An Elementary Optical Gate for Expanding Symmetrically Shared Entanglement

  • Authors:

  • Toshiyuki Tashima;Şahin Kaya Özdemir;Takashi Yamamoto;Masato Koashi;Nobuyuki Imoto

  • Affiliations:

  • Division of Materials Physics, Department of Materials Engineering Science, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, Japan 560-8531 and CREST Photonic Quantum Inf ...;Division of Materials Physics, Department of Materials Engineering Science, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, Japan 560-8531 and CREST Photonic Quantum Inf ...;Division of Materials Physics, Department of Materials Engineering Science, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, Japan 560-8531 and CREST Photonic Quantum Inf ...;Division of Materials Physics, Department of Materials Engineering Science, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, Japan 560-8531 and CREST Photonic Quantum Inf ...;Division of Materials Physics, Department of Materials Engineering Science, Graduate School of Engineering Science, Osaka University, Toyonaka, Osaka, Japan 560-8531 and CREST Photonic Quantum Inf ...

  • Venue:
  • Theory of Quantum Computation, Communication, and Cryptography
  • Year:
  • 2008

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Abstract

We introduce an elementary optical gate based on post-selection strategy that enables not only to prepare polarization entangled W state, but also to grow this into a large-scale multi-photon W state. The gate is composed of a pair of 50:50 beamsplitters and a phase shifter, and it requires a two-photon ancillary state. When the input is a photon from an n -photon W state, the gate produces an (n + 2)-photon W state for post-selected events. Moreover, we show that this gate can be used to prepare and expand GHZ states by a simple modification of the ancillary state.