Theory of robust multi-qubit non-adiabatic gates for trapped-ions

Abstract

The prevalent approach to executing quantum algorithms on quantum computers is to break-down the algorithms to a concatenation of universal gates, typically single and two-qubit gates. However such a decomposition results in long gate sequences which are exponential in the qubit register size. Furthermore, gate fidelities tend to decrease when acting in larger qubit registers. Thus high-fidelity implementations in large qubit registers is still a prominent challenge. Here we propose and investigate multi-qubit entangling gates for trapped-ions. Our gates couple many qubits at once, allowing to decrease the total number of gates used while retaining a high gate fidelity. Our method employs all of the normal-modes of motion of the ion chain, which allows to operate outside of the adiabatic regime and at rates comparable to the secular ion-trapping frequency. Furthermore we extend our method for generating Hamiltonians which are suitable for quantum analog simulations, such as a nearest-neighbour spin Hamiltonian or the Su-Schrieffer-Heeger Hamiltonian.

arXiv comment10+5 pages, 8 figures

References in corpus (42)

• Elementary gates for quantum computation
• Trapped-Ion Quantum Computing: Progress and Challenges
• The Magnus expansion and some of its applications
• 14-qubit entanglement: creation and coherence
• Quantum computation with ions in thermal motion
• Observation of a Many-Body Dynamical Phase Transition with a 53-Qubit Quantum Simulator
• Two-Bit Gates are Universal for Quantum Computation
• Multi-particle entanglement of hot trapped ions
• Effective quantum spin systems with ion traps
• Entanglement and quantum computation with ions in thermal motion
• High-fidelity two-qubit quantum logic gates using trapped calcium-43 ions
• High-fidelity quantum logic gates using trapped-ion hyperfine qubits
• High-fidelity preparation, gates, memory and readout of a trapped-ion quantum bit
• Quantum dynamics of cold trapped ions, with application to quantum computation
• Direct observation of dynamical quantum phase transitions in an interacting many-body system
• Experimental Comparison of Two Quantum Computing Architectures
• Benchmarking an 11-qubit quantum computer
• Emergence and Frustration of Magnetic Order with Variable-Range Interactions in a Trapped Ion Quantum Simulator
• High-fidelity readout of trapped-ion qubits
• Fast quantum logic gates with trapped-ion qubits
• Parallel Entangling Operations on a Universal Ion Trap Quantum Computer
• Assessing the progress of trapped-ion processors towards fault-tolerant quantum computation
• Scalable global entangling gates on arbitrary ion qubits
• Robust two-qubit gates in a linear ion crystal using a frequency-modulated driving force
• Ion trap quantum gates with amplitude-modulated laser beams
• Robust entanglement gates for trapped-ion qubits
• Efficient Arbitrary Simultaneously Entangling Gates on a trapped-ion quantum computer
• Resilient entanglement gates for trapped ions
• Phase-modulated entangling gates robust to static and time-varying errors
• Demonstration of two-atom entanglement with ultrafast optical pulses
• Compiling quantum algorithms for architectures with multi-qubit gates
• Fast phase gates with trapped ions
• Use of global interactions in efficient quantum circuit constructions
• Entangling an arbitrary pair of qubits in a long ion crystal
• Versatile laser-free trapped-ion entangling gates
• High fidelity quantum gates of trapped ions mediated by a dissipative bus mode
• Fast dynamical decoupling of the Molmer-Sorensen entangling gate
• Laser-free trapped-ion entangling gates with simultaneous insensitivity to qubit and motional decoherence
• The Multivariate Resultant is NP-hard in any Characteristic
• Decoherence of up to 8-qubit entangled states in a 16-qubit superconducting quantum processor
• Power-optimal, stabilized entangling gate between trapped-ion qubits
• Maximally Sensitive Sets of States

Cited by in corpus (33)

• Batch Optimization of Frequency-Modulated Pulses for Robust Two-qubit Gates in Ion Chains
• Designing Filter Functions of Frequency-Modulated Pulses for High-Fidelity Two-Qubit Gates in Ion Chains
• Numeric optimization for configurable, parallel, error-robust entangling gates in large ion registers
• Quantum oscillator noise spectroscopy via displaced cat states
• Quantum simulations with complex geometries and synthetic gauge fields in a trapped ion chain
• Quantum Circuit Compiler for a Shuttling-Based Trapped-Ion Quantum Computer
• Hybrid Oscillator-Qubit Quantum Processors: Instruction Set Architectures, Abstract Machine Models, and Applications
• Quantum control methods for robust entanglement of trapped ions
• Robust two-qubit trapped ions gates using spin-dependent squeezing
• Engineering spin-spin interactions with optical tweezers in trapped ions
• Broadening of the drumhead mode spectrum due to in-plane thermal fluctuations of two-dimensional trapped ion crystals in a Penning trap
• A high-fidelity method for a single-step $N$-bit Toffoli gate in trapped ions
• Comparing Two-Qubit and Multi-Qubit Gates within the Toric Code
• Angle-robust Two-Qubit Gates in a Linear Ion Crystal
• Entangling gates for trapped-ion quantum computation and quantum simulation
• Fast multi-qubit global-entangling gates without individual addressing of trapped ions
• Signal processing techniques for efficient compilation of controlled rotations in trapped ions
• Polynomial Reduction Methods and their Impact on QAOA Circuits
• Realization of programmable Ising models in a trapped-ion quantum simulator
• Global Variational Quantum Circuits for Arbitrary Symmetric State Preparation
• Bilayer crystals of trapped ions for quantum information processing
• Programmable quantum simulations on a trapped-ions quantum simulator with a global drive
• Bespoke Pulse Design for Robust Rapid Two-Qubit Gates with Trapped Ions
• Interaction graph engineering in trapped-ion quantum simulators with global drives
• Digital-Analog Counterdiabatic Quantum Optimization with Trapped Ions
• Quantum simulation of time-dependent Hamiltonians via commutator-free quasi-Magnus operators
• Quantum Zeno approach for molecular energies with maximum commuting initialHamiltonians
• Multi-Mode Global Driving of Trapped Ions for Quantum Circuit Synthesis
• Quantum computing architecture with Rydberg gates in trapped ions
• It's Quick to be Square: Fast Quadratisation for Quantum Toolchains
• Qubits on programmable geometries with a trapped-ion quantum processor
• Exactly-solved model of light-scattering errors in quantum simulations with metastable trapped-ion qubits
• Crosstalk Insensitive Trapped-Ion Entanglement through Coupling Matrix Engineering