Probing mixed-state phases on a quantum computer via Renyi correlators and variational decoding [PDF]
Nature CommunicationsRecent advances have defined nontrivial phases of matter in open quantum systems such as many-body quantum states subject to environmental noise. In this work, we experimentally probe and characterize mixed-state phases on Quantinuum’s H1 quantum ...
Yuxuan Zhang +3 more
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Experimental exploration of five-qubit quantum error-correcting code with superconducting qubits. [PDF]
National Science Review, 2022 Yulin Wu, Xiaobo Zhu, He Lu
exaly +2 more sources
Quantum variational learning for quantum error-correcting codes [PDF]
Quantum, 2022 Quantum error correction is believed to be a necessity for large-scale fault-tolerant quantum computation. In the past two decades, various constructions of quantum error-correcting codes (QECCs) have been developed, leading to many good code families ...
Chenfeng Cao +4 more
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Dynamically Generated Logical Qubits [PDF]
Quantum, 2021 We present a quantum error correcting code with $\textit{dynamically generated logical qubits}$. When viewed as a subsystem code, the code has no logical qubits.
Matthew B. Hastings, Jeongwan Haah
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Kitaev's quantum double model as an error correcting code [PDF]
Quantum, 2020 Kitaev's quantum double models in 2D provide some of the most commonly studied examples of topological quantum order. In particular, the ground space is thought to yield a quantum error-correcting code.
Shawn X. Cui +6 more
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A cellular automaton decoder for a noise-bias tailored color code [PDF]
Quantum, 2023 Self-correcting quantum memories demonstrate robust properties that can be exploited to improve active quantum error-correction protocols. Here we propose a cellular automaton decoder for a variation of the color code where the bases of the physical ...
Jonathan F. San Miguel +2 more
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Resource-efficient fault-tolerant one-way quantum repeater with code concatenation
npj Quantum Information, 2023 One-way quantum repeaters where loss and operational errors are counteracted by quantum error-correcting codes can ensure fast and reliable qubit transmission in quantum networks.
Kah Jen Wo +8 more
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Analysis of a Quantum Error Correcting Code using Quantum Process Calculus [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 We describe the use of quantum process calculus to describe and analyze quantum communication protocols, following the successful field of formal methods from classical computer science. The key idea is to define two systems, one modelling a protocol and
Timothy A. S. Davidson +3 more
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Optimal universal quantum error correction via bounded reference frames
Physical Review Research, 2022 Error correcting codes with a universal set of transversal gates are a desideratum for quantum computing. Such codes, however, are ruled out by the Eastin-Knill theorem.
Yuxiang Yang +4 more
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An Application of p-Fibonacci Error-Correcting Codes to Cryptography
Mathematics, 2021 In addition to their usefulness in proving one’s identity electronically, identification protocols based on zero-knowledge proofs allow designing secure cryptographic signature schemes by means of the Fiat–Shamir transform or other similar constructs ...
Emanuele Bellini +2 more
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