1. "Effective Quantum Time Travel",  arXiv:0902.4898 [quant-ph]
   
   Abstrato:  The quantum teleportation protocol can be used to probabilistically simulate a quantum circuit with backward-in-time connections. This allows us to analyze some conceptual problems of time travel in the context of physically realizable situations, to realize encrypted measurements of future states for which the decryption key becomes available only after the state is created, and to probabilistically realize a multistage quantum state processing within the time needed to complete only one stage. The probabilistic nature of the process resolves any paradox.


2. "The Differential and Functional Equations for a Lie Group Homomorphism are Equivalent",  arXiv:0912.4476 [math]
   
   Abstrato:  I prove the ``folklore" result that the functional equation for a Lie group homomorphism can be solved by solving the corresponding differential equation.


3. "Qualia are Quantum Leaps",  arXiv:1104.2634 [physics.hist-ph]
   
   Abstrato:  I contemplate the idea that the subjective world and quantum state reductions are one and the same. If true, this resolves with one stroke both the quantum mechanical measurement problem and the hard problem of consciousness.


4. "Time Travel: Deutsch vs. Teleportation",  International Journal of Theoretical Physics, 50 3903  (2011). DOI:10.1007/s10773-011-0973-x Intercepta em grande parte com arXiv:0902.4898 [quant-ph].
   
   Abstract:  The quantum teleportation protocol can be used to probabilistically simulate a quantum circuit with backward-in-time connections. This allows us to analyze some conceptual problems of time travel in the context of physically realizable situations free of paradoxes. As an example one can perform encrypted measurements of future states for which the decryption key becomes available in the future. Likewise, the gauge-like freedom of locally changing the direction of time flow in quantum circuits can lead to conceptual and computational simplifications. I contrast this situation with Deutsch’s treatment of quantum mechanics in the presence of closed time-like curves pointing out some of its deficiencies and problems.


5. "How Free Will Could Will",  arXiv:1202.2007 [physics.hist-ph]
   
   Abstrato:  Many have proposed that free will would use quantum indeterminism. Strict adherence to the Born rule, which follows from the no-signal condition, seems to block this possibility. I propose here that if state collapse really does occur then there is a further form of indeterminism occurring in multipartite systems in that the basis upon which the collapse is to occur could be ambiguous. The choice of this basis is not covered by quantum mechanics nor subject to probability constraints and this provides a ground for a physical and eventually a mathematical model of free will.

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