dorsal/arxiv
View SchemaProgrammable quantum channels and measurements
| Authors | Giacomo Mauro D'Ariano, Paolo Perinotti |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510033 |
| URL | https://arxiv.org/abs/quant-ph/0510033 |
Abstract
We review some partial results for two strictly related problems. The first problem consists in finding the optimal joint unitary transformation on system and ancilla which is the most efficient in programming any desired channel on the system by changing the state of the ancilla. In this respect we present a solution for dimension two for both system and ancilla. The second problem consists in finding the optimal universal programmable detector, namely a device that can be tuned to perform any desired measurement on a given quantum system, by changing the state of an ancilla. With a finite dimension for the ancilla only approximate universal programmability is possible, with minimal dimension increasing function versus the precision of the approximation. We show that one can achieve a dimension growing polynomially versus the precision, and even linearly in specific cases.
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"abstract": "We review some partial results for two strictly related problems. The first\nproblem consists in finding the optimal joint unitary transformation on system\nand ancilla which is the most efficient in programming any desired channel on\nthe system by changing the state of the ancilla. In this respect we present a\nsolution for dimension two for both system and ancilla. The second problem\nconsists in finding the optimal universal programmable detector, namely a\ndevice that can be tuned to perform any desired measurement on a given quantum\nsystem, by changing the state of an ancilla. With a finite dimension for the\nancilla only approximate universal programmability is possible, with minimal\ndimension increasing function versus the precision of the approximation. We\nshow that one can achieve a dimension growing polynomially versus the\nprecision, and even linearly in specific cases.",
"arxiv_id": "quant-ph/0510033",
"authors": [
"Giacomo Mauro D\u0027Ariano",
"Paolo Perinotti"
],
"categories": [
"quant-ph"
],
"title": "Programmable quantum channels and measurements",
"url": "https://arxiv.org/abs/quant-ph/0510033"
},
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