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Efficiencies of logical Bell measurements on Calderbank-Shor-Steane codes with static linear optics

2019

We show how the efficiency of a logical Bell measurement (BM) can be calculated for arbitrary Calderbank-Shor-Steane (CSS) codes with the experimentally important constraint of using only transversal static linear-optical BMs on the physical single-photon qubit level. For this purpose, we utilize the codes' description in terms of stabilizers in order to calculate general efficiencies for the loss-free case, but also for specific cases including photon loss. These efficiencies can be, for instance, used for obtaining transmission rates of all-optical quantum repeaters. In the loss-free case, we demonstrate that the important class of CSS codes with identical physical-qubit support for the t…

PhysicsDiscrete mathematicsPhotonGeneralizationOrder (ring theory)01 natural sciences010305 fluids & plasmasCSS codesymbols.namesakePauli exclusion principleTransversal (combinatorics)Qubit0103 physical sciencessymbols010306 general physicsQuantumPhysical Review A
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