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Article #2795Re: Entangled Boxes
From: Mike Williams
Date: Fri, 23 Mar 2007 17:03
Date: Fri, 23 Mar 2007 17:03
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3142 bytes
Wasn't it Eraser who wrote: >Something like this was used to explain quantum entanglement >in a book by Julian Brown called, Quest for the Quantum Computer: > >A single black box has: > an on-off switch, > a dial with six positions, > one red and one green light, > a counter which counts how many times the box was turned on. >To operate the box, randomly select any dial position >and then switch the box "on". Note which light turns on, >red or green. Then switch the box "off". The color of >the light that gets turned on is guarranteed to always be >completely random. There is a 50:50 chance for either >the red or green light coming on, regardless of >whether the dial's position was changed or not. > >Now whenever two such black boxes have been switched "on" >the same number of times, they will have the same counter number. >Then, they will both show the same color light if their dial >positions are the same. But whenever the dial on one of the >two boxes is in a position opposite to the position of the >dial of the other box, the color of the two box's lights >will be different (one will be red and the other will be green). >And whenever the dial on one of the two boxes is in >a position adjacent to the dial position of the other box, >the color of the two box's lights will be the same on average >3/4ths of the time. > >Two such black boxes can be said to be 'entangled'. > >Can they be physically manufactured without the >ability to send information between them? It's easy to design such a system where adjacent positions give the same colour light 2/3 of the time rather than 3/4. To achieve 3/4, I reckon that you have to have a dial with 8 positions. -- Mike Williams Gentleman of Leisure
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X-Google-Thread: 10b299,3301d62af6050290 X-Google-Thread: 109428,3301d62af6050290 X-Google-Attributes: gid10b299,gid109428,public X-Google-Language: ENGLISH,ASCII-7-bit Path: arc1-ca.pugleaf.net!g2news1.google.com!news4.google.com!newshub.stanford.edu!news.aset.psu.edu!support1.mathforum.org!econym.demon.co.uk!nospam From: Mike Williams <nospam@econym.demon.co.uk> Newsgroups: rec.puzzles,geometry.puzzles Subject: Re: Entangled Boxes Date: Fri, 23 Mar 2007 17:03:17 +0000 (UTC) Organization: The Math Forum Lines: 42 Sender: approve@support1.mathforum.org Approved: approve Message-ID: <CXWT6cAhEABGFwrz@econym.demon.co.uk> References: <1307n3lknkrne1b@corp.supernews.com> NNTP-Posting-Host: support1-1.mathforum.org Mime-Version: 1.0 X-Trace: support1.mathforum.org 1174669397 5642 144.118.94.11 (23 Mar 2007 17:03:17 GMT) X-Complaints-To: news@support1.mathforum.org NNTP-Posting-Date: Fri, 23 Mar 2007 17:03:17 +0000 (UTC) To: geometry-puzzles@moderators.isc.org Return-Path: nospam@econym.demon.co.uk Delivery-Date: Fri Mar 23 12:34:53 2007 Return-Path: <nospam@econym.demon.co.uk> by support1.mathforum.org (8.11.6/8.11.6/The Math Forum, $Revision: 1.9 primary) with ESMTP id l2NGYqo29240 for <approve@mathforum.org>; Fri, 23 Mar 2007 12:34:52 -0400 X-Newsreader: Turnpike Integrated Version 4.02 S <y6w6i7iXF7su4e1qhLHXuschMm>