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<blockquote data-quote="Chathurangaabey" data-source="post: 16828866" data-attributes="member: 7201"><p><span style="color: Blue"><strong>I just read this paper.</strong></span></p><p></p><p><a href="http://www.nature.com/ncomms/2014/140619/ncomms5145/full/ncomms5145.html" target="_blank">http://www.nature.com/ncomms/2014/140619/ncomms5145/full/ncomms5145.html</a>.</p><p></p><p>ABSTRACT:</p><p>Experimental simulation of closed timelike curves</p><p>Martin Ringbauer1,2, Matthew A. Broome1,2, Casey R. Myers1, Andrew G. White1,2 & Timothy C. Ralph2</p><p>Closed timelike curves are among the most controversial features of modern physics. As</p><p>legitimate solutions to Einstein’s field equations, they allow for time travel, which instinctively</p><p>seems paradoxical. However, in the quantum regime these paradoxes can be resolved, leaving</p><p>closed timelike curves consistent with relativity. The study of these systems therefore</p><p>provides valuable insight into nonlinearities and the emergence of causal structures in</p><p>quantum mechanics—essential for any formulation of a quantum theory of gravity. Here we</p><p>experimentally simulate the nonlinear behaviour of a qubit interacting unitarily with an older</p><p>version of itself, addressing some of the fascinating effects that arise in systems traversing a</p><p>closed timelike curve. These include perfect discrimination of non-orthogonal states and,</p><p>most intriguingly, the ability to distinguish nominally equivalent ways of preparing pure</p><p>quantum states. Finally, we examine the dependence of these effects on the initial qubit state,</p><p>the form of the unitary interaction and the influence of decoherence.</p><p></p><p>DISCUSSION:</p><p>Quantum simulation is a versatile and powerful tool for</p><p>investigating quantum systems that are hard or even impossible</p><p>to access in practice20. Although no CTCs have been discovered</p><p>to date, quantum simulation nonetheless enables us to study</p><p>their unique properties and behaviour. Here we simulated the</p><p>immediate adaption of rCTC to changes in the CTC’s</p><p>environment and in particular the effect of different forms of</p><p>decoherence. We also show that the nonlinearity inherent in the</p><p>system is in fact not uniform (as shown in Fig. 3), suggesting that</p><p>nonlinear effects only become apparent in certain scenarios and</p><p>for a specific set of measurements.</p><p>Moreover, we find intriguing differences with respect to</p><p>nominally equivalent ways of pure state preparation. Although</p><p>acknowledged in ref. 29, this feature has not been further</p><p>investigated in the present literature. Importantly, this effect</p><p>arises due to consistency with relativity, in contrast to the similar</p><p>effect for mixed quantum states discussed earlier, which is a direct</p><p>result of the nonlinearity of the system7.</p><p>Our study of the Deutsch model provides insights into the role</p><p>of causal structures and nonlinearities in quantum mechanics,</p><p>which is essential for an eventual reconciliation with general</p><p>relativity.</p><p></p><p>____________________________________________________________________</p><p></p><p><span style="color: Blue"><strong>this is just a quantum simulation of a single qbit. So macroscopic bodies can't behave like that. එකියන්නේ ඕකෙන් අපිට කාලය හරහා යන්න පුළුවන්කමක් ලැබෙයි කියලා කියන්න බෑ...</strong></span></p></blockquote><p></p>
[QUOTE="Chathurangaabey, post: 16828866, member: 7201"] [COLOR="Blue"][B]I just read this paper.[/B][/COLOR] [url]http://www.nature.com/ncomms/2014/140619/ncomms5145/full/ncomms5145.html[/url]. ABSTRACT: Experimental simulation of closed timelike curves Martin Ringbauer1,2, Matthew A. Broome1,2, Casey R. Myers1, Andrew G. White1,2 & Timothy C. Ralph2 Closed timelike curves are among the most controversial features of modern physics. As legitimate solutions to Einstein’s field equations, they allow for time travel, which instinctively seems paradoxical. However, in the quantum regime these paradoxes can be resolved, leaving closed timelike curves consistent with relativity. The study of these systems therefore provides valuable insight into nonlinearities and the emergence of causal structures in quantum mechanics—essential for any formulation of a quantum theory of gravity. Here we experimentally simulate the nonlinear behaviour of a qubit interacting unitarily with an older version of itself, addressing some of the fascinating effects that arise in systems traversing a closed timelike curve. These include perfect discrimination of non-orthogonal states and, most intriguingly, the ability to distinguish nominally equivalent ways of preparing pure quantum states. Finally, we examine the dependence of these effects on the initial qubit state, the form of the unitary interaction and the influence of decoherence. DISCUSSION: Quantum simulation is a versatile and powerful tool for investigating quantum systems that are hard or even impossible to access in practice20. Although no CTCs have been discovered to date, quantum simulation nonetheless enables us to study their unique properties and behaviour. Here we simulated the immediate adaption of rCTC to changes in the CTC’s environment and in particular the effect of different forms of decoherence. We also show that the nonlinearity inherent in the system is in fact not uniform (as shown in Fig. 3), suggesting that nonlinear effects only become apparent in certain scenarios and for a specific set of measurements. Moreover, we find intriguing differences with respect to nominally equivalent ways of pure state preparation. Although acknowledged in ref. 29, this feature has not been further investigated in the present literature. Importantly, this effect arises due to consistency with relativity, in contrast to the similar effect for mixed quantum states discussed earlier, which is a direct result of the nonlinearity of the system7. Our study of the Deutsch model provides insights into the role of causal structures and nonlinearities in quantum mechanics, which is essential for an eventual reconciliation with general relativity. ____________________________________________________________________ [COLOR="Blue"][B]this is just a quantum simulation of a single qbit. So macroscopic bodies can't behave like that. එකියන්නේ ඕකෙන් අපිට කාලය හරහා යන්න පුළුවන්කමක් ලැබෙයි කියලා කියන්න බෑ...[/B][/COLOR] [/QUOTE]
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