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Boson Sampling as Canonical Transformation: A semiclassical approach in Fock space | | Thomas Engl
; Juan Diego Urbina
; Klaus Richter
; | | Date: |
26 Feb 2015 | | Abstract: | The Boson Sampler is a quantum device that, for large enough number of
photons, beats any classical computer in the calculation of scattering
probabilities between many-photon states. The complexity of this problem lies
in the implicit calculation of permanents (determinants without the alternating
minus signs) of large matrices, which is known to belong to the class of hard
problems in classical algorithmic theory. Here we show that a semiclassical
theory of Boson Sampling can be constructed such that its classical limit is a
canonical transformation, while quantum interference is encoded in the
semiclassical form of the associated unitary operator. Based on this idea, we
study the different coherent effects expected under different choices of the
scattering states and provide different representations of the scattering
probabilities. | | Source: | arXiv, 1502.7483 | | Services: | Forum | Review | PDF | Favorites | |
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