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.

5 pages + Supplemental Material, 2 + 1 figures

References in corpus (7)

• Charge insensitive qubit design derived from the Cooper pair box
• Low-Disorder Microwave Cavity Lattices for Quantum Simulation with Photons
• Cold atom simulation of interacting relativistic quantum field theories
• Tunable coupling in circuit quantum electrodynamics with a superconducting V-system
• A superconducting qubit with Purcell protection and tunable coupling
• Many-Body Interactions with Tunable-Coupling Transmon Qubits
• Simulating weak localization using superconducting quantum circuits

Cited by in corpus (14)

• Digital quantum simulation of fermionic models with a superconducting circuit
• High-Energy Collision of Quarks and Mesons in the Schwinger Model: From Tensor Networks to Circuit QED
• Toward Quantum Simulations of ${\mathbb{Z}}_2$ Gauge Theory Without State Preparation
• Digital-analog quantum simulation of generalized Dicke models with superconducting circuits
• Robust and Efficient Hamiltonian Learning
• Quantum Simulation of Chiral Phase Transitions
• 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
• Detecting the critical point through entanglement in Schwinger model
• Robustness of quantum correlation in quantum energy teleportation
• Superconducting Quantum Simulation for Many-Body Physics beyond Equilibrium
• 3+1 Dimension Schwinger Pair Production with Quantum Computers
• Negative string tension of higher-charge Schwinger model via digital quantum simulation