Quantum computation with ions in thermal motion

Abstract

We propose an implementation of quantum logic gates via virtual vibrational excitations in an ion trap quantum computer. Transition paths involving unpopulated, vibrational states interfere destructively to eliminate the dependence of rates and revolution frequencies on vibrational quantum numbers. As a consequence quantum computation becomes feasible with ions whos vibrations are strongly coupled to a thermal reservoir.

5 pages, including 5 figures. To appear in Phys. Rev. Lett. New version demonstrates that our gate is insensitive to heating and shows how to perform a control-not with our gate. Improved numerical simulations

References in corpus (1)

• Multi-particle entanglement of hot trapped ions

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• Efficient Lindblad synthesis for noise model construction
• Quantum logic spectroscopy with ions in thermal motion
• Suppression of Phase Decoherence in a Single Atomic Qubit
• Ion-mediated interaction and controlled phase gate operation between two atomic qubits
• Control of entanglement and two-qubit quantum gates with atoms crossing a detuned optical cavity
• Efficient control pulses for continuous quantum gate families through coordinated re-optimization
• First-Order Crosstalk Mitigation in Parallel Quantum Gates Driven With Multi-Photon Transitions
• Geometric phase gates in dissipative quantum dynamics
• Quantum communication between trapped ions through a dissipative environment
• Generally noise-resilient quantum gates for trapped-ions
• Structure-dynamics relation in shaken optical lattices
• Quantum Computation with Rotational States of Nonpolar Ionic Molecules
• Demonstration of two-dimensional connectivity for a scalable error-corrected ion-trap quantum processor architecture
• Dropout is all you need: robust two-qubit gate with reinforcement learning
• Decoherence suppression for oscillator-assisted geometric quantum gates via symmetrization
• Refocusing two qubit gates with measurements for trapped ions
• Simulating superluminal propagation of Dirac particles using trapped ions
• Quantum simulation of long range $XY$ quantum spin glass with strong area-law violation using trapped ions
• Ultrafast infrared spectroscopy with single molecular ions
• Noise as a resource
• Cold ion beam in a storage ring as a platform for large-scale quantum computers and simulators: challenges and directions for research and development
• Quantum computing hardware in the cloud: Should a computational chemist care?
• Long-range Ising interactions mediated by $\lambda {\varphi }^4$ fields: probing the renormalisation of sound in crystals of trapped ions
• A simplified Mølmer-Sørensen gate for the trapped ion quantum computer
• Probing Majorana Modes via Local Spin Dynamics
• Transferring multiqubit entanglement onto memory qubits in a decoherence-free subspace
• Vibration-Assisted Multi-Photon Resonance and Multi-Ion Excitation
• Individually-addressed quantum gate interactions using dynamical decoupling
• Dark spin-cats as biased qubits
• Light with orbital angular momentum interacting with trapped ions
• Spectral Gap Optimization for Enhanced Adiabatic State Preparation
• A silicon-based ion trap chip protected from semiconductor charging
• Quantum Advantage in Trading: A Game-Theoretic Approach
• Quantum computer with cold ions in the Aubry pinned phase
• Room-temperature steady-state entanglement in a four-mode optomechanical system
• Unconditional Bell-type state generation for spatially separate trapped ions
• Identification of a natural fieldlike entanglement resource in trapped-ion chains
• Phonon-mediated quantum gates in trapped ions coupled to an ultracold atomic gas
• Decoherence mitigation for geometric quantum computation
• Simplified approach to generate controlled-NOT gates with single trapped ions for arbitrary Lamb-Dicke parameters
• The role of higher-order terms in trapped-ion quantum computing with magnetic gradient induced coupling
• Quantum gates using electronic and nuclear spins of Yb${}^{+}$ in a magnetic field gradient
• Expanding Hardware-Efficiently Manipulable Hilbert Space via Hamiltonian Embedding
• Supervised binary classification of small-scale digit images and weighted graphs with a trapped-ion quantum processor
• Investigation of the spin dynamics of quantum spin dimers with Dzyaloshinsky-Moriya interaction
