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arXiv · 0910.0660

Universal linear Bogoliubov transformations through one-way quantum computation

Ryuji Ukai·Jun-ichi Yoshikawa·Noriaki Iwata·Peter van Loock·Akira Furusawa
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Abstract

We show explicitly how to realize an arbitrary linear unitary Bogoliubov transformation (LUBO) on a multi-mode quantum state through homodyne-based one-way quantum computation. Any LUBO can be approximated by means of a fixed, finite-sized, sufficiently squeezed Gaussian cluster state that allows for the implementation of beam splitters (in form of three-mode connection gates) and general one-mode LUBOs. In particular, we demonstrate that a linear four-mode cluster state is a sufficient resource for an arbitrary one-mode LUBO. Arbitrary input quantum states including non-Gaussian states could be efficiently attached to the cluster through quantum teleportation.

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Ryuji Ukai, Jun-ichi Yoshikawa, Noriaki Iwata, Peter van Loock, Akira Furusawa. 2009-10-05. Universal linear Bogoliubov transformations through one-way quantum computation. https://doi.org/10.1103/physreva.81.032315

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