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We derive universal codes for simultaneous transmission of classical messages and entanglement through quantum channels, possibly under attack of a malignant third party. These codes are robust to different kinds of channel uncertainty. To…

Mathematical Physics · Physics 2019-03-27 Holger Boche , Gisbert Janßen , Sajad Saeedinaeeni

It is imperative to ensure the stability of every prediction made by a language model; that is, a language's prediction should remain consistent despite minor input variations, like word substitutions. In this paper, we investigate the…

Computation and Language · Computer Science 2024-06-06 Qian Lou , Xin Liang , Jiaqi Xue , Yancheng Zhang , Rui Xie , Mengxin Zheng

The stabilizing properties of one-error correcting jump codes are explored under realistic non-ideal conditions. For this purpose the quantum algorithm of the tent-map is decomposed into a universal set of Hamiltonian quantum gates which…

Quantum Physics · Physics 2007-05-23 Oliver Kern , Gernot Alber

We construct new families of multi-error-correcting quantum codes for the amplitude damping channel. Our key observation is that, with proper encoding, two uses of the amplitude damping channel simulate a quantum erasure channel. This…

Quantum Physics · Physics 2011-03-31 Runyao Duan , Markus Grassl , Zhengfeng Ji , Bei Zeng

The rapid evolution of quantum devices fuels concerted efforts to experimentally establish quantum advantage over classical computing. Many demonstrations of quantum advantage, however, rely on computational assumptions and face…

Designing quantum error correcting codes that promise a high error threshold, low resource overhead and efficient decoding algorithms is crucial to achieve large-scale fault-tolerant quantum computation. The concatenated quantum Hamming…

Quantum Physics · Physics 2026-05-12 Menglong Fang , Daiqin Su

Robust quantum computation requires encoding delicate quantum information into degrees of freedom that are hard for the environment to change. Quantum encodings have been demonstrated in many physical systems by observing and correcting…

Quantum Physics · Physics 2017-11-08 Maika Takita , Andrew W. Cross , A. D. Córcoles , Jerry M. Chow , Jay M. Gambetta

Parallel tensor network contraction algorithms have emerged as the pivotal benchmarks for assessing the classical limits of computation, exemplified by Google's demonstration of quantum supremacy through random circuit sampling. However,…

Information Theory · Computer Science 2024-05-24 Jin Lee , Sofia Gonzalez-Garcia , Zheng Zhang , Haewon Jeong

Quantum error correction codes (QECCs) play a central role in both quantum communications and quantum computation. Practical quantum error correction codes, such as stabilizer codes, are generally structured to suit a specific use, and…

Quantum Physics · Physics 2023-10-30 Diogo Cruz , Francisco A. Monteiro , Bruno C. Coutinho

The accelerated development of quantum technology has reached a pivotal point. Early in 2014, several results were published demonstrating that several experimental technologies are now accurate enough to satisfy the requirements of…

Quantum Physics · Physics 2014-05-21 Simon J. Devitt

We show that quantum expander codes, a constant-rate family of quantum LDPC codes, with the quasi-linear time decoding algorithm of Leverrier, Tillich and Z\'emor can correct a constant fraction of random errors with very high probability.…

Quantum Physics · Physics 2022-07-13 Omar Fawzi , Antoine Grospellier , Anthony Leverrier

The language models, especially the basic text classification models, have been shown to be susceptible to textual adversarial attacks such as synonym substitution and word insertion attacks. To defend against such attacks, a growing body…

Cryptography and Security · Computer Science 2024-06-12 Xinyu Zhang , Hanbin Hong , Yuan Hong , Peng Huang , Binghui Wang , Zhongjie Ba , Kui Ren

flip is an extremely simple and maximally local classical decoder which has been used to great effect in certain classes of classical codes. When applied to quantum codes there exist constant-weight errors (such as half of a stabiliser)…

Quantum Physics · Physics 2023-08-30 T. R. Scruby , K. Nemoto

Quantum-resistant cryptography is cryptography that aims to deliver cryptographic functions and protocols that remain secure even if large-scale fault-tolerant quantum computers are built. NIST will soon announce the first selected…

Cryptography and Security · Computer Science 2021-12-02 John Preuß Mattsson , Ben Smeets , Erik Thormarker

Collective coherent (CC) errors are inevitable, as every physical qubit undergoes free evolution under its kinetic Hamiltonian. These errors can be more damaging than stochastic Pauli errors because they affect all qubits coherently,…

Quantum Physics · Physics 2025-11-14 En-Jui Chang

Despite the linearity of its encoding, compressed sensing may be used to provide a limited form of data protection when random encoding matrices are used to produce sets of low-dimensional measurements (ciphertexts). In this paper we…

Information Theory · Computer Science 2016-11-15 Valerio Cambareri , Mauro Mangia , Fabio Pareschi , Riccardo Rovatti , Gianluca Setti

We develop quantum protocols for anomaly detection and apply them to the task of credit card fraud detection (FD). First, we establish classical benchmarks based on supervised and unsupervised machine learning methods, where average…

Quantum Physics · Physics 2022-08-03 Oleksandr Kyriienko , Einar B. Magnusson

Quantum information science strives to leverage the quantum-mechanical nature of our universe in order to achieve large improvements in certain information processing tasks. In deep-space optical communications, current receivers for the…

Quantum Physics · Physics 2020-04-16 Narayanan Rengaswamy

The advantage that many quantum algorithms have over their classical counterparts may be lost when the results are extracted as classical data (output problem). One example are eigenpair solvers, which encode the eigenpairs in a quantum…

Quantum Physics · Physics 2025-11-13 Sven Danz

Advances in reverse engineering make it challenging to deploy any on-chip information in a way that is hidden from a determined attacker. A variety of techniques have been proposed for design obfuscation including look-alike cells in which…

Cryptography and Security · Computer Science 2017-10-26 Shahrzad Keshavarz , Daniel Holcomb