Teleportation via multi-qubit channels

  • Authors:

  • Jon Links;John Paul Barjaktarevic;Gerard J. Milburn;Ross H. McKenzie

  • Affiliations:

  • Department of Mathematics and Centre for Mathematical Physics, School of Physical Sciences, The University of Queensland, Brisbane, Queensland, Australia;Department of Physics and Centre for Mathematical Physics, School of Physical Sciences, The University of Queensland, Brisbane, Queensland, Australia;Department of Physics, Centre for Quantum Computer Technology and Centre for Mathematical Physics, School of Physical Sciences, The University of Queensland, Brisbane, Queensland, Australia;Department of Physics and Centre for Mathematical Physics, School of Physical Sciences, The University of Queensland, Brisbane, Queensland, Australia

  • Venue:
  • Quantum Information & Computation
  • Year:
  • 2006

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Abstract

We investigate the problem of teleporting an unknown qubit state to a recipient via achannel of 2L qubits. In this procedure a protocol is employed whereby L Bell statemeasurements are made and information based on these measurements is sent via a classicalchannel to the recipient. Upon receiving this information the recipient determinesa local gate which is used to recover the original state. We find that the 22L-dimensionalHilbert 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 ofBell measurements projects 2L qubits of the system into one of the four subspaces. Asa result, only two bits of classical information need be sent to the recipient for them todetermine the gate. We note some connections between these four subspaces and groundstates of many-body Hamiltonian systems, and discuss the implications of these resultstowards understanding entanglement in multi-qubit systems.