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Articles by Debbie Leung
[2610.02176] From Permutation Symmetry to Communication Bounds and Additivity
Correlations across channel uses can improve quantum communication rates, making optimization over arbitrarily large blocks a central difficulty in determining quantum capacity. We show how full permutation invariance limits this advantage for every finite-dimensional memoryless channel. The optimized coherent information per use converges to the single-use maximum and consequently attains its supremum at a finite block length.
[2504.07068] Quantum Reverse Shannon Theorem Revisited
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Rate reduction of blind quantum data compression with local approximations based on the unstable structure of quantum states
Abstract In this paper we propose a protocol for a data compression task, blind quantum data compression, with finite local approximations. The rate of blind data compression is susceptible to approximations even when the approximations are diminutive. This instability originates from the sensitivity of a structure of quantum states against approximations, which makes the analysis of blind compression in the presence of approximations intractable.
Generic Nonadditivity of Quantum Capacity in Simple Channels
Abstract Determining capacities of quantum channels is a fundamental question in quantum information theory. Despite having rigorous coding theorems quantifying the flow of information across quantum channels, their capacities are poorly understood due to superadditivity effects. Studying these phenomena is important for deepening our understanding of quantum information, yet simple and clean examples of superadditive channels are scarce. Here we study a family of channels called platypus channels.
[2208.11698] Rate-Distortion Theory for Mixed States
[Submitted on 24 Aug 2022 ( v1 ), last revised 7 May 2023 (this version, v2)] Title:Rate-Distortion Theory for Mixed States Download a PDF of the paper titled Rate-Distortion Theory for Mixed States, by Zahra Baghali Khanian and Kohdai Kuroiwa and Debbie Leung Download PDF Abstract: In this paper we consider the compression of asymptotically many i.i.d. copies of ensembles of mixed quantum states where the encoder has access to a side information system.
Achieving Fault Tolerance on Capped Color Codes with Few Ancillas
Attaining fault tolerance while maintaining low overhead is one of the main challenges in a practical implementation of quantum circuits. One major technique that can overcome this problem is the flag technique, in which high-weight errors arising from a few faults can be detected by a few ancillas and distinguished using subsequent syndrome measurements.
Fault-tolerant quantum error correction using error weight parities
Abstract In quantum error correction using imperfect primitives, errors of high weight arising from a few faults are major concerns since they might not be correctable by the quantum error correcting code. Fortunately, some errors of different weights are logically equivalent, and the same correction procedure is applicable to all equivalent errors; thus correcting high-weight errors is sometimes possible.
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