Cross-Kerr nonlinearity for phonon counting

Abstract

State measurement of a quantum harmonic oscillator is essential in quantum optics and quantum information processing. In a system of trapped ions, we experimentally demonstrate the projective measurement of the state of the ions' motional mode via an effective cross-Kerr coupling to another motional mode. This coupling is induced by the intrinsic nonlinearity of the Coulomb interaction between the ions. We spectroscopically resolve the frequency shift of the motional sideband of the first mode due to presence of single phonons in the second mode and use it to reconstruct the phonon number distribution of the second mode.

5 pages, 3 figures

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• Steady entangled-state generation via cross-Kerr effect in a ferrimagnetic crystal
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• Quantum computation and simulation with vibrational modes of trapped ions
• Double-EIT Ground-State Cooling of Stationary Two-Dimensional Ion Lattices
• Generalized Ultrastrong Optomechanics
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• Quantum Simulations with a Trilinear Hamiltonian
• Trapped-Ion Quantum Simulation of Electron Transfer Models with Tunable Dissipation
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• Toward hybrid quantum simulations with qubits and qumodes on trapped-ion platforms
• Heralded single-photon source based on superpositions of squeezed states
• Simulating Vibrational Dynamics on Bosonic Quantum Devices
• Nonlinear flip-flop quantum walks through potential barriers
• Single-shot measurements of phonon number states using the Autler-Townes effect
• Quantum parameter estimation of nonlinear coupling in trilinear Hamiltonian with trapped ions
• Motional state analysis of a trapped ion by ultra-narrowband composite pulses
• Bespoke Pulse Design for Robust Rapid Two-Qubit Gates with Trapped Ions
• Multiphoton resonance in a driven Kerr oscillator in presence of high-order nonlinearities
• Quantum manipulation of a two-level mechanical system
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• Optimal quantum sensing of the nonlinear bosonic interactions using Fock states
• Quantum transient heat transport in the hyper-parametric oscillator
• Swap-test interferometry with biased ancilla noise
• Delocalized Excitation Transfer in Open Quantum Systems with Long-Range Interactions
• A method of an on-demand beamsplitter for trapped-ion quantum computers
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