Quantum computers based on rare-earth compounds and PT- and anti-PT symmetric qubits

Darayas N. Patel; Sergey S. Sarkisov; Abdalla M. Darwish

doi:10.1117/12.2600882

11 July 2021 Quantum computers based on rare-earth compounds and PT- and anti-PT symmetric qubits

Darayas N. Patel, Sergey S. Sarkisov, Abdalla M. Darwish

Proceedings Volume 11844, Photonics for Quantum 2021; 118440X (2021) https://doi.org/10.1117/12.2600882
Event: Photonics for Quantum, 2021, Online Only

Conference Poster

Abstract

Hardware of modern quantum computing (QC) platforms is based mainly on superconductors and ion traps. It demands ultra-low temperature and high vacuum. Practicality and scaling up thus remain questionable. This work analyzes the alternative based on the micro- and nanoparticles of the compounds of Rare Earth (RE) elements, such as phosphors NaYF₄: X³⁺ (X stands for Tm, Er, etc.), embedded in polymer matrices. The qubits in these systems correspond to the quantum levels of 4f electrons of RE ions, and they have optical frequencies. Qubit formation is supported by the properties of RE ions: (a) weak interaction with the environment, (b) strong inhomogeneous crystal field, and (c) the ability of neighboring ions, being in some 4f states, to interact with each other through the mechanism of Stark blockade. The latter is required for quantum conditional gate operations, such as Controlled NOT (CNOT – the basic block of a quantum computer circuit). Optical spectroscopy indicated that CNOT gate can be implemented, for instance, using the transitions in for-level system of Tm³⁺ ions |³H₆> (ground state), |³H₄> (state 0), |¹D₂> (state 1), and |¹I₆> (auxiliary state 1’) activated with conventional tunable lasers at 451, 653, 798, and 1459 nm. We also considered the PT- and anti-PT-symmetry on the decoherence rate of the qubits. PT-symmetric Hamiltonian H(x) has its real part symmetric versus x-coordinate, and the anti-PT-symmetric one is anti-symmetric. Anti-PT symmetric qubits tend to be more decoherence stable than the others. It was suggested that the anti-PT-symmetry can be introduce via coupling of the qubits to anti-PT-symmetric cavities using RE-doped compounds as gain media.

Conference Presentation

Citation Download Citation

Darayas N. Patel, Sergey S. Sarkisov, and Abdalla M. Darwish "Quantum computers based on rare-earth compounds and PT- and anti-PT symmetric qubits", Proc. SPIE 11844, Photonics for Quantum 2021, 118440X (11 July 2021); https://doi.org/10.1117/12.2600882

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available