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Your search keyword '"Shiang Yong Looi"' showing total 3 results
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3 results on '"Shiang Yong Looi"'

1. Location of quantum information in additive graph codes

Author

Vlad Gheorghiu, Robert B. Griffiths, and Shiang Yong Looi

Subjects
Discrete mathematics, Physics, Quantum network, Quantum Physics, FOS: Physical sciences, Coherent information, Quantum capacity, Quantum channel, 01 natural sciences, Atomic and Molecular Physics, and Optics, 010305 fluids & plasmas, Quantum mechanics, 0103 physical sciences, Quantum operation, Quantum algorithm, Quantum information, 010306 general physics, Quantum information science, Quantum Physics (quant-ph)
Abstract

The location of quantum information in various subsets of the qudit carriers of an additive graph code is discussed using a collection of operators on the coding space which form what we call the information group. It represents the input information through an encoding operation constructed as an explicit quantum circuit. Partial traces of these operators down to a particular subset of carriers provide an isomorphism of a subgroup of the information group, and this gives a precise characterization of what kinds of information they contain. All carriers are assumed to have the same dimension D, an arbitrary integer greater than 1., Comments are welcome. 17 pages with 4 figures

Published
2009

2. Tripartite entanglement in qudit stabilizer states and application in quantum error correction.

Author

Shiang Yong Looi and Griffithst, Robert B.

Subjects
*EINSTEIN-Podolsky-Rosen experiment, *QUANTUM information science, *QUANTUM entanglement, *ERROR-correcting codes, *TENSOR products
Abstract

Consider a stabilizer state on n qudits, each of dimension D with D being a prime or squarefree integer, divided into three mutually disjoint sets or parts. Generalizing a result of Bravyi et al. [J. Math. Phys. 47, 062106 (2006)] for qubits (D = 2), we show that up to local unitaries, the three parts of the state can be written as tensor product of unentangled signle-qudit states, maximally entangled Einstein-Podolsky-Rosen (EPR) pairs, and tripartite Greenberger-Horne-Zeilinger (GHZ) states. We employ this result to obtain a complete characterization of the properties of a class of channels associated with stabilizer error-correcting codes, along with their complementary channels. [ABSTRACT FROM AUTHOR]

Published
2011
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