate Operations by Dissipation Engineering
• Experimental realization of nonunitary multi-qubit operations
• Spreading entanglement through pairwise exchange interactions
• Absorbing state phase transitions beyond directed percolation in dissipative quantum state preparation
• Dissipative Preparation of Many-Body Spin Steady States Using Trapped Ultracold Atoms
• Dissipative cooling towards phantom Bethe states in boundary driven XXZ spin chain
• Exponentially faster preparation of quantum dimers via driven-dissipative stabilization
• Shortcut-to-adiabaticity for coupled harmonic oscillators
• Driven-Dissipative Dynamics of Ultracold Atoms Trapped in an Array of Harmonic Potentials
• Generalized stochastic spin-wave theory for open quantum spin systems