dorsal/arxiv
View SchemaOptimal estimates and joint measurement uncertainty relations
| Authors | Michael J. W. Hall |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0502035 |
| URL | https://arxiv.org/abs/quant-ph/0502035 |
Abstract
Often, one would like to determine some observable A, but can only measure some (hopefully related) observable M. This can arise, for example, in quantum eavesdropping, or when the research lab budget isn't large enough for that 100% efficient photodetector. It also arises whenever one tries to jointly determine two complementary observables via some measurement M. This raises three natural questions: (i) What is the best possible estimate of A from M ? ; (ii) How 'noisy' is such an estimate ? ; and (iii) Are there any universally valid uncertainty relations for joint estimates ? Quite general answers, and applications to heterodyne detection and EPR joint measurements, are briefly reviewed.
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"abstract": "Often, one would like to determine some observable A, but can only measure\nsome (hopefully related) observable M. This can arise, for example, in quantum\neavesdropping, or when the research lab budget isn\u0027t large enough for that 100%\nefficient photodetector. It also arises whenever one tries to jointly determine\ntwo complementary observables via some measurement M.\n This raises three natural questions: (i) What is the best possible estimate\nof A from M ? ; (ii) How \u0027noisy\u0027 is such an estimate ? ; and (iii) Are there\nany universally valid uncertainty relations for joint estimates ? Quite general\nanswers, and applications to heterodyne detection and EPR joint measurements,\nare briefly reviewed.",
"arxiv_id": "quant-ph/0502035",
"authors": [
"Michael J. W. Hall"
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"title": "Optimal estimates and joint measurement uncertainty relations",
"url": "https://arxiv.org/abs/quant-ph/0502035"
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