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Title: All possible coupling schemes in XY spin chains for perfect state transfer

Abstract

We investigate quantum state transfer in XY spin chains and propose a recursive procedure to construct the nonuniform couplings within these chains of arbitrary length in order to achieve perfect state transfer. We show that this method is capable of finding all possible coupling schemes for perfect state transfer. These schemes, without external control fields, involve analytically identified engineered couplings without the need for dynamical control. The analytical solutions provide all information for coupling design.

Authors:
; ;  [1];  [2]
  1. Institute of Intelligent Machines, Chinese Academy of Sciences, Hefei, 230031 (China)
  2. (United States)
Publication Date:
OSTI Identifier:
22038613
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 84; Journal Issue: 1; Other Information: (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANALYTICAL SOLUTION; COUPLING; HAMILTONIANS; QUANTUM STATES; SPIN

Citation Formats

Wang Yaoxiong, Shuang Feng, Rabitz, Herschel, and Department of Chemistry, Princeton University, Princeton, New Jersey 08544. All possible coupling schemes in XY spin chains for perfect state transfer. United States: N. p., 2011. Web. doi:10.1103/PHYSREVA.84.012307.
Wang Yaoxiong, Shuang Feng, Rabitz, Herschel, & Department of Chemistry, Princeton University, Princeton, New Jersey 08544. All possible coupling schemes in XY spin chains for perfect state transfer. United States. doi:10.1103/PHYSREVA.84.012307.
Wang Yaoxiong, Shuang Feng, Rabitz, Herschel, and Department of Chemistry, Princeton University, Princeton, New Jersey 08544. Fri . "All possible coupling schemes in XY spin chains for perfect state transfer". United States. doi:10.1103/PHYSREVA.84.012307.
@article{osti_22038613,
title = {All possible coupling schemes in XY spin chains for perfect state transfer},
author = {Wang Yaoxiong and Shuang Feng and Rabitz, Herschel and Department of Chemistry, Princeton University, Princeton, New Jersey 08544},
abstractNote = {We investigate quantum state transfer in XY spin chains and propose a recursive procedure to construct the nonuniform couplings within these chains of arbitrary length in order to achieve perfect state transfer. We show that this method is capable of finding all possible coupling schemes for perfect state transfer. These schemes, without external control fields, involve analytically identified engineered couplings without the need for dynamical control. The analytical solutions provide all information for coupling design.},
doi = {10.1103/PHYSREVA.84.012307},
journal = {Physical Review. A},
issn = {1050-2947},
number = 1,
volume = 84,
place = {United States},
year = {2011},
month = {7}
}