Noise-resilient Edge Modes on a Chain of Superconducting Qubits

Abstract

Inherent symmetry of a quantum system may protect its otherwise fragile states. Leveraging such protection requires testing its robustness against uncontrolled environmental interactions. Using 47 superconducting qubits, we implement the one-dimensional kicked Ising model which exhibits non-local Majorana edge modes (MEMs) with ${\mathbb{Z}}_2$ parity symmetry. Remarkably, we find that any multi-qubit Pauli operator overlapping with the MEMs exhibits a uniform late-time decay rate comparable to single-qubit relaxation rates, irrespective of its size or composition. This characteristic allows us to accurately reconstruct the exponentially localized spatial profiles of the MEMs. Furthermore, the MEMs are found to be resilient against certain symmetry-breaking noise owing to a prethermalization mechanism. Our work elucidates the complex interplay between noise and symmetry-protected edge modes in a solid-state environment.

References in corpus (49)

• Fault-tolerant quantum computation by anyons
• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• Non-Abelian Anyons and Topological Quantum Computation
• Unpaired Majorana fermions in quantum wires
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Helical liquids and Majorana bound states in quantum wires
• Surface codes: Towards practical large-scale quantum computation
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Decoherence Free Subspaces for Quantum Computation
• Noiseless Quantum Codes
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Exponential Protection of Zero Modes in Majorana Islands
• On the phase structure of driven quantum systems
• Dynamical decoupling and noise spectroscopy with a superconducting flux qubit
• Spectral signatures of many-body localization with interacting photons
• Rigorous Bound on Energy Absorption and Generic Relaxation in Periodically Driven Quantum Systems
• Universal Fault-Tolerant Computation on Decoherence-Free Subspaces
• Effective Hamiltonians, prethermalization and slow energy absorption in periodically driven many-body systems
• Observation of Time-Crystalline Eigenstate Order on a Quantum Processor
• Electrometry Using Coherent Exchange Oscillations in a Singlet-Triplet-Qubit
• Information Scrambling in Computationally Complex Quantum Circuits
• A Rigorous Theory of Many-Body Prethermalization for Periodically Driven and Closed Quantum Systems
• Pre-thermal phases of matter protected by time-translation symmetry
• Measuring and Suppressing Quantum State Leakage in a Superconducting Qubit
• Floquet generation of Majorana end modes and topological invariants
• High-resolution studies of the Majorana atomic chain platform
• Hot non-equilibrium quasiparticles in transmon qubits
• Direct microwave measurement of Andreev-bound-state dynamics in a proximitized semiconducting nanowire
• Non-Majorana states yield nearly quantized conductance in superconductor-semiconductor nanowire devices
• Failure of protection of Majorana based qubits against decoherence
• Strong zero modes and eigenstate phase transitions in the XYZ/interacting Majorana chain
• Reduced phase error through optimized control of a superconducting qubit
• Decay rates for topological memories encoded with Majorana fermions
• Influence matrix approach to many-body Floquet dynamics
• Transmon platform for quantum computing challenged by chaotic fluctuations
• Topological Protection of Majorana Qubits
• Dephasing of Majorana-based qubits
• Prethermal Strong Zero Modes and Topological Qubits
• Accurately computing electronic properties of a quantum ring
• Single Quasiparticle Trapping in Aluminum Nanobridge Josephson Junctions
• Stability of many-body localization in Floquet systems
• Almost strong 0, π edge modes in clean, interacting 1D Floquet systems
• Scaling of temporal entanglement in proximity to integrability
• Observing and braiding topological Majorana modes on programmable quantum simulators
• Photonic implementation of Majorana-based Berry phases
• Coherent multiple-period states in a resonantly driven qubit

Cited by in corpus (58)

