Realizing the two-dimensional hard-core Bose-Hubbard model with superconducting qubits

Abstract

The pursuit of superconducting-based quantum computers has advanced the fabrication of and experimentation with custom lattices of qubits and resonators. Here, we describe a roadmap to use present experimental capabilities to simulate an interacting many-body system of bosons and measure quantities that are exponentially difficult to calculate numerically. We focus on the two-dimensional hard-core Bose-Hubbard model implemented as an array of floating transmon qubits. We describe a control scheme for such a lattice that can perform individual qubit readout and show how the scheme enables the preparation of a highly-excited many-body state, in contrast with atomic implementations restricted to the ground state or thermal equilibrium. We discuss what observables could be accessed and how they could be used to better understand the properties of many-body systems, including the observation of the transition of eigenstate entanglement entropy scaling from area law behavior to volume law behavior

arXiv comment14 pages, 8 figures

References in corpus (45)

• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Charge insensitive qubit design derived from the Cooper pair box
• Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
• Quantum Simulation
• Area laws for the entanglement entropy - a review
• A Practical Introduction to Tensor Networks: Matrix Product States and Projected Entangled Pair States
• A Quantum Engineer's Guide to Superconducting Qubits
• Introduction to Quantum Noise, Measurement and Amplification
• Superconducting Qubits: Current State of Play
• Ultrastrong coupling regimes of light-matter interaction
• Decoherence in Josephson Qubits from Dielectric Loss
• Fluxonium: single Cooper pair circuit free of charge offsets
• Coherent Josephson qubit suitable for scalable quantum integrated circuits
• Quantum simulation of the Dirac equation
• Superconducting qubit-oscillator circuit beyond the ultrastrong-coupling regime
• Building logical qubits in a superconducting quantum computing system
• Deep Strong Coupling Regime of the Jaynes-Cummings model
• Detecting arbitrary quantum errors via stabilizer measurements on a sublattice of the surface code
• Controlling the spontaneous emission of a superconducting transmon qubit
• Ultrastrong coupling of a single artificial atom to an electromagnetic continuum in the nonperturbative regime
• Spectral signatures of many-body localization with interacting photons
• A blueprint for demonstrating quantum supremacy with superconducting qubits
• Fermionic transport in a homogeneous Hubbard model: Out-of-equilibrium dynamics with ultracold atoms
• A tunable coupling scheme for implementing high-fidelity two-qubit gates
• Short-range quantum magnetism of ultracold fermions in an optical lattice
• A Dissipatively Stabilized Mott Insulator of Photons
• Realizing Rapid, High-Fidelity, Single-Shot Dispersive Readout of Superconducting Qubits
• Introduction to Quantum Electromagnetic Circuits
• Circuit QED lattices: towards quantum simulation with superconducting circuits
• Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect
• Demonstration of Universal Parametric Entangling Gates on a Multi-Qubit Lattice
• Rapid high-fidelity multiplexed readout of superconducting qubits
• 3D integrated superconducting qubits
• Variational study of hard-core bosons in a 2-D optical lattice using Projected Entangled Pair States (PEPS)
• Rényi Entropies from Random Quenches in Atomic Hubbard and Spin Models
• Improved superconducting qubit coherence using titanium nitride
• Statistical correlations between locally randomized measurements: a toolbox for probing entanglement in many-body quantum states
• The power of random measurements: measuring Tr(ρ^n) on single copies of ρ
• Superconducting Circuits for Quantum Simulation of Dynamical Gauge Fields
• Efficient Quantum Algorithm for Computing n-time Correlation Functions
• Concentric transmon qubit featuring fast tunability and an anisotropic magnetic dipole moment
• Numerical study of the hard-core Bose-Hubbard Model on an Infinite Square Lattice
• Bath-induced band decay of a Hubbard lattice gas
• Resilience of the quantum Rabi model in circuit QED

Cited by in corpus (36)

• Engineered Dissipation for Quantum Information Science
• Efficient multiphoton sampling of molecular vibronic spectra on a superconducting bosonic processor
• Probing quantum information propagation with out-of-time-ordered correlators
• Quantum transport and localization in 1d and 2d tight-binding lattices
• Photon transport in a Bose-Hubbard chain of superconducting artificial atoms
• Critical quantum metrology assisted by real-time feedback control
• High Coherence in a Tileable 3D Integrated Superconducting Circuit Architecture
• Topological two-dimensional Floquet lattice on a single superconducting qubit
• Unimon qubit
• Flat-band localization and interaction-induced delocalization of photons
• Probing entanglement across the energy spectrum of a hard-core Bose-Hubbard lattice
• Kinetically Constrained Quantum Dynamics in Superconducting Circuits
• Engineering the microwave to infrared noise photon flux for superconducting quantum systems
• Implementing a synthetic magnetic vector potential in a 2D superconducting qubit array
• Simulation of complex dynamics of mean-field $p$-spin models using measurement-based quantum feedback control
• Beyond hard-core bosons in transmon arrays
• Localized dynamics following a quantum quench in a non-integrable system: An example on the sawtooth ladder
• Arbitrary synthetic dimensions via multi-boson dynamics on a one-dimensional lattice
• Probing spin hydrodynamics on a superconducting quantum simulator
• Distinguishing Quantum Phases through Cusps in Full Counting Statistics
• Generation of complete graph states in a spin-$1/2$ Heisenberg chain with a globally optimized magnetic field
• AdS/CFT Correspondence with a 3D Black Hole Simulator
• Parameterized Hamiltonian simulation using quantum optimal control
• Soliton versus single photon quantum dynamics in arrays of superconducting qubits
• Non-Hermitian ultra-strong bosonic clustering through interaction-induced caging
• Fermionic Quantum Simulation on Andreev Bound State Superlattices
• Quantum state transfer using 1D Heisenberg Hamiltonian on quasi-1D lattices
• Agnostic Process Tomography
• Estimating entanglement in 2D Heisenberg model in the strong rung-coupling limit
• Shot-noise reduction for lattice Hamiltonians
• All-optical switching at the two-photon limit with interference-localized states
• Coherence, Transport, and Chaos in 1D Bose-Hubbard Model: Disorder vs. Stark Potential
• Fourier-style Quantum State Tomography and Purity Measurement of a Multi-qubit System from Bloch Rotations
• Environmental Quantum States Trigger Emission in Nonlinear Photonics
• Supercorrelated decay in a quasiperiodic nonlinear waveguide: From Markovian to non-Markovian transitions
• Analog Circuit-QED Simulator of Quantum Spin Dynamics Through the Extended Bose-Hubbard Model