Fermion-Fermion Scattering in Quantum Field Theory with Superconducting Circuits

Abstract

We propose an analog-digital quantum simulation of fermion-fermion scattering mediated by a continuum of bosonic modes within a circuit quantum electrodynamics scenario. This quantum technology naturally provides strong coupling of superconducting qubits with a continuum of electromagnetic modes in an open transmission line. In this way, we propose qubits to efficiently simulate fermionic modes via digital techniques, while we consider the continuum complexity of an open transmission line to simulate the continuum complexity of bosonic modes in quantum field theories. Therefore, we believe that the complexity-simulating-complexity concept should become a leading paradigm in any effort towards scalable quantum simulations.

arXiv comment5 pages + Supplemental Material, 2 + 1 figures

References in corpus (32)

• Circuit Quantum Electrodynamics: Coherent Coupling of a Single Photon to a Cooper Pair Box
• Charge insensitive qubit design derived from the Cooper pair box
• Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
• Quantum Simulation
• Logic gates at the surface code threshold: Superconducting qubits poised for fault-tolerant quantum computing
• Observation of high coherence in Josephson junction qubits measured in a three-dimensional circuit QED architecture
• Multi-particle entanglement of hot trapped ions
• A Superconducting Persistent Current Qubit
• Coherent dynamics of a flux qubit coupled to a harmonic oscillator
• Resonance Fluorescence of a Single Artificial Atom
• Qubit architecture with high coherence and fast tunable coupling
• Quantum Algorithms for Quantum Field Theories
• The Single-Photon Router
• Implementing the Quantum von Neumann Architecture with Superconducting Circuits
• Implementing a strand of a scalable fault-tolerant quantum computing fabric
• Simulating lattice gauge theories on a quantum computer
• Low-Disorder Microwave Cavity Lattices for Quantum Simulation with Photons
• Generation of nonclassical microwave states using an artificial atom in 1D open space
• Cold atom simulation of interacting relativistic quantum field theories
• Tunable coupling in circuit quantum electrodynamics with a superconducting V-system
• Flux Qubits with Long Coherence Times for Hybrid Quantum Circuits
• Quantum simulation of a lattice Schwinger model in a chain of trapped ions
• A superconducting qubit with Purcell protection and tunable coupling
• An Optical-Lattice-Based Quantum Simulator For Relativistic Field Theories and Topological Insulators
• Quantum Simulation of Interacting Fermion Lattice Models in Trapped Ions
• Quantum Simulation of Quantum Field Theories in Trapped Ions
• Microwave Quantum Optics with an Artificial Atom
• Digital Quantum Simulation of the Holstein Model in Trapped Ions
• Many-Body Interactions with Tunable-Coupling Transmon Qubits
• Simulating weak localization using superconducting quantum circuits
• Transmon-based simulator of nonlocal electron-phonon coupling: A platform for observing sharp small-polaron transitions
• Dual-Path Methods for Propagating Quantum Microwaves

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• Classically emulated digital quantum simulation for screening and confinement in the Schwinger model with a topological term
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• Analog cosmological particle generation in a superconducting circuit
• Interaction-Dependent Photon-Assisted Tunneling in Optical Lattices: A Quantum Simulator of Strongly-Correlated Electrons and Dynamical Gauge Fields
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• Entanglement of superconducting qubits via acceleration radiation
• Quantum Simulation of Abelian Lattice Gauge Theories via State-Dependent Hopping
• Fermion-antifermion scattering via boson exchange in a trapped ion
• Quantum sensors for the generating functional of interacting quantum field theories
• Quench dynamics of the Schwinger model via variational quantum algorithms
• Collider Events on a Quantum Computer
• Nearly-optimal state preparation for quantum simulations of lattice gauge theories
• Quantum chemistry and charge transport in biomolecules with superconducting circuits
• Effects of gate errors in digital quantum simulations of fermionic systems
• Beyond adiabatic elimination: Effective Hamiltonians and singular perturbation
• Quantum Simulation of Spin Chains Coupled to Bosonic Modes with Superconducting Circuits
• Detecting the critical point through entanglement in Schwinger model
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• Unsupervised Event Classification with Graphs on Classical and Photonic Quantum Computers
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• Realizing universal quantum gates with topological bases in quantum-simulated superconducting chains
• Negative string tension of higher-charge Schwinger model via digital quantum simulation