Optimal estimates and joint measurement uncertainty relations

Details Optimal estimates and joint measurement uncertainty relations Optimal estimates and joint measurement uncertainty relations

2005-02-05

arxiv.org/abs/quant-ph/0502035v1

Physics

Quantum Physics

Presented at 2005 AIP Congress (Canberra, Australia, Jan 31-Feb 4 2005); provides a large font overview of some recent results

Scientific paper

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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