Entanglement, information and multiparticle quantum operations

Anthony Chefles, Claire R. Gilson, Stephen M. Barnett

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Collective operations on a network of spatially-separated quantum systems can be carried out using local quantum (LQ) operations, classical communication (CC) and shared entanglement (SE). Such operations can also be used to communicate classical information and establish entanglement between distant parties. We show how these facts lead to measures of the inseparability of quantum operations, and argue that a maximally-inseparable operation on 2 qubits is the SWAP operation. The generalisation of our argument to N qubit operations leads to the conclusion that permutation operations are maximally-inseparable. For even N, we find the minimum SE and CC resources which are sufficient to perform an arbitrary collective operation. These minimum resources are 2(N − 1) ebits and 4(N − 1) bits, and these limits can be attained using a simple teleportation-based protocol. We also obtain lower bounds on the minimum resources for the odd case. For all N4, we show that the SE/CC resources required to perform an arbitrary operation are strictly greater than those that any operation can establish/communicate.
LanguageEnglish
Article number032314
Number of pages17
JournalPhysics Letters A
Volume63
Issue number3
DOIs
Publication statusPublished - 15 Feb 2001

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communication
resources
permutations

Keywords

  • entanglement
  • quantum physics
  • multiparticle quantum operations
  • teleportation

Cite this

Chefles, Anthony ; Gilson, Claire R. ; Barnett, Stephen M. / Entanglement, information and multiparticle quantum operations. In: Physics Letters A. 2001 ; Vol. 63, No. 3.
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Entanglement, information and multiparticle quantum operations. / Chefles, Anthony; Gilson, Claire R.; Barnett, Stephen M.

In: Physics Letters A, Vol. 63, No. 3, 032314, 15.02.2001.

Research output: Contribution to journalArticle

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AU - Barnett, Stephen M.

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N2 - Collective operations on a network of spatially-separated quantum systems can be carried out using local quantum (LQ) operations, classical communication (CC) and shared entanglement (SE). Such operations can also be used to communicate classical information and establish entanglement between distant parties. We show how these facts lead to measures of the inseparability of quantum operations, and argue that a maximally-inseparable operation on 2 qubits is the SWAP operation. The generalisation of our argument to N qubit operations leads to the conclusion that permutation operations are maximally-inseparable. For even N, we find the minimum SE and CC resources which are sufficient to perform an arbitrary collective operation. These minimum resources are 2(N − 1) ebits and 4(N − 1) bits, and these limits can be attained using a simple teleportation-based protocol. We also obtain lower bounds on the minimum resources for the odd case. For all N4, we show that the SE/CC resources required to perform an arbitrary operation are strictly greater than those that any operation can establish/communicate.

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