Revisiting Hardy’s Paradox: Counterfactual Statements, Real Measurements, Entanglement and Weak Values

نویسندگان

  • Yakir Aharonov
  • Alonso Botero
  • Sandu Popescu
  • Benni Reznik
  • Jeff Tollaksen
چکیده

Yakir Aharonov, Alonso Botero, Sandu Popescu, Benni Reznik, Jeff Tollaksen (a) School of Physics and Astronomy, Tel Aviv University, Tel Aviv 69978, Israel. (b) Department of Physics, University of South Carolina, Columbia, SC 29208. (c) Department of Physics, Texas A & M University, College Station, TX 7784-4242, USA. (d) Centro Internacional de F́ısica, Ciudad Universitaria, Bogotá, Colombia. (e) H.H. Wills Physics Laboratory, University of Bristol, Tyndall Avenue, Bristol BS8 1TL, UK (f) BRIMS, Hewlett-Packard Laboratories, Stoke Gifford, Bristol BS12 6QZ, UK (g) Department of Physics, Boston University, Boston, MA 02215.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

What is a quantum - mechanical ” weak value ” the value of ?

A so called “weak value” of an observable in quantum mechanics (QM) may be obtained in a weak measurement + post-selection procedure on the QM system under study. Applied to number operators, it has been invoked in revisiting some QM paradoxes (e.g., the so called Three-Box paradox and Hardy’s paradox). This requires the weak value to be interpreted as a bona fide property of the system conside...

متن کامل

Consistent Quantum Counterfactuals

An analysis using classical stochastic processes is used to construct a consistent system of quantum counterfactual reasoning. When applied to a counterfactual version of Hardy’s paradox, it shows that the probabilistic character of quantum reasoning together with the “one framework” rule prevents a logical contradiction, and there is no evidence within this approach for any nonlocal influences...

متن کامل

Direct observation of Hardy's paradox by joint weak measurement with an entangled photon pair

We implemented a joint weak measurement of the trajectories of two photons in a photonic version of Hardy’s experiment. The joint weak measurement has been performed via an entangled meter state in polarization degrees of freedom of the two photons. Unlike Hardy’s original argument in which the contradiction is inferred by retrodiction, our experiment reveals its paradoxical nature as preposter...

متن کامل

ua nt - p h / 02 07 18 2 v 1 3 1 Ju l 2 00 2 Weak Values and Counterfactual Statements in Quantum Theory

A relation is obtained between weak values of quantum observ-ables and the consistency criterion for histories of quantum events. It is shown that " strange " weak values (such as values less than zero for projection operators) always correspond to inconsistent families of histories. It is argued that using the ABL rule to obtain probabilities for counterfactual measurements corresponding to th...

متن کامل

Three Quantum Particles Hardy Entanglement from the Topology of Cantorian-Fractal Spacetime and the Casimir Effect as Dark Energy – A Great Opportunity for Nanotechnology

The present work brings together three different fields which depend crucially upon nano hardware under the umbrella of E-infinity theoretical framework. We start by following E-infinity topological methodology by dividing Hardy’s entanglement into two parts, a global ‘counterfactual’ part given by Φ 3 where Φ = 2/(1+ √5) and a ‘local’ part Φ n where n is the number of quantum particles. For Ha...

متن کامل

ذخیره 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 2002