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The entanglement spectrum (ES) provides a barometer of quantum entanglement and encodes physical information beyond that contained in the entanglement entropy. In this paper, we explore the ES of stabilizer codes, which furnish exactly…

量子物理 · 物理学 2019-05-09 Albert T. Schmitz , Sheng-Jie Huang , Abhinav Prem

We perform an extended numerical search for practical fermion-to-qubit encodings with error correcting properties. Ideally, encodings should strike a balance between a number of the seemingly incompatible attributes, such as having a high…

量子物理 · 物理学 2024-05-29 Fedor Simkovic , Martin Leib , Francisco Revson F. Pereira

Entanglement distillation has many applications in quantum information processing and is an important tool for improving the quality and efficiency of quantum communication, cryptography, computing, and simulation. We propose an…

量子物理 · 物理学 2023-08-23 Dan Xu , Changjia Chen , Brian T. Kirby , Li Qian

Pretrained models have become a commodity and offer strong results on a broad range of tasks. In this work, we focus on classification and seek to learn a unique encoder able to take from several complementary pretrained models. We aim at…

计算机视觉与模式识别 · 计算机科学 2024-08-12 Mert Bulent Sariyildiz , Philippe Weinzaepfel , Thomas Lucas , Diane Larlus , Yannis Kalantidis

Real stabilizer operators, which are also known as real Clifford operators, are generated, through composition and tensor product, by the Hadamard gate, the Pauli Z gate, and the controlled-Z gate. We introduce a normal form for real…

量子物理 · 物理学 2021-09-14 Justin Makary , Neil J. Ross , Peter Selinger

How can one discriminate different inequivalent classes of multiparticle entanglement experimentally? We present an approach for the discrimination of an experimentally prepared state from the equivalence class of another state. We consider…

量子物理 · 物理学 2010-08-23 Sönke Niekamp , Matthias Kleinmann , Otfried Gühne

We describe stabilizer states and Clifford group operations using linear operations and quadratic forms over binary vector spaces. We show how the n-qubit Clifford group is isomorphic to a group with an operation that is defined in terms of…

量子物理 · 物理学 2009-11-10 Jeroen Dehaene , Bart De Moor

In this work, we develop an efficient decoding method for graph codes, a class of stabilizer quantum error-correcting codes constructed from graph states. While optimal decoding is generally NP-hard, we propose a faster decoder exploiting…

量子物理 · 物理学 2026-02-17 Nirupam Basak , Goutam Paul

This paper investigates an end-to-end neural diarization (EEND) method for an unknown number of speakers. In contrast to the conventional cascaded approach to speaker diarization, EEND methods are better in terms of speaker overlap…

音频与语音处理 · 电气工程与系统科学 2022-03-29 Shota Horiguchi , Yusuke Fujita , Shinji Watanabe , Yawen Xue , Paola Garcia

Quantum error-correcting codes are used to protect quantum information from decoherence. A raw state is mapped, by an encoding circuit, to a codeword so that the most likely quantum errors from a noisy quantum channel can be removed after a…

量子物理 · 物理学 2021-04-30 Kao-Yueh Kuo , Ching-Yi Lai

Measurement-based quantum repeaters employ entanglement distillation and swapping across links using locally prepared resource states of minimal size and local Bell measurements. In this Letter, we introduce a systematic protocol for…

量子物理 · 物理学 2025-09-30 Yu Shi , Ashlesha Patil , Saikat Guha

Motivated by the problem of designing quantum repeaters, we study entanglement distillation between two parties, Alice and Bob, starting from a mixed state and with the help of "repeater" stations. To treat the case of a single repeater, we…

量子物理 · 物理学 2015-03-17 Nicolas Dutil , Patrick Hayden

Codeword stabilized quantum codes provide a unified approach to constructing quantum error-correcting codes, including both additive and non-additive quantum codes. Standard codeword stabilized quantum codes encode quantum information into…

量子物理 · 物理学 2012-10-18 Jeonghwan Shin , Jun Heo , Todd A. Brun

We present a breeding protocol that distills pure copies of any stabilizer state from noisy copies and a pool of predistilled pure copies of the same state, by means of local Clifford operations, Pauli measurements and classical…

量子物理 · 物理学 2013-05-29 Erik Hostens , Jeroen Dehaene , Bart De Moor

Entanglement distillation refers to the task of transforming a collection of weakly entangled pairs into fewer highly entangled ones. It is a core ingredient in quantum repeater protocols, needed to transmit entanglement over arbitrary…

量子物理 · 物理学 2016-01-20 Stephan Waeldchen , Janina Gertis , Earl T. Campbell , Jens Eisert

Distillation protocols enable generation of high quality entanglement even in the presence of noise. Existing protocols ignore the presence of local information in mixed states produced from some noise sources such as photon loss, amplitude…

量子物理 · 物理学 2010-07-12 Earl T. Campbell

Minimizing both experimental effort and consumption of valuable quantum resources in state estimation is vital in practical quantum information processing. Here, we explore characterizing states as an additional benefit of the entanglement…

One of the fundamental concepts of quantum information theory is that of entanglement purification; that is, the transformation of a partially entangled state into a smaller-dimensional, more completely entangled state. Of particular…

量子物理 · 物理学 2008-02-03 Eric M. Rains

Stabilizer codes form an important class of quantum error correcting codes which have an elegant theory, efficient error detection, and many known examples. Constructing stabilizer codes of length $n$ is equivalent to constructing subspaces…

量子物理 · 物理学 2018-06-12 Tejas Gandhi , Piyush Kurur , Rajat Mittal

Uncontrolled interactions with the environment introduce errors that remain a significant challenge to the reliability of quantum technologies using entanglement. An essential method to overcome or mitigate these errors is entanglement…

量子物理 · 物理学 2025-08-05 Christopher Popp , Tobias C. Sutter , Beatrix C. Hiesmayr