Teleportation via Multi-Qubit Channels

Links, J., Barjaktarevic, J. P., Milburn, G. J. and McKenzie, R. H. (2006) Teleportation via Multi-Qubit Channels. Quantum Information and Computation, 6 7: 641-670.


Author Links, J.
Barjaktarevic, J. P.
Milburn, G. J.
McKenzie, R. H.
Title Teleportation via Multi-Qubit Channels
Journal name Quantum Information and Computation
ISSN 1533-7146
Publication date 2006-01-01
Sub-type Article (original research)
Volume 6
Issue 7
Start page 641
End page 670
Total pages 30
Editor Wei Chen
Place of publication United States
Publisher Rinton Press Inc
Language eng
Subject C1
249999 Physical Sciences not elsewhere classified
780102 Physical sciences
Abstract We investigate the problem of teleporting an unknown qubit state to a recipient via a channel of 2L qubits. In this procedure a protocol is employed whereby L Bell state measurements are made and information based on these measurements is sent via a classical channel to the recipient. Upon receiving this information the recipient determines a local gate which is used to recover the original state. We find that the 2(2L)-dimensional Hilbert space of states available for the channel admits a decomposition into four subspaces. Every state within a given subspace is a perfect channel, and each sequence of Bell measurements projects 2L qubits of the system into one of the four subspaces. As a result, only two bits of classical information need be sent to the recipient for them to determine the gate. We note some connections between these four subspaces and ground states of many-body Hamiltonian systems, and discuss the implications of these results towards understanding entanglement in multi-qubit systems.
Keyword Computer Science, Theory & Methods
Physics, Particles & Fields
Physics, Mathematical
Teleportation
Bell Measurement
Fidelity
Tolerant Quantum Computation
Bond Ground-states
Multiparticle Entanglement
Antiferromagnets
Q-Index Code C1

 
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Created: Wed, 15 Aug 2007, 20:24:15 EST