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Quantum entanglement in photosynthetic light harvesting complexes Export

(23 May 2009)

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discuss applications of entanglement in various biological situations. ' also point out that the close resemblance of the coherent dynamics of LHCs to quantum walks suggests that these systems might be useful for the study of quantum-walk-enhanced computational algorithms' (for katie!) reference these papers: [47] A. M. Childs, R. Cleve, E. Deotto, E. Farhi, S. Gut- mann, D. A. Spielman. Exponential algorithmic speedup by quantum walk. In Proc. 35th ACM Symposium on Theory of Computing, page 59. ACM (2003). [48] N. Shenvi, J. Kempe, K. B. Whaley. Quantum random- walk search algorithm. Phys. Rev. A, 67, 052307 (2003). [49] A. M. Childs, J. Goldstone. Spatial search by quantum walk. Phys. Rev. A, 70, 022314 (2004). [50] A. Ambainis. Quantum walk algorithm for element dis- tinctness. SIAM J. Comp., 37, 210 (2007). [51] A. Ambainis. Quantum walks and their algorithmic ap- plications. Int. J. Quantum Inf., 1, 507 (2003).

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Light harvesting components of photosynthetic organisms are complex, coupled, many-body quantum systems, in which electronic coherence has recently been shown to survive for relatively long time scales despite the decohering effects of their environments. Within this context, we critically analyze entanglement in multi-chromophoric light harvesting complexes; we clarify the connection between coherence and entanglement in these systems, and establish methods for quantification of entanglement by presenting necessary and sufficient conditions for entanglement and by deriving a measure of global entanglement. These methods are then applied to the Fenna-Matthews-Olson (FMO) protein to extract the initial state and temperature dependencies of entanglement in this complex. We show that while FMO in natural conditions largely contains bipartite entanglement between dimerized chromophores, a small amount of long-range and multipartite entanglement exists even at physiological temperatures. This constitutes the first rigorous quantification of entanglement in a biological system. Finally, we discuss the practical utilization of entanglement in densely packed molecular aggregates such as light harvesting complexes.


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