Topological Contextuality and Anyonic Statistics of Photonic-Encoded Parafermions

Liu, Zhenghao; Sun, Kai; Pachos, Jiannis K.; Yang, Ming; Meng, Yu; Liao, Yu-Wei; Li, Qiang; Wang, Junfeng; Luo, Ze-Yu; He, Yifei; Huang, Dong-Yu; Ding, Guang-Rui; Xu, Jin‐Shi; Han, Yong‐Jian; Li, Chuan‐Feng; Guo, Guang‐Can

doi:10.1103/prxquantum.2.030323

Cited by 10 publications

(8 citation statements)

References 42 publications

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“…On the other hand, photonic simulations of the dynamics of fermionic ( 49 – 51 ) and non-Abelian anyonic systems ( 52 ) may provide additional insights for the exotic physics therein. From the observation that η in Eq.…”

Section: Resultsmentioning

confidence: 99%

“…Therefore, our work also constitutes an eligible quantum simulation of different kinds of identical particles and may shed further light on the characterization of this kind of compound systems, including anyons. Notably, the investigation of anyonic braiding may facilitate fault-tolerant quantum computation and information processing protocols ( 52 , 63 ). To this end, our setup provides a pathway to address this problem naturally and intuitively.…”

Section: Discussionmentioning

confidence: 99%

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Activation of indistinguishability-based quantum coherence for enhanced metrological applications with particle statistics imprint

Sun

Liu

Wang

et al. 2022

Proc. Natl. Acad. Sci. U.S.A.

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Significance Quantum coherence has a fundamentally different origin for nonidentical and identical particles since for the latter a unique contribution exists due to indistinguishability. Here we experimentally show how to exploit, in a controllable fashion, the contribution to quantum coherence stemming from spatial indistinguishability. Our experiment also directly proves, on the same footing, the different role of particle statistics (bosons or fermions) in supplying coherence-enabled advantage for quantum metrology. Ultimately, our results provide insights toward viable quantum-enhanced technologies based on tunable indistinguishability of identical building blocks.

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Section: Resultsmentioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Activation of indistinguishability-based quantum coherence for enhanced metrological applications with particle statistics imprint

Sun

Liu

Wang

et al. 2022

Proc. Natl. Acad. Sci. U.S.A.

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“…Taking an alternative approach, Liu et al [108] studied the non-abelian statistics of anyons and its application…”

Section: A Towards Universal Quantum Computationmentioning

confidence: 99%

“…To elucidate the roles of contextuality in topological quantum computation, Reference [108] directly tested the dynamics of magic contextuality under braiding evolution and local noise. By tuning the interacting Hamiltonian of the parafermionic chain, the parafermionedge zero modes can be driven through the chain to induce the braiding evolution and topologically-protected gate operations.…”

Section: Braidingmentioning

confidence: 99%

Twenty years of quantum contextuality at USTC

Liu,

Li,

Liu

et al. 2022

Preprint

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Quantum contextuality is one of the most perplexing and peculiar features of quantum mechanics. Concisely, it refers to the observation that the result of a single measurement in quantum mechanics depends on the set of joint measurements actually performed. The study of contextuality has a long history at University of Science and Technology of China (USTC). Here we review the theoretical and experimental advances in this direction achieved at USTC over the last 20 years. We start by introducing the renowned simplest proof of state-independent contextuality. We then present several experimental tests of quantum versus noncontextual theories with photons. Finally, we discuss the investigation on the role of contextuality in general quantum information science and its application in quantum computation. CONTENTS I. Introduction 1 II. Theory: the Kochen-Specker theorem and its proofs 2 A. Towards the ultimate simplicity 3 B. The graph-theoretical approach to contextuality 5 III. Experiment: photonic tests of contextuality 6 A. Violation of noncontextuality inequality 8 B. Contextuality as prepare-and-measure experiments 8 C. The power of multiple degrees of freedom 10 D. Loophole-free tests of contextuality 13

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“…Braiding of the Majorana fermions is yet another motivation as it provides the exchange statistics of the topological excitations and is a necessary step for topological quantum computation. While there has been progress in manipulation of toy Majorana modes in photonics [36][37][38] and superconducting architectures [39][40][41][42], they were limited to a few qubit systems, not a real topological phase. Thus, direct probing of the topological modes and their manipulation remained an open problem.…”

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confidence: 99%

Observing and braiding topological Majorana modes on programmable quantum simulators

Movassagh

Shtanko

Harle

2022

Preprint

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Electrons are indivisible elementary particles, yet paradoxically a collection of them can act as a fraction of a single electron, exhibiting exotic and useful properties. One such collective excitation, known as a topological Majorana mode, is naturally stable against perturbations, such as unwanted local noise, and can thereby robustly store quantum information. As such, Majorana modes serve as the basic primitive of topological quantum computing, providing resilience to errors. However, their demonstration on quantum hardware has remained elusive. Here, we show the first provable detection and braiding of topological Majorana modes using a superconducting quantum processor as a quantum simulator. By simulating fermions on a one-dimensional lattice subject to a periodic drive, we confirm the existence of Majorana modes localized at the edges, and distinguish them from other trivial modes. To simulate a basic logical operation of topological quantum computing known as braiding, we propose a non-adiabatic technique, whose implementation reveals correct braiding statistics in our experiments. This work could further serve as a superconducting circuit verification protocol for future topological quantum computation, and shows that long-sought quantum phenomena can be recreated by anyone in cloud-run quantum simulations, whereby accelerating fundamental new discoveries in quantum-related science and technology.

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Topological Contextuality and Anyonic Statistics of Photonic-Encoded Parafermions

Cited by 10 publications

References 42 publications

Activation of indistinguishability-based quantum coherence for enhanced metrological applications with particle statistics imprint

Activation of indistinguishability-based quantum coherence for enhanced metrological applications with particle statistics imprint

Twenty years of quantum contextuality at USTC

Observing and braiding topological Majorana modes on programmable quantum simulators

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