A proposal for a scalable universal bosonic simulator using individually trapped ions

Abstract

We describe a possible architecture to implement a universal bosonic simulator (UBS) using trapped ions. Single ions are confined in individual traps, and their motional states represent the bosonic modes. Single-mode linear operators, nonlinear phase-shifts, and linear beam splitters can be realized by precisely controlling the trapping potentials. All the processes in a bosonic simulation, except the initialization and the readout, can be conducted beyond the Lamb-Dicke regime. Aspects of our proposal can also be applied to split adiabatically a pair of ions in a single trap.

References in corpus (21)

• Gaussian Quantum Information
• Violation of Bell's inequality under strict Einstein locality conditions
• Optical Quantum Computing
• Quantum computing with trapped ions
• Quantum computation over continuous variables
• Beating the Standard Quantum Limit with Four Entangled Photons
• Fast optimal frictionless atom cooling in harmonic traps
• Quantum dynamics of cold trapped ions, with application to quantum computation
• Coupled quantized mechanical oscillators
• Fast atomic transport without vibrational heating
• High fidelity transport of trapped-ion qubits through an X-junction trap array
• Trapped-ion antennae for the transmission of quantum information
• Optimal trajectories for efficient atomic transport without final excitation
• Trapped-Ion Quantum Simulator: Experimental Application to Nonlinear Interferometers
• Motion Tomography of a single trapped ion
• Time Averaged Quantum Dynamics and the Validity of the Effective Hamiltonian Model
• Transport dynamics of single ions in segmented microstructured Paul trap arrays
• Nonlinear coupling of continuous variables at the single quantum level
• Theory of Cross Phase Modulation for the Vibrational Modes of Trapped Ions
• Heisenberg-picture approach to the exact quantum motion of a time-dependent forced harmonic oscillator
• Decoherence and dephasing errors caused by D.C. Stark effect in rapid ion transport

Cited by in corpus (37)

• Quantum Simulation
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• Experimental Scattershot Boson Sampling
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• Experimental realization of fast ion separation in segmented Paul traps
• Scalable and Programmable Phononic Network with Trapped Ions
• Fast transport of two ions in an anharmonic trap
• Programmable quantum simulations of bosonic systems with trapped ions
• Double-EIT Ground-State Cooling of Stationary Two-Dimensional Ion Lattices
• Fast and optimal transport of atoms with non-harmonic traps
• Finite-time Landau-Zener processes and counter-diabatic driving in open systems: beyond Born, Markov and Rotating-wave approximations
• Universal hybrid quantum computing in trapped ions
• Continuous variables quantum computation over the vibrational modes of a single trapped ion
• Motional squeezing for trapped ion transport and separation
• Shortcuts to adiabaticity for an ion in a rotating radially-tight trap
• Photonic quantum simulations of coupled $PT$-symmetric Hamiltonians
• Protocol for implementing quantum nonparametric learning with trapped ions
• Shortcuts to Squeezed Thermal States
• Realizing quantum linear regression with auxiliary qumodes
• Generalized Exact Holographic Mapping with Wavelets
• Toward hybrid quantum simulations with qubits and qumodes on trapped-ion platforms
• Exploring Shallow-Depth Boson Sampling: Towards Scalable Quantum Supremacy
• Rapid laser-free ion cooling by controlled collision
• Linear Mode-Mixing of Phonons with Trapped Ions
• Classical simulability of constant-depth linear-optical circuits with noise
• Generating and verifying graph states for fault-tolerant topological measurement-based quantum computing in 2D optical lattices
• Coherent control of a local phonon in trapped ions using dynamical decoupling
• Non-Markovianity over ensemble averages in quantum complex networks
• Quantum Computing for Molecular Vibronic Spectra and Gaussian Boson Sampling
• Efficiently simulating the work distribution of multiple identical bosons with boson sampling
• Adiabatically controlled motional states of a ground-state cooled CaO${}^{+}$ and Ca${}^{+}$ trapped ion chain
• Cancellation of phonon hopping in trapped ions by modulation of the trap potential
• Characterization and optimized engineering of bosonic quantum interfaces under single-mode operational constraints
• A method of an on-demand beamsplitter for trapped-ion quantum computers
• The Multiphoton Boson Sampling Machine Doesn't Beat Early Classical Computers for Five-boson Sampling