Ladder proof of nonlocality without inequalities for maximally entangled states
نویسنده
چکیده
The ladder proof of nonlocality without inequalities for two spin-12 particles proposed by Hardy et al. [1, 2] works only for nonmaximally entangled states and goes through for 50% of pairs at the most. A similar ladder proof for two spin-1 particles in a maximally entangled state is presented. In its simplest form, the proof goes through for 17% of pairs. An extended version works for 100% of pairs. The proof can be extended to any maximally entangled state of two spin-s particles (with s ≥ 1). PACS numbers: 03.65.Bz ∗Electronic address: [email protected]
منابع مشابه
Ladder proof of nonlocality without inequalities and without probabilities
The ladder proof of nonlocality without inequalities for two spin-12 particles proposed by Hardy [1] and Hardy et al. [2] works only for nonmaximally entangled states and goes through for 50% of pairs at the most. A similar ladder proof for two spin-1 particles in a maximally entangled state is presented. In its simplest form, the proof goes through for 17% of pairs. An extended version works f...
متن کاملIi. Nonlocality without Inequalities for Hardy States
Hardy’s proof of “nonlocality without inequalities” [1] provides the simplest demonstration of Bell’s theorem [2] that there is no local realistic theory reproducing all predictions of quantum mechanics. Curiously, while the maximum violation of Bell inequalities occurs for maximally entangled states [3], Hardy’s proof does not go through for maximally entangled states. Recently, Wu, Xie, Huang...
متن کاملNonlocality for two particles without inequalities for almost all entangled states.
Bell's 1964 demonstration [1] that realistic interpretations of quantum theory must be nonlocal required the use of inequalities now universally known as Bell inequalities. Greenberger, Horne, and Zeilinger (GHZ) [2) caused much interest when they gave a proof of nonlocality but without using inequalities. Their proof, however, requires a minimum of three particles. A proof of nonlocality witho...
متن کاملPhysical Review Letters
Bell’s theorem [1] states that one cannot in general reproduce the results of quantum theory with a classical, deterministic local model. Hardy’s argument of “nonlocality without inequalities” [2] is considered “the best version of Bell’s theorem” [3]. Curiously enough, while in the original proof of Bell’s theorem using inequalities the maximum discrepancy with local models occurs for maximall...
متن کاملHardy is (almost) everywhere: Nonlocality without inequalities for almost all entangled multipartite states
We show that all n-qubit entangled states, with the exception of tensor products of single-qubit and bipartite maximally-entangled states, admit Hardy-type proofs of non-locality without inequalities or probabilities. More precisely, we show that for all such states, there are local, one-qubit observables such that the resulting probability tables are logically contextual in the sense of Abrams...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008