Building Gaussian cluster states by linear optics

By Peter van Loock, Christian Weedbrook, Mile Gu. 2006

166 citations recorded by the source corpus.

The linear optical creation of Gaussian cluster states, a potential resource for universal quantum computation, is investigated. First, using Bloch-Messiah reduction, we show how to achieve canonical cluster-state generation, otherwise based on pairwise acting quantum nondemolition gates, by off-line squeezers and beam splitters. Moreover, we find that, in terms of squeezing resources, the canonical states are rather wasteful. Hence we propose a systematic way to create a whole family of cluster-type states, including potentially cheaper states. Any given cluster (or graph) state can be realized this way. As an example, we consider a protocol in which a single-mode quantum state propagates through a multiple-rail cluster. Such a redundant encoding may reduce errors due to finite squeezing.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/cb3c0691b2ac22e4c6431e2284dcdec5dcab163c

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In Atomic and Molecular Physics, and Optics

Citations in the corpus

Fault-tolerant measurement-based quantum computing with continuous-variable cluster states. (2013, background): “In fact, highly scalable experimental designs exist for creating very large CV cluster states [12–16], and an experimentally demonstrated 10,000-mode CV cluster state [9] now holds the world record for the largest entangled state ever created in which each constituent quantum system (in this case,…”
Modes and states in quantum optics (2019, methodology): “Multipartite entanglement and quantum networks can be created by this technique using a single squeezed state (Van Loock and Braunstein, 2000) or several (Armstrong et al., 2012; van Loock et al., 2007; Su et al., 2014).”
Graphical calculus for Gaussian pure states (2010, methodology): “The canonical case would then require that the squeezing parts of the C Z gates be absorbed into the ofﬂine momentum squeezers, corresponding to Bloch-Messiah reduction [14].”