Grover Energy Transfer at Relativistic Speeds

Details Grover Energy Transfer at Relativistic Speeds Grover Energy Transfer at Relativistic Speeds

2009-10-06

arxiv.org/abs/0910.0964v1

J. Phys. A: Math. Theor. 43 455301 (2010)

Physics

Quantum Physics

Scientific paper

10.1088/1751-8113/43/45/455301

Grover's algorithm for quantum search can also be applied to classical energy transfer. The procedure takes a system in which the total energy is equally distributed among $N$ subsystems and transfers most of the it to one marked subsystem. We show that in a relativistic setting the efficiency of this procedure can be improved. We will consider the transfer of relativistic kinetic energy in a series of elastic collisions. In this case, the number of steps of the energy transfer procedure approaches 1 as the initial velocities of the objects become closer to the speed of light. This is a consequence of introducing non-linearities in the procedure. However, the maximum attainable transfer will depend on the particular combination of speed and number of objects. In the procedure, we will use $N$ elements, like in the classical case, instead of the $log_2(N)$ states of the quantum algorithm.

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