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10.1098/rsos.171599 http://scihub22266oqcxt.onion/10.1098/rsos.171599 C5830762!5830762 !29515873     free     free     free Deprecated: Implicit conversion from float 213.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 213.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Deprecated: Implicit conversion from float 213.6 to int loses precision in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 534 Warning: imagejpeg(C:\Inetpub\vhosts\kidney.de\httpdocs\phplern\29515873 .jpg): Failed to open stream: No such file or directory in C:\Inetpub\vhosts\kidney.de\httpdocs\pget.php on line 117       R+Soc+Open+Sci 2018 ; 5 (2 ): 171599 Nephropedia Template TP {{tp|p=29515873 |t=2018. Implementing Parrondo s paradox with two-coin quantum walks |pdf=|usr=}}{{29515873 }} gab.com Text Implementing Parrondo s paradox with two-coin quantum walks JO: R Soc Open Sci http://www.kidney.de/pget.php?&tw=1&pmid=29515873 #FOAvip Parrondo's paradox is ubiquitous in games, ratchets and random walks. The apparent paradox, devised by J. M. R. Parrondo, that two losing games A and B can produce a winning outcome has been adapted in many physical and biological systems to explain their working. However, proposals on demonstrating Parrondo's paradox using quantum walks failed for a large number of steps. In this work, we show that instead of a single coin if we consider a two-coin initial state which may or may not be entangled, we can observe a genuine Parrondo's paradox with quantum walks. Furthermore, we focus on reasons for this and pin down the asymmetry in initial two-coin state or asymmetry in shift operator, either of which is necessary for observing a genuine Parrondo's paradox. We extend our work to a three-coin initial state too with similar results. The implications of our work for observing quantum ratchet-like behaviour using quantum walks are also discussed. Twit Text FOAVip Implementing Parrondo s paradox with two-coin quantum walks ????R Soc Open Sci http://www.kidney.de/pget.php?&tw=1&pmid=29515873 #FOAvip Twit Text # Free Paper on # # # # # LINK http://www.kidney.de/pget.php?&tw=1&pmid=29515873 #FOAvip English Wikipedia <ref>{{Cite pmid|29515873 }}</ref> Implementing Parrondo s paradox with two-coin quantum walks #MMPMID29515873 Rajendran J ; Benjamin C R Soc Open Sci 2018[Feb]; 5 (2 ): 171599 PMID29515873 show ga Parrondo's paradox is ubiquitous in games, ratchets and random walks. The apparent paradox, devised by J. M. R. Parrondo, that two losing games A and B can produce a winning outcome has been adapted in many physical and biological systems to explain their working. However, proposals on demonstrating Parrondo's paradox using quantum walks failed for a large number of steps. In this work, we show that instead of a single coin if we consider a two-coin initial state which may or may not be entangled, we can observe a genuine Parrondo's paradox with quantum walks. Furthermore, we focus on reasons for this and pin down the asymmetry in initial two-coin state or asymmetry in shift operator, either of which is necessary for observing a genuine Parrondo's paradox. We extend our work to a three-coin initial state too with similar results. The implications of our work for observing quantum ratchet-like behaviour using quantum walks are also discussed. äImplementing Parrondo s paradox with two-coin quantum walks (epmc).pdf DeepDyve Pubget Overpricing