I am a graduate student in the Department of Computer Engineering, and I am currently doing research on superconducting quantum computers. In particular, I am focusing on quantum annealing machines and working on building a simulation environment for quantum annealing machines.
In order to simulate the quantum mechanical behavior of quantum annealing machines, we need to know the Hamiltonian of superconducting quantum circuits, so I investigated the Hamiltonian of real machines by reading the following paper from D-Wave.
- Experimental Demonstration of a Robust and Scalable Flux Qubit
- Experimental Investigation of an Eight Qubit Unit Cell in a Superconducting Optimization Processor
- A Compound Josephson Junction Coupler for Flux Qubits With Minimal Crosstalk
From these references, we have been able to grasp the structure of the quantum annealing machine. However, because the paper introduces a Hamiltonian in the descent, In particular, the equations for the rf-SQUID (made by compound Josephson junction or compound-compound Josephson junction) that makes up the qubit are difficult to understand.
What knowledge do I need to understand the Hamiltonian of this qubit? And I would like you to suggest a suitable textbook/paper. I have studied computer science, basic quantum mechanics, statistical mechanics, and quantum information.
Also, if possible, I would like to know if there is a tool that can simulate a superconducting quantum circuit taking into account the applied flux bias.
