RQC Seminar

141st RQC Seminar

  • Speaker

    Dr. Masanori Hanada
    ( School of Mathematical Sciences, Queen Mary University of London )

  • Date

    16:00-17:00 (4:00 p.m.- 5:00 p.m.), August 14, 2024 (Wednesday)

  • Venue

    Hybrid(ZOOM・ Wako Main Research 3F 345-347 Seminar Room/ 研究本館3階 セミナー室(345-347) C01）

  • Title

    A simple Hamiltonian for quantum simulation of QCD

  • Inquiries

    rqc_info[at]ml.riken.jp

Abstract
Suppose we get a fault-tolerant universal quantum computer with an arbitrary number of logical qubits. Can we study QCD, then? In other words, is there a formulation of QCD that can be programmed on a quantum computer?

A standard approach is to replace the continuum space with a lattice and define a lattice Hamiltonian. A popular option for this purpose is the Kogut-Susskind (KS) Hamiltonian. But there is a big problem here: one still has to truncate the infinite-dimensional Hilbert space associated with bosons degrees of freedom (gauge field in this case), but such a truncation in the KS formulation is very complicated, and it is hard to write down the explicit form of the truncated Hamiltonian.

We show a simple alternative that resolves this issue: the orbifold lattice formulation. The Hamiltonian is much simpler, and it is almost trivial to write down the truncated Hamiltonian explicitly so that it can readily be put on a quantum computer.



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