State dependent motional squeezing of a trapped ion: new method and applications

Abstract

We show that the motion of a cold trapped ion can be squeezed by modulating the intensity of a phase-stable optical lattice placed inside the trap. As this method is reversible and state selective it effectively implements a controlled-squeeze gate. We show how to use this resource, that can be useful for quantum information processing with continuous variables, in order to prepare coherent superpositions of states which are squeezed along complementary quadratures. We show that these states, which we denote as "$\mathcal{X}$-states", exhibit high sensitivity to small displacements along two complementary quadratures which make them useful for quantum metrology.

arXiv comment5 pages, 3 figures

References in corpus (18)

• QuTiP 2: A Python framework for the dynamics of open quantum systems
• Encoding a qubit in an oscillator
• Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
• Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
• Direct observation of dynamical quantum phase transitions in an interacting many-body system
• Encoding a qubit in a trapped-ion mechanical oscillator
• Fast quantum logic gates with trapped-ion qubits
• Quantum harmonic oscillator state synthesis by reservoir engineering
• A spin heat engine coupled to a harmonic-oscillator flywheel
• Quantum amplification of mechanical oscillator motion
• Parallel Entangling Operations on a Universal Ion Trap Quantum Computer
• Multi-Element Logic Gates for Trapped-Ion Qubits
• Spin-dependent forces on trapped ions for phase-stable quantum gates and motional Schrodinger-cat states
• Quantum-enhanced sensing of a mechanical oscillator
• Observation of quantum interference between separated mechanical oscillator wavepackets
• Trapped Ion Quantum Information Processing with Squeezed Phonons
• Scalable creation of long-lived multipartite entanglement
• Phase-stable free-space optical lattices for trapped ions

Cited by in corpus (14)

• $N$-body interactions between trapped ion qubits via spin-dependent squeezing
• Universal hybrid quantum computing in trapped ions
• Driven Multiphoton Qubit-Resonator Interactions
• Optical estimation of unitary Gaussian processes without phase reference using Fock states
• Quasienergy operators and generalized squeezed states for systems of trapped ions
• Influence of squeezing on the weak-to-strong measurement transition
• General approach of weak-to-strong measurement transition for Fock-state-based pointer states
• Preparation of conditionally-squeezed states in qubit-oscillator systems
• Dispersive regime of multiphoton qubit-oscillator interactions
• Gaussian states in quantum field theory: Exact representations of relative phase in superpositions of Gaussian states
• Selective quantum state tomography for continuous-variable systems
• Selective continuous-variable quantum process tomography
• Optimal Displacement Sensing with Spin-Dependent Squeezed States
• Line search by quantum logic spectroscopy enhanced with squeezing and statistical tests