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Photonics for Quantum (PfQ)

Scalable optical quantum computation based on continuous-variable quantum teleportation

Warit Asavanant

Published Jul 13, 2021• 0 citations
Publisher

Abstract

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.

DOI
10.1117/12.2603524

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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.
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Abstract Realizing a large-scale quantum computer requires hardware platforms that can simultaneously achieve universality, scalability, and fault tolerance. As a viable pathway to meeting these requirements, quantum computation (QC) based on continuous-variable optical systems has recently gained more attention due to its unique advantages and approaches. This review introduces several topics of recent experimental and theoretical progress in the optical continuous-variable QC that we believe are promising. In particular, we focus on scaling-up technologies enabled by time multiplexing, bandwidth broadening, and integrated optics, as well as hardware-efficient and robust bosonic quantum error-correction schemes.
Quantum computation presents incomparable advantages over classical computer in solving some complex problems. To realize large-scale quantum computation, it is required to establish a hardware platform that is universal, scalable and fault tolerant. Continuous-variable optical system, which has unique advantages, is a feasible way to realize large-scale quantum computation and has attracted much attention in recent years. Measurement-based continuous-variable quantum computation realizes the computation by performing the measurement and feedforward of measurement results in large-scale Gaussian cluster states, and it provides an efficient method to realize quantum computation. Quantum error correction is an important part in quantum computation and quantum communication to protect quantum information. This review briefly introduces the basic principles and research advances in one-way quantum computation based on cluster states, quantum computation based on optical Schrödinger cat states and quantum error correction with continuous variables, and discusses the problems and challenges that the continuous-variable quantum computation is facing.
Photonic quantum computing is one of the leading approaches to universal quantum computation. However, large-scale implementation of photonic quantum computing has been hindered by its intrinsic difficulties, such as probabilistic entangling gates for photonic qubits and lack of scalable ways to build photonic circuits. Here, we discuss how to overcome these limitations by taking advantage of two key ideas which have recently emerged. One is a hybrid qubit-continuous variable approach for realizing a deterministic universal gate set for photonic qubits. The other is the time-domain multiplexing technique to perform arbitrarily large-scale quantum computing without changing the configuration of photonic circuits. These ideas together will enable scalable implementation of universal photonic quantum computers in which hardware-efficient error correcting codes can be incorporated. Furthermore, all-optical implementation of such systems can increase the operational bandwidth beyond terahertz in principle, ultimately enabling large-scale fault-tolerant universal quantum computers with ultrahigh operation frequency.
Optical systems have been long considered to be appropriate for tasks in quantum communications but not quantum computation. This is because the optical systems are “flying qubits” that need actual physical circuits to implement quantum computation, limiting their scalability. In this chapter, we explain a methodology that does not only overcome this limitation but is also one of the currently most promising methods in terms of scalability: time-domain quantum computation. In this method, quantum states are encoded in a localized temporal wave packet. These wave packets can be multiplexed in time, allowing the generation of large-scale cluster states and multi-step quantum operations using only minimal physical resources. We explain basic ideas of quantum computation in the time domain and show several experimental examples.