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Journal Article

Effective size of certain macroscopic quantum superpositions

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http://pubman.mpdl.mpg.de/cone/persons/resource/persons60441

Cirac,  J. Ignacio
Theory, Max Planck Institute of Quantum Optics, Max Planck Society;

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Citation

Dür, W., Simon, C., & Cirac, J. I. (2002). Effective size of certain macroscopic quantum superpositions. Physical Review Letters, 89(21): 210402. 210402. Retrieved from http://link.aps.org/abstract/PRL/v89/e210402.


Cite as: http://hdl.handle.net/11858/00-001M-0000-000F-C1A7-C
Abstract
Several experiments and experimental proposals for the production of macroscopic superpositions naturally lead to states of the general form /phi(1)](xN) + /phi(2)](xN), where the number of subsystems N is very large, but the states of the individual subsystems have large overlap, \[phi(1)\phi(2)]\(2) = 1 - ε2. We propose two different methods for assigning an effective particle number to such states, using ideal Greenberger-Horne-Zeilinger states of the form \0](xn) + \1](xn) as a standard of comparison. The two methods are based on decoherence and on a distillation protocol, respectively. Both lead to an effective size n of the order of N ε2.