dorsal/arxiv
View SchemaGeneralized quantum measurements. Part II: Partially-destructive quantum measurements in finite-dimensional Hilbert spaces
| Authors | Boris A. Grishanin, Victor N. Zadkov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506046 |
| URL | https://arxiv.org/abs/quant-ph/0506046 |
Abstract
A concept of the generalized quantum measurement is introduced as the transformation, which establishes a correspondence between the initial states of the object system and final states of the object--measuring device (meter) system with the help of a classical informational index, unambiguously linked to the classically compatible set of states of the object--meter system. It is shown that the generalized measurement covers all the key known quantum measurement concepts--standard projective, entangling, fuzzy and the generalized measurement with the partial or complete destruction of the initial information contained in the object. A special class of partially-destructive measurements that map the continual set of the states in finite-dimensional quantum systems to that one of the infinite-dimensional quantum systems is considered. Their informational essence and some information characteristics are discussed in detail.
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"abstract": "A concept of the generalized quantum measurement is introduced as the\ntransformation, which establishes a correspondence between the initial states\nof the object system and final states of the object--measuring device (meter)\nsystem with the help of a classical informational index, unambiguously linked\nto the classically compatible set of states of the object--meter system. It is\nshown that the generalized measurement covers all the key known quantum\nmeasurement concepts--standard projective, entangling, fuzzy and the\ngeneralized measurement with the partial or complete destruction of the initial\ninformation contained in the object. A special class of partially-destructive\nmeasurements that map the continual set of the states in finite-dimensional\nquantum systems to that one of the infinite-dimensional quantum systems is\nconsidered. Their informational essence and some information characteristics\nare discussed in detail.",
"arxiv_id": "quant-ph/0506046",
"authors": [
"Boris A. Grishanin",
"Victor N. Zadkov"
],
"categories": [
"quant-ph"
],
"title": "Generalized quantum measurements. Part II: Partially-destructive quantum measurements in finite-dimensional Hilbert spaces",
"url": "https://arxiv.org/abs/quant-ph/0506046"
},
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