Creation of arbitrary Dicke and NOON states of trapped-ion qubits by global addressing with composite pulses

Abstract

We propose a fast and efficient technique to create classes of highly entangled states of trapped ions, such as arbitrary Dicke states and superpositions of them, e.g. NOON states. The ions are initialized in the phonon ground state and are addressed globally with a composite pulse that is resonant with the first motional sideband. The technique operates on comparatively short time scales, as resonant interactions allow one to use the minimum laser pulse area. The number of single pulses from the composite sequence is equal to the number of ions, thus the implementation complexity grows only linearly with the size of the system. The approach does not require individual addressing of the ions in the trap and can be applied both inside and outside the Lamb-Dicke regime.

11 pages, 2 figures, 2 tables

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• Dissipative preparation of W states in trapped ion systems
• Quantum interferometers: principles and applications
• Robust single-qubit gates by composite pulses in three-level systems
• Ground-state cooling of a nanomechanical oscillator with N spins
• Universal Composite Pulses for Efficient Population Inversion with an Arbitrary Excitation Profile
• Deterministic generations of NOON states via shortcuts to adiabaticity
• Efficient detection of inhomogeneous magnetic fields from a single spin with Dicke states
• Global Variational Quantum Circuits for Arbitrary Symmetric State Preparation
• Symmetric quantum states: a review of recent progress
• Perturbative approach to the dynamics of a trapped ion interacting with a light field
• Deterministic carving of quantum states with Grover's algorithm
• Optimizing quantum codes with an application to the loss channel with partial erasure information