Commonly implemented two qubit gates for superconducting qubits






Slides: https://docs.google.com/presentation/d/1xMrhTVtNR0XF4UFR98x7VzrsEe0B7TZyvq8Oh5STYcw/edit?usp=sharing

These slides are shared publicly. They have been revised from the slides in the video to be utilizable as a stand-alone resource.

Speakers: Sagnik Banerjee and Rahul Saha

Title: Commonly implemented two qubit gates for superconducting qubits

Abstract:

Among all quantum information processing architectures available, superconducting qubits has been a promising field of research. Designing high fidelity quantum gates, and implementing them to build practical quantum architectures is a key to build the computational infrastructure required to realize complex quantum algorithms. In this talk, we discuss some commonly implemented two-qubit gates to perform simple quantum information processing operations like quantum information swapping, applying a controlled phase, cross resonance etc. The broad classification of quantum gates, viz, flux tunable and microwave gates has been explained in elaborate detail. Understanding the physics of these commonly implemented two qubit gates is very crucial to realize feasible quantum information processing architectures.

Although this talk is intended to those having some basic knowledge of superconducting qubits and their associated physics, it can be a nice exposure even to perfect newbies in this domain. However, some idea of Quantum Mechanics is essentially required to grasp the rich physics of this field. Nevertheless, we hope that our contribution will serve as a good resource to understanding some commonly implemented two qubit gates :)


Connect with the speakers:

Sagnik Banerjee:

Linkedin ID: https://www.linkedin.com/in/sagnik-banerjee-66300517b/

email: sagnik.banerjee01@gmail.com


Rahul Saha:

Linkedin ID: https://www.linkedin.com/in/rahul-saha-7a26251a3/

email: rahulsaha.juetce@gmail.com


Refresh your memory and get comfortable before we start:

  1. Introduction To Transmon Qubits and Its Relating Physics: https://www.youtube.com/playlist?list=PLOFEBzvs-VvrXTMy5Y2IqmSaUjfnhvBHR [Video: 17-19]

    For Reference : [Video: 20-22]

  2. For Reversibility and other properties of a Closed Quantum System or a Quantum State: https://www.youtube.com/watch?v=P-mGqiKcEKE&list=PLmRxgFnCIhaMgvot-Xuym_hn69lmzIokg&index=7
  3. To understand this talk, look up or refresh your memory on these definitions before viewing: Dirac notation, one qubit gates, Hamiltonians, energy level degeneracy, adiabatic process, analog electronics circuits
  4. https://www.youtube.com/watch?v=h6FYs_AUCsQ

    For understanding the concept of Hamiltonians in a detailed way https://ocw.mit.edu/ans7870/18/18.013a/textbook/HTML/chapter16/section03.html

  5. Introduction To Linear Algebra: https://qiskit.org/textbook/ch-appendix/linear_algebra.html


References

  1. A Quantum Engineer’s Guide to Superconducting Qubits

    AND

    To understand the basics of Circuit Quantum Electrodynamics: https://qiskit.org/textbook/ch-quantum-hardware/cQED-JC-SW.html

  2. iSWAP gate: https://nbviewer.jupyter.org/github/jrjohansson/qutip-lectures/blob/master/Lecture-7-iSWAP-gate.ipynb
  3. CR gate papers and reviews:

    https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.107.080502

    https://journals.aps.org/pra/abstract/10.1103/PhysRevA.101.052308

  4. MAP gate: https://arxiv.org/abs/1307.2594