Trapped ion quantum computation with transverse phonon modes

Abstract

We propose a scheme to implement quantum gates on any pair of trapped ions immersed in a large linear crystal, using interaction mediated by the transverse phonon modes. Compared with the conventional approaches based on the longitudinal phonon modes, this scheme is much less sensitive to ion heating and thermal motion outside of the Lamb-Dicke limit thanks to the stronger confinement in the transverse direction. The cost for such a gain is only a moderate increase of the laser power to achieve the same gate speed. We also show how to realize arbitrary-speed quantum gates with transverse phonon modes based on simple shaping of the laser pulses.

5 pages

References in corpus (17)

• Scalable multi-particle entanglement of trapped ions
• Quantum computation with ions in thermal motion
• Entanglement and quantum computation with ions in thermal motion
• Quantum dynamics of cold trapped ions, with application to quantum computation
• Heating of trapped ions from the quantum ground state
• The Ion Trap Quantum Information Processor
• Fast and robust two-qubit gates for scalable ion trap quantum computing
• Unconventional geometric quantum computation
• Ion Trap in a Semiconductor Chip
• Implementation of Grover's Quantum Search Algorithm in a Scalable System
• Effective Spin Quantum Phases in Systems of Trapped Ions
• Arbitrary-speed quantum gates within large ion crystals through minimum control of laser beams
• Scaling Ion Trap Quantum Computation through Fast Quantum Gates
• Coherent control of trapped ions using off-resonant lasers
• Zero-Point cooling and low heating of trapped 111Cd+ ions
• Phonon-phonon interactions due to non-linear effects in a linear ion trap
• Observation of power-law scaling for phase transitions in linear trapped ion crystals

Cited by in corpus (116)

• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• Demonstration of a small programmable quantum computer with atomic qubits
• Experimental Comparison of Two Quantum Computing Architectures
• Emergence and Frustration of Magnetic Order with Variable-Range Interactions in a Trapped Ion Quantum Simulator
• Onset of a Quantum Phase Transition with a Trapped Ion Quantum Simulator
• Entanglement and Tunable Spin-Spin Couplings Between Trapped Ions Using Multiple Transverse Modes
• Long-range interacting quantum systems
• Optimal quantum control of multi-mode couplings between trapped ion qubits for scalable entanglement
• Parallel Entangling Operations on a Universal Ion Trap Quantum Computer
• Observation of a quantum phase transition in the quantum Rabi model with a single trapped ion
• Large Scale Quantum Computation in an Anharmonic Linear Ion Trap
• Cryogenic Trapped-Ion System for Large Scale Quantum Simulation
• Scalable global entangling gates on arbitrary ion qubits
• Quantum Simulation of Spin Models on an Arbitrary Lattice with Trapped Ions
• Towards analog quantum simulations of lattice gauge theories with trapped ions
• Colloquium: Trapped ions as quantum bits -- essential numerical tools
• Noisy intermediate-scale quantum computers
• Robust Trapped-Ion Quantum Logic Gates by Continuous Dynamical Decoupling
• Multi-Species Trapped Ion Node for Quantum Networking
• Robust and resource-efficient microwave near-field entangling ${}^9$Be${}^{+}$ gate
• Two-qubit entangling gates within arbitrarily long chains of trapped ions
• Scalable Implementation of Boson Sampling with Trapped Ions
• Phase-modulated decoupling and error suppression in qubit-oscillator systems
• Quantum-enhanced sensing on an optical transition via emergent collective quantum correlations
• Active Stabilization of Ion Trap Radiofrequency Potentials
• Noise Analysis for High-Fidelity Quantum Entangling Gates in an Anharmonic Linear Paul Trap
• Simulation of a quantum phase transition of polaritons with trapped ions
• Realizing coherently convertible dual-type qubits with the same ion species
• Many-body quantum teleportation via operator spreading in the traversable wormhole protocol
• Spectroscopy and Thermometry of Drumhead Modes in a Mesoscopic Trapped-Ion Crystal using Entanglement
• $N$-body interactions between trapped ion qubits via spin-dependent squeezing
• Demonstration of three- and four-body interactions between trapped-ion spins
• Scalable and Parallel Tweezer Gates for Quantum Computing with Long Ion Strings
• Quantum walks of a phonon in trapped ions
• Observation of Hopping and Blockade of Bosons in a Trapped Ion Spin Chain
• Efficient, stabilized two-qubit gates on a trapped-ion quantum computer
• Programmable quantum simulations of bosonic systems with trapped ions
• Sharp phase transitions in a small frustrated network of trapped ion spins
• Tutorial: The trapped-ion qubit toolbox
• The Character of Motional Modes for Entanglement and Sympathetic Cooling of Mixed-Species Trapped Ion Chains
• Manipulating the quantum information of the radial modes of trapped ions: Linear phononics, entanglement generation, quantum state transmission and non-locality tests
• Designing spin-spin interactions with one and two dimensional ion crystals in planar micro traps
• Quantum Computation under Micromotion in a Planar Ion Crystal
• Ground-state energy estimation of the water molecule on a trapped ion quantum computer
• Driven Geometric Phase Gates with Trapped Ions
• Non-thermalization in trapped atomic ion spin chains
• Phononic bath engineering of a superconducting qubit
• Seeking a quantum advantage with trapped-ion quantum simulations of condensed-phase chemical dynamics
• Observation of Non-Markovian Spin Dynamics in a Jaynes-Cummings-Hubbard Model using a Trapped-Ion Quantum Simulator
• High-precision force sensing using a single trapped ion
• Multi-Qubit Gate with Trapped Ions for Microwave and Laser-Based Implementation
• Generalized Moment Method for Gap Estimation and Quantum Monte Carlo Level Spectroscopy
• Parallel execution of quantum gates in a long linear ion chain via Rydberg mode shaping
• Efficient sideband cooling protocol for long trapped-ion chains
• Noninvasive Measurement of Dynamic Correlation Functions
• Manipulating phonons of a trapped-ion system using optical tweezers
• Long-range and frustrated spin-spin interactions in crystals of cold polar molecules
• Continuous-variable assisted thermal quantum simulation
• Blockade of phonon hopping in trapped ions in the presence of multiple local phonons
• Test of weak measurement on a two- or three-qubit computer
• Physical implementation of topologically decoherence-protected superconducting qubits
• Trapped ion scaling with pulsed fast gates
• A Study on Fast Gates for Large-Scale Quantum Simulation with Trapped Ions
• A large-scale one-way quantum computer in an array of coupled cavities
• Generation of continuous variable squeezing and entanglement of trapped ions in time-varying potentials
• Micromotion-enabled improvement of quantum logic gates with trapped ions
• High Fidelity Quantum Gates for Trapped Ions under Micromotion
• Quantum Gates with Phase Stability over Space and Time
• Protocol for implementing quantum nonparametric learning with trapped ions
• High Fidelity Entangling Gates in a 3D Ion Crystal under Micromotion
• Scalable quantum computing stabilised by optical tweezers on an ion crystal
• Thermodynamic resources in continuous-variable quantum systems
• Bang-bang shortcut to adiabaticity in trapped ion quantum simulators
• Sympathetic cooling in a large ion crystal
• Numerical optimization of amplitude-modulated pulses in microwave-driven entanglement generation
• Electromagnetically-Induced-Transparency Cooling of High-Nuclear-Spin Ions
• Certification of Boson Sampling Devices with Coarse-Grained Measurements
• Extended two-body Rydberg blockade interaction with off-resonant modulated driving
• Individual Addressing in Quantum Computation through Spatial Refocusing
• PT Symmetry, induced mechanical lasing and tunable force sensing in a coupled-mode optically levitated nanoparticle
• Entangling gates for trapped-ion quantum computation and quantum simulation
• Stability thresholds and calculation techniques for fast entangling gates on trapped ions
• Realizing and detecting Stiefel-Whitney insulators in an optical Raman lattice
• Relationship between the transverse-field Ising model and the XY model via the rotating-wave approximation
• Ion Trap with In-Vacuum High Numerical Aperture Imaging for a Dual-Species Modular Quantum Computer
• Implementation of local and high-fidelity quantum conditional phase gates in a scalable two-dimensional ion trap
• SQ-CARS: A Scalable Quantum Control and Readout System
• Intrinsic anharmonic effects on the phonon frequencies and effective spin-spin interactions in a quantum simulator made from trapped ions in a linear Paul trap
• Phonon transport in a one-dimensional harmonic chain with long-range interaction and mass disorder
• Theoretical basis for quantum simulation with a planar ionic crystal in a Penning trap using a triangular rotating wall
• Sympathetic Wigner function tomography of a dark trapped ion
• Proposal for high-fidelity quantum simulation using a hybrid dressed state
• Measuring nonequilibrium retarded spin-spin Green's functions in an ion-trap based quantum simulator
• Majorana modes in trapped-ion system and their Floquet engineering
• Qubit dynamics driven by smooth pulses of finite duration
• Floquet Amorphous Topological Orders in a One-dimensional Rydberg Glass
• Toward simulating quantum field theories with controlled phonon-ion dynamics: A hybrid analog-digital approach
• Simulation of the Majorana equation in circuit QED
• Quantum communication between trapped ions through a dissipative environment
• Cold ion beam in a storage ring as a platform for large-scale quantum computers and simulators: challenges and directions for research and development
• Simulating the Klein tunneling of pseudospin-one Maxwell particles with trapped ions
• High-speed and high-connectivity two-qubit gates in long chains of trapped ions
• Engineering an Effective Three-spin Hamiltonian in Trapped-ion Systems for Applications in Quantum Simulation
• Ring-exchange physics in a chain of three-level ions
• Experimental Demonstration of Swift Analytical Universal Control over Nearby Transitions
• Engineering $\mathrm{SU}(1,1)\otimes \mathrm{SU}(1,1)$ vibrational states
• Modeling the atomtronic analog of an optical polarizing beam splitter, a half-wave plate, and a quarter-wave plate for phonons of the motional state of two trapped atom
• Homogeneous Linear Ion Crystal in a Hybrid Potential
• Determining the ground-state probability of a quantum simulation with product-state measurements
• Realization of two-dimensional crystal of ions in a monolithic Paul trap
• Site-dependent control of polaritons in the Jaynes Cummings Hubbard model with trapped ions
• Detecting degenerate bands topological invariants in optical lattice
• Radio-Frequency Pseudo-Null Induced by Light in an Ion Trap
• Two-qubit quantum Fourier transform and entanglement protected by circulant symmetry
• Ion crystals in anharmonic traps
• Creation of two-dimensional coulomb crystals of ions in oblate Paul traps for quantum simulations