Crosstalk Suppression for Fault-tolerant Quantum Error Correction with Trapped Ions

Abstract

Physical qubits in experimental quantum information processors are inevitably exposed to different sources of noise and imperfections, which lead to errors that typically accumulate hindering our ability to perform long computations reliably. Progress towards scalable and robust quantum computation relies on exploiting quantum error correction (QEC) to actively battle these undesired effects. In this work, we present a comprehensive study of crosstalk errors in a quantum-computing architecture based on a single string of ions confined by a radio-frequency trap, and manipulated by individually-addressed laser beams. This type of errors affects spectator qubits that, ideally, should remain unaltered during the application of single- and two-qubit quantum gates addressed at a different set of active qubits. We microscopically model crosstalk errors from first principles and present a detailed study showing the importance of using a coherent vs incoherent error modelling and, moreover, discuss strategies to actively suppress this crosstalk at the gate level. Finally, we study the impact of residual crosstalk errors on the performance of fault-tolerant QEC numerically, identifying the experimental target values that need to be achieved in near-term trapped-ion experiments to reach the break-even point for beneficial QEC with low-distance topological codes.

arXiv comment30 pages, 13 figures, 1 table

References in corpus (86)

• Fault-tolerant quantum computation by anyons
• Quantum Computing
• Good Quantum Error-Correcting Codes Exist
• Dynamical Decoupling of Open Quantum Systems
• Topological quantum memory
• Universal Quantum Computation with ideal Clifford gates and noisy ancillas
• Superconducting Qubits: Current State of Play
• Quantum Error Correction for Quantum Memories
• Trapped-Ion Quantum Computing: Progress and Challenges
• NMR Techniques for Quantum Control and Computation
• Quantum Computing with Very Noisy Devices
• Quantum computation with ions in thermal motion
• Multi-particle entanglement of hot trapped ions
• State preservation by repetitive error detection in a superconducting quantum circuit
• 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
• Topological Quantum Distillation
• Large Scale Modular Quantum Computer Architecture with Atomic Memory and Photonic Interconnects
• Quantum error correction in a solid-state hybrid spin register
• Demonstration of the trapped-ion quantum-CCD computer architecture
• High-Fidelity Universal Gate Set for ${}^9$Be${}^{+}$ Ion Qubits
• Experimental Comparison of Two Quantum Computing Architectures
• Quantum error correction of a qubit encoded in grid states of an oscillator
• ProjectQ: An Open Source Software Framework for Quantum Computing
• Experimental Quantum Computations on a Topologically Encoded Qubit
• Encoding a qubit in a trapped-ion mechanical oscillator
• Repeated Quantum Error Detection in a Surface Code
• A quantum information processor with trapped ions
• Fault-Tolerant Error Correction with Efficient Quantum Codes
• Active stabilisation, quantum computation and quantum state synthesis
• Single-qubit quantum memory exceeding $10$-minute coherence time
• Demonstration of Universal Parametric Entangling Gates on a Multi-Qubit Lattice
• Fast quantum logic gates with trapped-ion qubits
• Software Mitigation of Crosstalk on Noisy Intermediate-Scale Quantum Computers
• Characterizing large-scale quantum computers via cycle benchmarking
• Quantum error correction with only two extra qubits
• Training of Quantum Circuits on a Hybrid Quantum Computer
• Implementation of the Five Qubit Error Correction Benchmark
• Efficient learning of quantum noise
• Detecting crosstalk errors in quantum information processors
• Demonstration of weight-four parity measurements in the surface code architecture
• Review of Decoherence Free Subspaces, Noiseless Subsystems, and Dynamical Decoupling
• Fault-tolerant bosonic quantum error correction with the surface-GKP code
• A Software Methodology for Compiling Quantum Programs
• Assessing the progress of trapped-ion processors towards fault-tolerant quantum computation
• Quantum Control Landscapes
• Quantum metrology enhanced by repetitive quantum error correction
• Quantum gate teleportation between separated qubits in a trapped-ion processor
• High-fidelity trapped-ion quantum logic using near-field microwaves
• Towards Scalable Bosonic Quantum Error Correction
• Effective fault-tolerant quantum computation with slow measurements
• Ion trap quantum gates with amplitude-modulated laser beams
• Flag fault-tolerant error correction with arbitrary distance codes
• Repeated multi-qubit readout and feedback with a mixed-species trapped-ion register
• Fault-tolerant quantum computation with few qubits
• Efficient implementation of selective recoupling in heteronuclear spin systems using Hadamard matrices
• Coping with qubit leakage in topological codes
• Two-qubit entangling gates within arbitrarily long chains of trapped ions
• Triangular color codes on trivalent graphs with flag qubits
• A trapped-ion based quantum byte with $10^{-5}$ next-neighbour cross-talk
• Simulating the performance of a distance-3 surface code in a linear ion trap
• Scalable creation of long-lived multipartite entanglement
• Very low overhead fault-tolerant magic state preparation using redundant ancilla encoding and flag qubits
• Sequential modular position and momentum measurements of a trapped ion mechanical oscillator
• Fault-Tolerant Operation of a Quantum Error-Correction Code
• Experimental implementation of encoded logical qubit operations in a perfect quantum error correcting code
• Shorter stabilizer circuits via Bruhat decomposition and quantum circuit transformations
• Fault-tolerant quantum error correction for Steane's seven-qubit color code with few or no extra qubits
• Approximation of real error channels by Clifford channels and Pauli measurements
• Scalable and Parallel Tweezer Gates for Quantum Computing with Long Ion Strings
• Transversality and lattice surgery: exploring realistic routes towards coupled logical qubits with trapped-ion quantum processors
• Stacked codes: universal fault-tolerant quantum computation in a two-dimensional layout
• Fault Tolerance with Bare Ancillae for a [[7,1,3]] Code
• Hybrid Optimization Schemes for Quantum Control
• Real-time calibration with spectator qubits
• Quantum computing by color-code lattice surgery
• Fault-tolerant protection of near-term trapped-ion topological qubits under realistic noise sources
• Transformed Composite Sequences for Improved Qubit Addressing
• Gauge color codes in two dimensions
• Leakage mitigation for quantum error correction using a mixed qubit scheme
• High-fidelity spatial and polarization addressing of Ca-43 qubits using near-field microwave control
• Programmable quantum simulation by dynamic Hamiltonian engineering
• Freely Scalable Quantum Technologies using Cells of 5-to-50 Qubits with Very Lossy and Noisy Photonic Links
• Iterative Phase Optimisation of Elementary Quantum Error Correcting Codes
• Optimized Quantum Error Correction Codes for Experiments