• Quantum voting machine encoded with microwave photons
• Strong coherent ion-electron coupling using a wire data bus
• Realization and Calibration of Continuously Parameterized Two-Qubit Gates on a Trapped-Ion Quantum Processor
• Probing spin-motion coupling of two Rydberg atoms by a Stern-Gerlach-like experiment
• Characterizing physical and logical errors in a transversal CNOT via cycle error reconstruction
• Superconducting surface trap chips for microwave-driven trapped ions
• Incoherent-mediator for quantum state transfer in the ultrastrong coupling regime
• Unifying Sørensen-Mølmer gate and Milburn gate with an optomechanical example
• Phase-Space Topology in a Single-Atom Synthetic Dimension
• Improved Strategies for Fermionic Quantum Simulation with Global Interactions
• Experimental factoring integers using fixed-point-QAOA with a trapped-ion quantum processor
• Characterization of a quantum bus between two driven qubits
• Modified coherence of quantum spins in a damped pure-dephasing model
• Quantum Theory from Principles, Quantum Software from Diagrams
• Berry's Phases for Arbitrary Spins Non-Linearly Coupled to External Fields. Application to the Entanglement of N > 2 Non-Correlated One-Half Spins
• Quantum computing architecture with Rydberg gates in trapped ions
• Mitigating Errors in Analog Quantum Simulation by Hamiltonian Reshaping or Hamiltonian Rescaling
• Transpiling quantum assembly language circuits to a qudit form
• Homogeneous Linear Ion Crystal in a Hybrid Potential
• Experimental measurement and a physical interpretation of quantum shadow enumerators
• Quantum computation with logical gates between hot systems
• Pulse optimization for high-precision motional-mode characterization in trapped-ion quantum computers
• Quantum Control of Heat Current
• Thermal masses and trapped-ion quantum spin models: a self-consistent approach to Yukawa-type interactions in the $\lambda {\varphi }^4$ model
• The basic principles to construct a generalized state-locking pulse field and simulate efficiently the reversible and unitary halting protocol of a universal quantum computer
• Time optimal holonomic quantum computation
• A quantum retrograde canon: Complete population transfer in $n^2$-state systems
• Approximate 3-designs and partial decomposition of the Clifford group representation using transvections
• Compatibility of trapped ions and dielectrics at cryogenic temperatures
• Tunable transverse spin-motion coupling for quantum information processing
• Weakly Fault-Tolerant Computation in a Quantum Error-Detecting Code
• Robust Oscillator-Mediated Phase Gates Driven by Low-Intensity Pulses
• Ion crystals in anharmonic traps
• Realizing an $n$-target-qubit controlled phase gate in cavity QED: An approach without classical pulses
• Non-invasive mid-circuit measurement and reset on atomic qubits
• Doubling Qubits in a Trapped-Ion System via Vibrational Dual-Rail Encoding
• Dynamical decoupling protection for three-level systems
• Characterization and cancellation of power-line-induced motional-mode frequency noise in a trapped-ion system
• Multilevel Electromagnetically Induced Transparency Cooling
• Introduction to Physical Implementations of Quantum Information Processing
• Parametric Amplification of Spin-Motion Coupling in Three-Dimensional Trapped-Ion Crystals
• Protective measurement of a qubit by a qubit probe
• Dissipative engineering a tripartite Greenberger-Horne-Zeilinger state for neutral atoms
• Co-Designing Spectral Transformation Oracles with Hybrid Oscillator-Qubit Quantum Processors: From Algorithms to Compilation
• Controlling the spontaneous emission of trapped ions
• Encoding a qubit into multilevel subspaces
• Experimental verification of multi-copy activation of genuine multipartite entanglement
• Neutral atom entangling gate in the ultrastrong coupling regime
• Entanglement dynamics via Geometric phases in Trapped-ions
• The Virtual Quantum Device (VQD): A tool for detailed emulation of quantum computers
• Optimal two-qubit gates in recurrence protocols of entanglement purification
• Geometric and holonomic quantum computation
• Abrupt and gradual changes of information through the Kane solid state computer
• Modulator-Assisted Zeno Control of Energy Transfer in Quantum Batteries
• From Quantum Optics to Quantum Technologies
• Unitarily manipulating in time and space a Gaussian wave-packet motional state of a single atom in a quadratic potential field