Continuous-Variable Quantum Computing in Optical Time-Frequency Modes using Quantum Memories
Peter C. Humphreys, W. Steven Kolthammer, Joshua Nunn, Marco Barbieri,, Animesh Datta, Ian A. Walmsley

TL;DR
This paper proposes a method for scalable continuous-variable quantum computing using quantum memories to generate and manipulate 2D cluster states in optical time-frequency modes, enabling compact and efficient quantum information processing.
Contribution
It introduces a novel scheme leveraging quantum memories for time-frequency encoded cluster states, enhancing scalability and compactness in photonic quantum computing.
Findings
Enables generation of 2D cluster states in a single spatial mode
Requires a number of memories linear in the number of frequencies
Shows quantum memories can be key components for scalable quantum architectures
Abstract
We develop a scheme for time-frequency encoded continuous-variable cluster-state quantum computing using quantum memories. In particular, we propose a method to produce, manipulate and measure 2D cluster states in a single spatial mode by exploiting the intrinsic time-frequency selectivity of Raman quantum memories. Time-frequency encoding enables the scheme to be extremely compact, requiring a number of memories that is a linear function of only the number of different frequencies in which the computational state is encoded, independent of its temporal duration. We therefore show that quantum memories can be a powerful component for scalable photonic quantum information processing architectures.
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