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“School of Nano-Sciences”

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Paper   IPM / Nano-Sciences / 14841
School of Nano Science
  Title:   Quantum gate description for induced coherence without induced emission and related phenomena
1 . Sahar Alipour
2 . Mario Krenn
3 . Anton Zeilinger
  Status:   Published
  Journal: Phys. Rev. A
  Vol.:  96
  Year:  2017
  Pages:   042317
  Publisher(s):   American Physical Society
  Supported by:  IPM
We introduce unitary quantum gates for photon pair creation in spontaneous parametric down-conversion nonlinear crystals (NLs) and for photon path alignment. These are the two key ingredients for the method of induced coherence without induced emission and many ensuing variations thereof. The difficulty in doing so stems from an apparent mixing of the mode picture (such as the polarization of photons) and the Fock picture (such as the existence of the photons). We illustrate utility of these gates by obtaining quantum circuits for the experimental setups of the frustrated generation of photon pairs, identification of a point-like object with undetected photons, and creation of a Bell state. We also introduce an effective nonunitary description for the action of NLs in experiments where all the NLs are pumped coherently. As an example, by using this simplifying picture, we show how NLs can be used to create superposition of given quantum states in a modular fashion.

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