### Abstract

Language | English |
---|---|

Article number | 032314 |

Number of pages | 17 |

Journal | Physics Letters A |

Volume | 63 |

Issue number | 3 |

DOIs | |

Publication status | Published - 15 Feb 2001 |

### Fingerprint

### Keywords

- entanglement
- quantum physics
- multiparticle quantum operations
- teleportation

### Cite this

*Physics Letters A*,

*63*(3), [032314]. https://doi.org/10.1103/PhysRevA.63.032314

}

*Physics Letters A*, vol. 63, no. 3, 032314. https://doi.org/10.1103/PhysRevA.63.032314

**Entanglement, information and multiparticle quantum operations.** / Chefles, Anthony; Gilson, Claire R.; Barnett, Stephen M.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Entanglement, information and multiparticle quantum operations

AU - Chefles, Anthony

AU - Gilson, Claire R.

AU - Barnett, Stephen M.

PY - 2001/2/15

Y1 - 2001/2/15

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.

AB - 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.

KW - entanglement

KW - quantum physics

KW - multiparticle quantum operations

KW - teleportation

UR - http://arxiv.org/PS_cache/quant-ph/pdf/0006/0006106v2.pdf

UR - http://dx.doi.org/10.1016/S0375-9601(00)00461-8

U2 - 10.1103/PhysRevA.63.032314

DO - 10.1103/PhysRevA.63.032314

M3 - Article

VL - 63

JO - Physics Letters A

T2 - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

IS - 3

M1 - 032314

ER -