Sebastian G. Hofer, Denis Vasilyev, Markus Aspelmeyer, Klemens Hammerer
We combine the concept of Bell measurements, in which two systems are projected into maximally entangled states, with the concept of continuous measurements, which concerns the evolution of a continuously monitored quantum system. For time continuous Bell measurements based on homodyne detection of light we derive the corresponding stochastic Schr\"odinger equations, as well as the unconditional feedback master equations. Our results cover in particular the two scenarios of time-continuous quantum teleportation and entanglement swapping. We apply our results to show that (i) two two-level systems can be deterministically entangled via homodyne detection of light, even including photon loss approaching the fundamental limit of 50%, and (ii) a quantum state of light can be continuously teleported to a mechanical oscillator. This time-continuous remote quantum state preparation works under the same conditions as are required for optomechanical ground state cooling.
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http://arxiv.org/abs/1303.4976
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