Digital-analog quantum simulation of generalized Dicke models with superconducting circuits

Area of Science:

• Quantum Computing
• Condensed Matter Physics
• Quantum Simulation

Background:

• Generalized Dicke models describe complex light-matter interactions.
• Simulating these models is crucial for understanding quantum phenomena.
• Existing methods face scalability challenges.

Purpose of the Study:

• To propose a novel digital-analog quantum simulation strategy.
• To enable efficient simulation of generalized Dicke models across all coupling regimes.
• To leverage superconducting circuits for scalable quantum simulations.

Main Methods:

• Encoding generalized Dicke models onto superconducting qubits coupled to a transmission line resonator.
• Utilizing digital-analog techniques for quantum simulation.
• Decomposing problems into analog qubit-bosonic blocks and digital single-qubit pulses.

Main Results:

• Demonstration of an efficient quantum simulation protocol.
• Requirement of a single global analog block with fast periodic pulses.
• Reduced digital error and gate count per digital step, independent of qubit number.

Conclusions:

• The proposed digital-analog approach enables scalable quantum simulation of many-body dynamics.
• This method is suitable for superconducting circuit quantum electrodynamics platforms.
• It facilitates the study of bosonic modes and spin degrees of freedom in quantum systems.