Sequential quantum simulation of spin chains with a single circuit QED device

Abstract

Quantum simulation of many-body systems in materials science and chemistry are promising application areas for quantum computers. However, the limited scale and coherence of near-term quantum processors pose a significant obstacle to realizing this potential. Here, we theoretically outline how a single-circuit quantum electrodynamics (cQED) device, consisting of a transmon qubit coupled to a long-lived cavity mode, can be used to simulate the ground state of a highly-entangled quantum many-body spin chain. We exploit recently developed methods for implementing quantum operations to sequentially build up a matrix product state (MPS) representation of a many-body state. This approach re-uses the transmon qubit to read out the state of each spin in the chain and exploits the large state space of the cavity as a quantum memory encoding inter-site correlations and entanglement. We show, through simulation, that analog (pulse-level) control schemes can accurately prepare a known MPS representation of a quantum critical spin chain in significantly less time than digital (gate-based) methods, thereby reducing the exposure to decoherence. We then explore this analog-control approach for the variational preparation of an unknown ground state. We demonstrate that the large state space of the cavity can be used to replace multiple qubits in a qubit-only architecture, and could therefore simplify the design of quantum processors for materials simulation. We explore the practical limitations of realistic noise and decoherence and discuss avenues for scaling this approach to more complex problems that challenge classical computational methods.

arXiv comment9 pages, 4 figures

References in corpus (41)

• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• A variational eigenvalue solver on a quantum processor
• The World as a Hologram
• Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
• Circuit Quantum Electrodynamics
• Encoding a qubit in an oscillator
• NMR Techniques for Quantum Control and Computation
• Quantum computation over continuous variables
• The Variational Quantum Eigensolver: a review of methods and best practices
• Dynamically protected cat-qubits: a new paradigm for universal quantum computation
• Tensor networks for complex quantum systems
• Sequential generation of entangled multi-qubit states
• Implementing a Universal Gate Set on a Logical Qubit Encoded in an Oscillator
• Hybrid quantum-classical approach to correlated materials
• On-demand quantum state transfer and entanglement between remote microwave cavity memories
• Cavity State Manipulation Using Photon-Number Selective Phase Gates
• Real- and imaginary-time evolution with compressed quantum circuits
• Fast Universal Control of an Oscillator with Weak Dispersive Coupling to a Qubit
• Universal Control of an Oscillator with Dispersive Coupling to a Qubit
• Variational Quantum Eigensolver with Fewer Qubits
• Efficient multiphoton sampling of molecular vibronic spectra on a superconducting bosonic processor
• Isometric Tensor Network States in Two Dimensions
• Random access quantum information processors
• Parallel Quantum Simulation of Large Systems on Small Quantum Computers
• Phase Diagram of the Interacting Majorana Chain Model
• Holographic quantum algorithms for simulating correlated spin systems
• The Variational Power of Quantum Circuit Tensor Networks
• Robust preparation of Wigner-negative states with optimized SNAP-displacement sequences
• Seamless high-Q microwave cavities for multimode circuit QED
• Isometric Tensor Network representation of string-net liquids
• Deterministic Hadamard gate for microwave "cat-state" qubits in cQED
• Observation of wave-packet branching through an engineered conical intersection
• Engineering dissipation with resistive elements in circuit quantum electrodynamics
• Efficient Simulation of Dynamics in Two-Dimensional Quantum Spin Systems with Isometric Tensor Networks
• Entanglement from tensor networks on a trapped-ion QCCD quantum computer
• Holographic simulation of correlated electrons on a trapped ion quantum processor
• Autonomous Quantum State Transfer by Dissipation Engineering
• Thermal variational quantum simulation on a superconducting quantum processor
• Time Evolution of Uniform Sequential Circuits
• Generation of photonic tensor network states with Circuit QED
• Straddling-gates problem in multipartite quantum systems

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