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We give a scheme for loss tolerantly building a linear optical quantum memorywhich itself is tolerant to qubit loss. We use the encoding recently introducedin [Phys. Rev. Lett. 97, 120501, (2006)] and give a method for efficientlyachieving this. The entire approach resides within the "One-way" model forquantum computing. Our results suggest that it is possible to build a losstolerant quantum memory, such that if the requirement is to keep the datastored over arbitrarily long times then this is possible with only polynomiallyincreasing resources and logarithmically increasing individual photon lifetimes.

Loss Tolerant Linear Optical Quantum Memory By Measurement Based Quantum Computing