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Title: Study on isotropic Heisenberg interaction for the realization of SWAP {sup ±α} gates

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{sup ±α} family gates with 0 ≤ α ≤ 1. In this work SWAP{sup ±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{sup ±1/2} is highlighted.
Authors:
;  [1] ;  [2]
  1. Department of Physics, National Institute of Technology, Tiruchirappalli, Tamilnadu– 620015 (India)
  2. Materials Physics Division, School of Advanced Sciences, VIT University, Vellore– 632014 (India)
Publication Date:
OSTI Identifier:
22490584
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1665; Journal Issue: 1; Conference: 59. DAE solid state physics symposium 2014, Tamilnadu (India), 16-20 Dec 2014; Other Information: (c) 2015 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EXCHANGE INTERACTIONS; FUNCTIONS; HEISENBERG MODEL; QUANTUM ENTANGLEMENT; QUBITS; SPIN