Adiabatic Mach-Zehnder interferometer via an array of trapped ions

Abstract

We explore the possibility of implementing a Heisenberg-limited Mach-Zehnder interferometry via an array of trapped ions, which obey a quantum Ising model within a transverse field. Based upon adiabatic processes of increasing the Ising interaction and then decreasing the transverse field, we demonstrate a perfect transition from paramagnetism to ferromagnetic states, which can be used as the beam splitter for the multi-ion Mach-Zehnder interferometry. The achieved NOON state of the ions enables the Heisenberg-limited interferometry. Using currently available techniques for ultracold ions, we discuss the experimental feasibility of our scheme with global operations.

5 pages, 4 figures

References in corpus (7)

• 14-qubit entanglement: creation and coherence
• Universal digital quantum simulation with trapped ions
• Onset of a Quantum Phase Transition with a Trapped Ion Quantum Simulator
• Process tomography of ion trap quantum gates
• Adiabatic Mach-Zehnder Interferometry on A Quantized Bose-Josephson Junction
• Nonlinear quantum interferometry with Bose condensed atoms
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Cited by in corpus (5)

• Quantum Simulation
• Atomtronic protocol designs for NOON states
• Non-Gaussian Precision Metrology via Driving through Quantum Phase Transitions
• Creation of arbitrary Dicke and NOON states of trapped-ion qubits by global addressing with composite pulses
• Multi-ion Mach-Zehnder interferometer with artificial nonlinear interactions