Ultra-Large-Scale Continuous-Variable Cluster States Multiplexed in the Time Domain
Shota Yokoyama, Ryuji Ukai, Seiji C. Armstrong, Chanond, Sornphiphatphong, Toshiyuki Kaji, Shigenari Suzuki, Jun-ichi Yoshikawa,, Hidehiro Yonezawa, Nicolas C. Menicucci, Akira Furusawa

TL;DR
This paper demonstrates the creation of an ultra-large continuous-variable cluster state with over 10,000 entangled modes by multiplexing in the time domain, enabling scalable measurement-based quantum computation.
Contribution
It introduces a method to generate and characterize the largest entangled state to date, significantly advancing quantum resource scalability.
Findings
Generated over 10,000 entangled modes in a single cluster state
Achieved a three-order magnitude increase in entangled state size
Presented an efficient scheme for measurement-based quantum computation
Abstract
Quantum computers promise ultrafast performance of certain tasks. Experimentally appealing, measurement-based quantum computation (MBQC) requires an entangled resource called a cluster state, with long computations requiring large cluster states. Previously, the largest cluster state consisted of 8 photonic qubits or light modes, while the largest multipartite entangled state of any sort involved 14 trapped ions. These implementations involve quantum entities separated in space, and in general, each experimental apparatus is used only once. Here, we circumvent this inherent inefficiency by multiplexing light modes in the time domain. We deterministically generate and fully characterise a continuous-variable cluster state containing more than 10,000 entangled modes. This is, by 3 orders of magnitude, the largest entangled state ever created to date. The entangled modes are individually…
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