• Stable Quantum-Correlated Many Body States through Engineered Dissipation
• Hunting for Majoranas
• Disentangling Losses in Tantalum Superconducting Circuits
• Optimizing quantum gates towards the scale of logical qubits
• Chemical profiles of the oxides on tantalum in state of the art superconducting circuits
• Effective quantum volume, fidelity and computational cost of noisy quantum processing experiments
• Quantum simulation of topological zero modes on a 41-qubit superconducting processor
• Overcoming the entanglement barrier in quantum many-body dynamics via space-time duality
• Probing the Kitaev honeycomb model on a neutral-atom quantum computer
• A comprehensive survey on quantum computer usage: How many qubits are employed for what purposes?
• Simulating prethermalization using near-term quantum computers
• Measurement-Induced Quantum Synchronization and Multiplexing
• Observation of topological prethermal strong zero modes
• Analytical theory of cat scars with discrete time crystalline dynamics in Floquet systems
• Diagrammatic Monte Carlo for Dissipative Quantum Impurity Models
• Bosonization of the interacting Su-Schrieffer-Heeger model
• Decay rates of almost strong modes in Floquet spin chains beyond Fermi's Golden Rule
• Enhancement of photon blockade via topological edge states
• Edge modes and symmetry-protected topological states in open quantum systems
• Benchmarking universal quantum gates via channel spectrum
• Dynamics and Phases of Nonunitary Floquet Transverse-Field Ising Model
• Slowly decaying zero mode in a weakly non-integrable boundary impurity model
• Simulating Majorana zero modes on a noisy quantum processor
• From edge to bulk: Cavity induced displacement of topological non-local qubits
• Self-similar phase diagram of the Fibonacci-driven quantum Ising model
• Semi-group influence matrices for non-equilibrium quantum impurity models
• Robust spectral $\pi$ pairing in the random-field Floquet quantum Ising model
• Robustness and eventual slow decay of bound states of interacting microwave photons in the Google Quantum AI experiment
• Particle and thermal transport through one dimensional topological systems via Lindblad formalism
• Stabilization of Discrete Time-Crystaline Response on a Superconducting Quantum Computer by increasing the Interaction Range
• Observation of partial and infinite-temperature thermalization induced by repeated measurements on a quantum hardware
• A Model for Topological p-wave Superconducting Wires with Disorder and Interactions
• Observation of average topological phase in disordered Rydberg atom array
• Isolated zero mode in a quantum computer from a duality twist
• Non-Hermitian topological quantum states in a reservoir-engineered transmon chain
• Quantifying spatio-temporal patterns in classical and quantum systems out of equilibrium
• Moment method and continued fraction expansion in Floquet Operator Krylov Space
• Floquet Product Mode
• Quantum Enhanced Sensitivity through Many-Body Bloch Oscillations
• Protecting Quantum Information via Many-Body Dynamical Localization
• Experimental observation of exact quantum critical states
• Machine-learning-inspired quantum control in many-body dynamics
• Practical limitations of quantum data propagation on noisy quantum processors
• Polynomially restricted operator growth in dynamically integrable models
• Effect of dephasing on the current through a periodically driven quantum point contact
• Robust qubit interactions mediated by photonic topological edge states
• Realizing non-trivial doublon formation using a quantum computer
• Structure and scaling of Kitaev chain across a quantum critical point in real space
• Design and benchmarks for emulating Kondo dynamics on a quantum chip
• Integrals of motion as slow modes in dissipative many-body operator dynamics
• Nonequilibrium transport through an interacting monitored quantum dot
• Fourier Neural Operators for Time-Periodic Quantum Systems: Learning Floquet Hamiltonians, Observable Dynamics, and Operator Growth
• Shift of quantum critical point of discrete time crystal on a noisy quantum simulator
• Noise as a probe of Majorana fermion surface states
• Breakdown of the symmetry constraint in a Floquet topological insulator
• Dissipative Kondo physics in the Anderson Impurity Model with two-body losses
• Anomalous parametric resonance in a spin-1/2 chain: dynamical effects of nontrivial topology
• Robust and Parallel Control of Many Qubits