Perfect function transfer in two and three dimensions without initialization

Journal Article · Mon Nov 15 04:00:00 UTC 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.052339· OSTI ID:21528618

Lianao, Wu ^[1]; Byrd, Mark ^[2]; Wang, Z D ^[3]; Bin, Shao ^[4]

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1. Department of Theoretical Physics and History of Science, The Basque Country University (EHU/UPV), P. O. Box 644, 48080 Bilbao (Spain)
2. Physics Department, Southern Illinois University, Carbondale, Illinois 62901-4401 (United States)
3. Department of Physics and Center of Theoretical and Computational Physics, University of Hong Kong, Pokfulam Road (Hong Kong)
4. Department of Physics, Beijing Institute of Technology, Beijing, 100081 China (China)

We find analytic models that can perfectly transfer, without state initialization or remote collaboration, arbitrary functions in two- and three-dimensional interacting bosonic and fermionic networks. This provides for the possible experimental implementation of state transfer through bosonic or fermionic atoms trapped in optical lattices. A significant finding is that the state of a spin qubit can be perfectly transferred through a fermionic system. Families of Hamiltonians are described that are related to the linear models and that enable the perfect transfer of arbitrary functions. Furthermore, we propose methods for eliminating certain types of errors.

• OSTI ID: 21528618
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 5 Vol. 82; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ANALYTIC FUNCTIONS
ANGULAR MOMENTUM
ATOMS
BOSONS
FERMIONS
FUNCTIONS
HAMILTONIANS
MATHEMATICAL OPERATORS
PARTICLE PROPERTIES
QUANTUM OPERATORS
SPIN
THREE-DIMENSIONAL CALCULATIONS
TRAPPING