PPT-The EPR Paradox, Bell’s inequalities, and its significance

By Miles H Taylor The EPR Paradox In 1935 physicists Albert Einstein Boris Podolsky and Nathan Rosen created a thought experiment that was supposed to show a lack of completeness in quantum mechanics a relatively recent creation at the time The thought experiment later called the EPR paradox after the last names of the creators was based upon a paradox they saw in the quantum entanglement idea of quantum mechanics regarding the fact that one cannot know observables from different sets They began by imagining two physical systems that interact when created so that they will be defined by a single quantum state Blanton In other words one must begin by imagining two entangled particles Even when separated the two systems will still be described by the same wave function no matter the distance between them as they are still entangled If someone measures an observable such as the spin if the systems are photons of one system it will immediately determine the measurement of the corresponding observable in the second system Blanton This applies even at distances that special relativity should prohibit Imagine that the two systems are lightyears apart According to quantum mechanics measuring an observable in the first system forces the corresponding observable in the other system into a welldefined state immediately despite the fact that they are not close enough to have an effect on one another The information between the two has passed much too fast for the distance under the theory of relativity This left two options for Einstein . R. ingers in the CTE Classroom. Bing Boettner RN BSN. Health Services Instructor. Northwest Technical School. Maryville, MO. Building Bridges Conference. Jefferson City, MO. November 6-8, 2011. “Preparedness for successful Futures as an Actual Expectation for all students, not just a motto”. . Presented by: Sara Parker and Amanda Melini. Frederick: Writers Mind. What is a Paradox? . A Paradox is a statement that is inconsistent because it often contains two statements that are both true, which in general cannot both be true at the same time.. Jami . Durkee. Valerie . Toothman. Jason . Prindell. What is it?. Russell's paradox (also known as Russell's antinomy) was discovered by Bertrand . Russel. . in 1901. It showed that the naïve set theory created by Georg Cantor (which states any definable collection is a set) leads to a contradiction.. A situation or statement that seems to be impossible or contradictory but is nevertheless true, literally or figuratively.. 1. Paradox. Paradox - definition. A seemingly contradictory statement that may nonetheless be true: . Phylogenetics. Ziheng. Yang , Mol. Biol. . Evol. . 2007. Presented by Caroline . Uhler. and Anna-. Sapfo. . Malaspinas. Outline. What is the star-tree paradox?. Simulations. Explanation: the fair-coin paradox.. Mark Williamson. m. ark.williamson@wofson.ox.ac.uk. 10.06.10. The Quantum . T. heory of Information and Computation. http://www.comlab.ox.ac.uk/activities/quantum/course/. Aims of lecture. Local hidden variable theories can be experimentally falsified.. By: Miles H. Taylor. The EPR Paradox. In 1935, physicists Albert Einstein, Boris . Podolsky. , and Nathan Rosen created a thought experiment that was supposed to show a lack of completeness in quantum mechanics, a relatively recent creation at the time. The thought experiment, later called the EPR paradox after the last names of the creators, was based upon a paradox they saw in the quantum entanglement idea of quantum mechanics regarding the fact that one cannot know observables from different sets. They began by imagining two physical systems that interact when created, so that they will be defined by a single quantum state (Blanton). In other words, one must begin by imagining two entangled particles. Even when separated, the two systems will still be described by the same wave function, no matter the distance between them, as they are still entangled. If someone measures an observable, such as the spin if the systems are photons, of one system, it “will immediately determine the measurement of the corresponding observable in the second system” (Blanton). This applies even at distances that special relativity should prohibit. Imagine that the two systems are light-years apart. According to quantum mechanics, measuring an observable in the first system forces the corresponding observable in the other system into a well-defined state immediately, despite the fact that they are not close enough to have an effect on one another. The information between the two has passed much too fast for the distance under the theory of relativity. This left two options for Einstein, . Unit: Optimization. Systems of Inequalities. When solving a system of inequalities, you are looking for a SOLUTION SET that satisfies ALL linear inequalities involved.. Steps. Rearrange all rules into Function Form. A . paradox. is a statement that apparently contradicts itself and yet might be true (or wrong at same time). Some logical paradoxes are known to be . invalid. arguments but are still valuable in promoting . An . OXYMORON. . is a . combination of . contradictory. words. that are . stuck together. in a . way that actually . seems to . make sense.. open secret. act naturally. found missing. deafening silence. Solving Inequalities . Rules for . S. olving . Inequalities . The goal of an . inequality. . is to get the variable by itself . Use same rules as equations . 1 exception . If dividing or multiplying by a negative number you must switch the inequality . 5.3 Solving Multiple Step Inequalities Algebra 1 INEQUALITIES The relationship between two expressions that are NOT necessarily equal. Less Than Under Fewer Great er Than More Than 03.05.16. Toni . Heugel. , Max Kessler, Violation . of. Bell . inequality. . using. . photons. 1. Theoretical Introduction – Bell inequalities. General Experimental Setup. Detailed Setup and technical Difficulties. 1. Ph. /CS 219A. Quantum Computation. Lecture . 6. Bell Inequalities. Today we start a new topic. We will explore more deeply how quantum correlations are different from classical ones.. Two parties in different laboratories who share quantum entanglement, but are unable to communicate, can perform tasks which would be impossible without the shared entanglement. .