• Editors' Suggestion

Constructing qudits from infinite-dimensional oscillators by coupling to qubits

Yuan Liu, Jasmine Sinanan-Singh, Matthew T. Kearney, Gabriel Mintzer, and Isaac L. Chuang
Phys. Rev. A 104, 032605 – Published 8 September 2021

Abstract

An infinite-dimensional system such as a quantum harmonic oscillator offers a potentially unbounded Hilbert space for computation, but accessing and manipulating the entire state space requires a physically unrealistic amount of energy. When such a quantum harmonic oscillator is coupled to a qubit, for example via a Jaynes-Cummings interaction, it is well known that the total Hilbert space can be separated into independently accessible subspaces of constant energy, but the number of subspaces is still infinite. Nevertheless, a closed four-dimensional Hilbert space can be analytically constructed from the lowest energy states of the qubit-oscillator system. We extend this idea and show how a d-dimensional Hilbert space can be analytically constructed, which is closed under a finite set of unitary operations resulting solely from manipulating standard Jaynes-Cummings Hamiltonian terms. Moreover, we prove that the first-order sideband pulses and carrier pulses comprise a universal set for quantum operations on the qubit-oscillator qudit. This work suggests that the combination of a qubit and a bosonic system may serve as hardware-efficient quantum resources for quantum information processing.

  • Figure
  • Figure
  • Figure
  • Figure
  • Figure
  • Received 7 May 2021
  • Accepted 20 August 2021

DOI:https://doi.org/10.1103/PhysRevA.104.032605

©2021 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyAtomic, Molecular & Optical

Authors & Affiliations

Yuan Liu1,*, Jasmine Sinanan-Singh1, Matthew T. Kearney2, Gabriel Mintzer3,2, and Isaac L. Chuang1,2

  • 1Department of Physics, Co-Design Center for Quantum Advantage, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 2Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA
  • 3Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA

  • *Corresponding author: yuanliu@mit.edu

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 104, Iss. 3 — September 2021

Reuse & Permissions
Access Options
CHORUS

Article Available via CHORUS

Download Accepted Manuscript
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×