Cited by in corpus (29)

• A universal qudit quantum processor with trapped ions
• Demonstration of fault-tolerant universal quantum gate operations
• Quantum Crosstalk Robust Quantum Control
• Re-examining the quantum volume test: Ideal distributions, compiler optimizations, confidence intervals, and scalable resource estimations
• Crosstalk Suppression in Individually Addressed Two-Qubit Gates in a Trapped-Ion Quantum Computer
• Fault-tolerant multiqubit geometric entangling gates using photonic cat-state qubits
• Designing Filter Functions of Frequency-Modulated Pulses for High-Fidelity Two-Qubit Gates in Ion Chains
• Randomized benchmarking for non-Markovian noise
• Seeking a quantum advantage with trapped-ion quantum simulations of condensed-phase chemical dynamics
• Strategies for practical advantage of fault-tolerant circuit design in noisy trapped-ion quantum computers
• Fault-Tolerant Code Switching Protocols for Near-Term Quantum Processors
• High-fidelity indirect readout of trapped-ion hyperfine qubits
• Overcoming noise in quantum teleportation with multipartite hybrid entanglement
• Comparing Two-Qubit and Multi-Qubit Gates within the Toric Code
• Practical randomness amplification and privatisation with implementations on quantum computers
• Quasienergy operators and generalized squeezed states for systems of trapped ions
• Crosstalk Attacks and Defence in a Shared Quantum Computing Environment
• Towards a general framework of Randomized Benchmarking incorporating non-Markovian Noise
• Near-Term Spin-Qubit Architecture Design via Multipartite Maximally-Entangled States
• Dynamical subset sampling of quantum error correcting protocols
• Characterizing quantum instruments: from non-demolition measurements to quantum error correction
• Detrimental non-Markovian errors for surface code memory
• Simulation of the five-qubit quantum error correction code on superconducting qubits
• First-Order Crosstalk Mitigation in Parallel Quantum Gates Driven With Multi-Photon Transitions
• Design and characterization of individual addressing optics based on multi-channel acousto-optic modulator for ${}^{171}$Yb${}^{+}$ qubits
• Method for Generating Randomly Perturbed Density Operators Subject to Different Sets of Constraints
• Unifying non-Markovian characterisation with an efficient and self-consistent framework
• The perfect entangler spectrum as a tool to analyze crosstalk
• Crosstalk Insensitive Trapped-Ion Entanglement through Coupling Matrix Engineering