Anonymous broadcasting of classical information with a continuous-variable topological quantum code

Menicucci, Nicolas C.; Baragiola, Ben Q.; Demarie, Tommaso F.; Brennen, Gavin K.

doi:10.1103/physreva.97.032345

Cited by 21 publications

(12 citation statements)

References 69 publications

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“…Our architecture has the added benefit that it can be reprogrammed to generate cluster states of dimension less than three. This makes it compatible with previously studied protocols for lower dimensional cluster states [92,96,97].…”

Section: Discussionsupporting

confidence: 56%

Quantum-Computing Architecture based on Large-Scale Multi-Dimensional Continuous-Variable Cluster States in a Scalable Photonic Platform

Wu,

Alexander,

Liu

et al. 2019

Preprint

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Quantum computing is a disruptive paradigm widely believed to be capable of solving classically intractable problems. However, the route toward full-scale quantum computers is obstructed by immense challenges associated with the scalability of the platform, the connectivity of qubits, and the required fidelity of various components. One-way quantum computing is an appealing approach that shifts the burden from high-fidelity quantum gates and quantum memories to the generation of high-quality entangled resource states and high fidelity measurements. Cluster states are an important ingredient for one-way quantum computing, and a compact, portable, and mass producible platform for large-scale cluster states will be essential for the widespread deployment of one-way quantum computing. Here, we bridge two distinct fields-Kerr microcombs and continuous-variable (CV) quantum information-to formulate a one-way quantum computing architecture based on programmable large-scale CV cluster states. The architecture can accommodate hundreds of simultaneously addressable entangled optical modes multiplexed in the frequency domain and an unlimited number of sequentially addressable entangled optical modes in time domain. One-dimensional, two-dimensional, and three-dimensional CV cluster states can be deterministically produced. We note cluster states of at least three dimensions are required for fault-tolerant one-way quantum computing with known error-correction strategies. This architecture can be readily implemented with silicon photonics, opening a promising avenue for quantum computing at a large scale.

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Section: Discussionsupporting

confidence: 56%

Quantum-Computing Architecture based on Large-Scale Multi-Dimensional Continuous-Variable Cluster States in a Scalable Photonic Platform

Wu,

Alexander,

Liu

et al. 2019

Preprint

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“…Note that the implementation of Protocol 5 is dependent on the private lists maintained by the agents, the W states generated by the trusted source, the classical broadcast channel, and the quantum channel. Additionally, it is worth mentioning that all the proposed subprotocols are completely traceless, which is an intuitive and key feature of quantum protocols [24,29]. Particularly, the communicating pairs are untraceable in Protocol 5.…”

Section: Protocol 5: Anonymous Communication Protocolmentioning

confidence: 99%

Anonymous communication protocol over quantum networks

Gong¹,

Cui

2021

Preprint

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We propose a W state-based protocol for anonymously transmitting quantum messages in a quantum network. Different from the existing protocols [A. Unnikrishnan, et al., Phys. Rev. Lett. 122, 240501 (2019)], the proposed protocol can be effectively implemented in the network only equipped with quantum channels and regular broadcast channels. Throughout the design procedure, we develop three sub-protocols using the W state, including the quantum collision detection protocol and the quantum notification protocol. Moreover, together with the conventional anonymous entanglement protocol, the whole anonymous communication protocol has been constructed. Finally, we examine the correctness and security of the proposed quantum anonymous communication protocol.

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“…Some CV QEC schemes against displacement errors have been experimentally demonstrated, for example, the nine-wave-packet code [4], the five-wave-packet code [5] and the correcting code with the correlated noisy channels [6]. In addition, some basic concepts related to CV topological QC have been proposed in recent years, such as the CV anyon statistics [45], the graphical calculus for CV states [46], the CV topological codes [47] and its application in quantum communication [48], the CV QC with anyons [49], the exploration of CV fault-tolerant QC [50,51], and topological entanglement entropy [52]. These works established the foundation for the further research of CV topological QC.…”

Section: Introductionmentioning

confidence: 99%

Topological error correction with a Gaussian cluster state

Hao,

Wang,

Wang

et al. 2021

Preprint

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Topological error correction provides an effective method to correct errors in quantum computation. It allows quantum computation to be implemented with higher error threshold and high tolerating loss rates. We present a topological a error correction scheme with continuous variables based on an eight-partite Gaussian cluster state. We show that topological quantum correlation between two modes can be protected against a single quadrature phase displacement error occurring on any mode and some of two errors occurring on two modes. More interestingly, some cases of errors occurring on three modes can also be recognised and corrected, which is different from the topological error correction with discrete variables. We show that the final error rate after correction can be further reduced if the modes are subjected to identical errors occurring on all modes with equal probability. The presented results provide a feasible scheme for topological error correction with continuous variables and it can be experimentally demonstrated with a Gaussian cluster state.

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Anonymous broadcasting of classical information with a continuous-variable topological quantum code

Cited by 21 publications

References 69 publications

Quantum-Computing Architecture based on Large-Scale Multi-Dimensional Continuous-Variable Cluster States in a Scalable Photonic Platform

Quantum-Computing Architecture based on Large-Scale Multi-Dimensional Continuous-Variable Cluster States in a Scalable Photonic Platform

Anonymous communication protocol over quantum networks

Topological error correction with a Gaussian cluster state

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