Process POVM

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14330%2F09%3A00029698" target="_blank" >RIV/00216224:14330/09:00029698 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Process POVM

Popis výsledku v původním jazyce

We shall introduce the mathematical framework for the description of measurements of quantum processes. Using this framework the process estimation problems can be treated in the similar way as the state estimation problems, only replacing the concept ofpositive operator valued measure (POVM) by the concept of process POVM (PPOVM). In particular, we will show that any measurement of qudit channels can be described by a collection of effects (positive operators) defined on two-qudit system. However, theeffects forming a PPOVM are not normalized in the usual sense. We will briefly demonstrate the usage of this formalism on three particular examples: 1) equivalence of perfect channel discrimination with specific unambiguous state discrimination 2) unambiguous comparison of unitary channels 3) MaxEnt for process estimation from incomplete data In conclusion, we shall discuss the limitations of the PPOVM framework.

Název v anglickém jazyce

Process POVM

Popis výsledku anglicky

We shall introduce the mathematical framework for the description of measurements of quantum processes. Using this framework the process estimation problems can be treated in the similar way as the state estimation problems, only replacing the concept ofpositive operator valued measure (POVM) by the concept of process POVM (PPOVM). In particular, we will show that any measurement of qudit channels can be described by a collection of effects (positive operators) defined on two-qudit system. However, theeffects forming a PPOVM are not normalized in the usual sense. We will briefly demonstrate the usage of this formalism on three particular examples: 1) equivalence of perfect channel discrimination with specific unambiguous state discrimination 2) unambiguous comparison of unitary channels 3) MaxEnt for process estimation from incomplete data In conclusion, we shall discuss the limitations of the PPOVM framework.

Druh

O - Ostatní výsledky

CEP obor

IN - Informatika

OECD FORD obor

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Projekt

<a href="/cs/project/GA201%2F07%2F0603" target="_blank" >GA201/07/0603: Výpočty, komunikace a bezpečnost kvantových distribuovaných systémů</a><br>

Návaznosti

Z - Vyzkumny zamer (s odkazem do CEZ)

Rok uplatnění

2009

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů