dorsal/arxiv
View SchemaOn Quantum State Observability and Measurement
| Authors | Domenico D'Alessandro |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0307127 |
| URL | https://arxiv.org/abs/quant-ph/0307127 |
| DOI | 10.1088/0305-4470/36/37/310 |
Abstract
We consider the problem of determining the state of a quantum system given one or more readings of the expectation value of an observable. The system is assumed to be a finite dimensional quantum control system for which we can influence the dynamics by generating all the unitary evolutions in a Lie group. We investigate to what extent, by an appropriate sequence of evolutions and measurements, we can obtain information on the initial state of the system. We present a system theoretic viewpoint of this problem in that we study the {\it observability} of the system. In this context, we characterize the equivalence classes of indistinguishable states and propose algorithms for state identification.
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"abstract": "We consider the problem of determining the state of a quantum system given\none or more readings of the expectation value of an observable. The system is\nassumed to be a finite dimensional quantum control system for which we can\ninfluence the dynamics by generating all the unitary evolutions in a Lie group.\nWe investigate to what extent, by an appropriate sequence of evolutions and\nmeasurements, we can obtain information on the initial state of the system. We\npresent a system theoretic viewpoint of this problem in that we study the {\\it\nobservability} of the system. In this context, we characterize the equivalence\nclasses of indistinguishable states and propose algorithms for state\nidentification.",
"arxiv_id": "quant-ph/0307127",
"authors": [
"Domenico D\u0027Alessandro"
],
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"quant-ph"
],
"doi": "10.1088/0305-4470/36/37/310",
"title": "On Quantum State Observability and Measurement",
"url": "https://arxiv.org/abs/quant-ph/0307127"
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