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Photonics for Quantum (PfQ)

Continuous-variable quantum computing: scalable designs and fault tolerance

Nicolas C. Menicucci

Published Aug 27, 2021• 0 citations
Publisher

Abstract

One of the biggest challenges to a viable quantum computer with real-world impact is scaling it up to handle large computations. Continuous-variable (CV) cluster states, which are resource states for measurement-based quantum computation, can be made on a vast scale with minimal experimental resources. I will present recent experimental breakthroughs in producing large-scale CV cluster states, and I will illustrate how to use these states for fault-tolerant quantum computation.

DOI
10.1117/12.2611197

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One of the biggest challenges to a viable quantum computer with real-world impact is scaling it up to handle large computations. Continuous-variable (CV) cluster states, which are resource states for measurement-based quantum computation, can be made on a vast scale with minimal experimental resources. I will present recent experimental breakthroughs in producing large-scale CV cluster states, and I will illustrate how to use these states for fault-tolerant quantum computation.
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Achieving scalability is one of the most pressing tasks to realize practical quantum computer. In this regard, continuous-variable optical systems have shown many promising progresses such as generation of enormous cluster states, resources for measurement-based quantum computation, using minimal resources. In this talk, I will explain the concepts of continuous-variable quantum computation with the focuses on the quantum computation based on quantum teleportation. It turns out that the quantum teleportation protocol, a basic protocol that is equivalent to the identity operation, contains many essences of the quantum computation. I will discuss the recent experimental progresses with the main focuses on the time-domain multiplexing approach and how these progresses are paving the path toward large-scale fault-tolerant universal quantum computation.
Quantum Computing The development of a practical quantum computer requires universality, scalability, and fault tolerance. Although much progress is being made in circuit platforms in which arrays of qubits are addressed and manipulated individually, scale-up of such systems is experimentally challenging. Asavanant et al. and Larsen et al. explore an alternative route: measurement-based quantum computation, which is a platform based on the generation of large-scale cluster states. As these are optically prepared and easier to handle (one simply performs local measurements on each individual component of the cluster state), such a platform is readily scalable and fault tolerant. The topology of the cluster state ensures that the approach meets the requirements for quantum computation. Science , this issue p. [373][1], p. [369][2] [1]: /lookup/doi/10.1126/science.aay2645 [2]: /lookup/doi/10.1126/science.aay4354
Abstract This topical review introduces the theoretical and experimental advances in continuous-variable (CV)—i.e. qumode-based in lieu of qubit-based—large-scale, fault-tolerant quantum computing and quantum simulation. An introduction to the physics and mathematics of multipartite entangled CV cluster states is given, and their connection to experimental concepts is delineated. Paths toward fault tolerance are also presented. It is the hope of the author that this review attract more contributors to the field and promote its extension to the promising technology of integrated quantum photonics.
Measurement-based quantum computation with continuous variables, which realizes computation by performing measurement and feedforward of measurement results on a large scale Gaussian cluster state, provides a feasible way to implement quantum computation. Quantum error correction is an essential procedure to protect quantum information in quantum computation and quantum communication. In this review, we briefly introduce the progress of measurement-based quantum computation and quantum error correction with continuous variables based on Gaussian cluster states. We also discuss the challenges in the fault-tolerant measurement-based quantum computation with continuous variables.
Continuous-variable (CV) cluster states are a universal quantum computing platform that has experimentally outscaled qubit platforms by orders of magnitude.Room-temperature implementation of CV cluster states has been achieved with quantum optics by using multimode squeezed Gaussian states.It has also been proven that fault tolerance thresholds for CV quantum computing can be reached at realistic squeezing levels.In this paper, we show that standard approaches to design and characterize CV cluster states can miss entanglement present in the system.Such hidden entanglement may be used to increase the power of a quantum computer but it can also, if undetected, hinder the successful implementation of a quantum algorithm.By a detailed analysis of the structure of Gaussian states, we derive an algorithm that reveals hidden entanglement in an arbitrary Gaussian state and optimizes its use for one-way quantum computing.