### Abstract

We propose methods for the unambiguous discrimination of quantum states encoded in the spatial profile of light modes, in particular in the orbital angular momentum of light. Perfect discrimination between quantum states is possible only between orthogonal states of a known basis system. Generalised measurement strategies have been developed for the distinction between non-orthogonal states in a two-dimensional state space, e. g. the polarisation of light. Here we consider information encoded in superpositions of orbital angular momentum states of light, defined within an infinite-dimensional state space. Generalised measurements will be an important addition to quantum communication in high-dimensional spaces.

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

Article number | 196 |

Pages | - |

Number of pages | 4 |

Journal | European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics |

Volume | 66 |

Issue number | 7 |

DOIs | |

Publication status | Published - Jul 2012 |

### Fingerprint

### Keywords

- quantum states
- orbital angular momentum
- light
- polarisation

### Cite this

*European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics*,

*66*(7), -. [196]. https://doi.org/10.1140/epjd/e2012-30027-3

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*European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics*, vol. 66, no. 7, 196, pp. -. https://doi.org/10.1140/epjd/e2012-30027-3

**Unambiguous state discrimination in high dimensions.** / Franke-Arnold, S.; Jeffers, J.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Unambiguous state discrimination in high dimensions

AU - Franke-Arnold, S.

AU - Jeffers, J.

PY - 2012/7

Y1 - 2012/7

N2 - We propose methods for the unambiguous discrimination of quantum states encoded in the spatial profile of light modes, in particular in the orbital angular momentum of light. Perfect discrimination between quantum states is possible only between orthogonal states of a known basis system. Generalised measurement strategies have been developed for the distinction between non-orthogonal states in a two-dimensional state space, e. g. the polarisation of light. Here we consider information encoded in superpositions of orbital angular momentum states of light, defined within an infinite-dimensional state space. Generalised measurements will be an important addition to quantum communication in high-dimensional spaces.

AB - We propose methods for the unambiguous discrimination of quantum states encoded in the spatial profile of light modes, in particular in the orbital angular momentum of light. Perfect discrimination between quantum states is possible only between orthogonal states of a known basis system. Generalised measurement strategies have been developed for the distinction between non-orthogonal states in a two-dimensional state space, e. g. the polarisation of light. Here we consider information encoded in superpositions of orbital angular momentum states of light, defined within an infinite-dimensional state space. Generalised measurements will be an important addition to quantum communication in high-dimensional spaces.

KW - quantum states

KW - orbital angular momentum

KW - light

KW - polarisation

UR - http://www.scopus.com/inward/record.url?scp=84865574796&partnerID=8YFLogxK

U2 - 10.1140/epjd/e2012-30027-3

DO - 10.1140/epjd/e2012-30027-3

M3 - Article

VL - 66

SP - -

JO - European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics

T2 - European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics

JF - European Physical Journal D: Atomic, Molecular, Optical and Plasma Physics

SN - 1434-6060

IS - 7

M1 - 196

ER -