It is known that nonlocal two-qubit gates are geometrically represented by tetrahedron called as Weyl chamber. Two edges of the Weyl chamber are formed by SWAP ±α family gates with 0 ≤ α ≤ 1. In this work SWAP ±α are being realized as two spin system with isotropic Heisenberg exchange interaction. The real parameter α is shown to be the function of duration and strength of interaction. Entanglement of the states generated by these two families of gates is studied with concurrence. Significance of time scale in realizing CNOT using SWAP ±1/2 is highlighted. © 2015 AIP Publishing LLC.

Balakrishnan S

Department of Physics

School of Advanced Sciences

Vellore Campus

R. Muthuganesan

R. Sankaranarayanan

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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Study on isotropic Heisenberg interaction for the realization of SWAP ±α gates

AIP Conference Proceedings

In this work, we study the system of three spin qubits exhibiting pure Dzialoshinskii-Moriya interaction, shortly DM interaction. The dynamics and the concurrence-the measure of the entanglement, are analyzed. It is found that higher the DM interaction strength, shorter will be the duration of two-qubit gate operations. © Published under licence by IOP Publishing Ltd.

Fulltext

IOP Conference Series: Materials Science and Engineering

Entanglement of spin qubits involving pure DM interaction

Realization of SWAPα gates with 0 ≤ α ≤ 1 using pure Dzialoshinskii-Moriya interaction (DM) is shown. The real parameter a depends on interaction time and DM coupling parameter. Entanglement of evolved states under DM interaction is analysed. © OSA 2017.

Journal	Data powered by TypesetAIP Conference Proceedings
Publisher	Data powered by TypesetAIP Publishing LLC
ISSN	0094243X
Open Access	No