### Abstract

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

Pages | 052104 |

Journal | Physical Review A |

Volume | 77 |

Issue number | 5 |

DOIs | |

Publication status | Published - May 2008 |

### Fingerprint

### Keywords

- generalized quantum measurement
- positive operator valued measure
- probability operator measure
- quantum communication
- binary search tree

### Cite this

*Physical Review A*,

*77*(5), 052104. https://doi.org/10.1103/PhysRevA.77.052104

}

*Physical Review A*, vol. 77, no. 5, pp. 052104. https://doi.org/10.1103/PhysRevA.77.052104

**Binary search trees for generalized measurements.** / Andersson, E.; Oi, Daniel K.L.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Binary search trees for generalized measurements

AU - Andersson, E.

AU - Oi, Daniel K.L.

PY - 2008/5

Y1 - 2008/5

N2 - Generalized quantum measurements (positive operator valued measures or probability operator measures) are important for optimally extracting information for quantum communication and computation. The standard realization via the Neumark extension requires extensive resources in the form of operations in an extended Hilbert space. For an arbitrary measurement, we show how to construct a binary search tree with a depth logarithmic in the number of possible outcomes. This could be implemented experimentally by coupling the measured quantum system to a probe qubit which is measured, and then iterating.

AB - Generalized quantum measurements (positive operator valued measures or probability operator measures) are important for optimally extracting information for quantum communication and computation. The standard realization via the Neumark extension requires extensive resources in the form of operations in an extended Hilbert space. For an arbitrary measurement, we show how to construct a binary search tree with a depth logarithmic in the number of possible outcomes. This could be implemented experimentally by coupling the measured quantum system to a probe qubit which is measured, and then iterating.

KW - generalized quantum measurement

KW - positive operator valued measure

KW - probability operator measure

KW - quantum communication

KW - binary search tree

UR - http://dx.doi.org/10.1103/PhysRevA.77.052104

U2 - 10.1103/PhysRevA.77.052104

DO - 10.1103/PhysRevA.77.052104

M3 - Article

VL - 77

SP - 052104

JO - Physical Review A - Atomic, Molecular, and Optical Physics

T2 - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

IS - 5

ER -