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The ground state fidelity per lattice site is shown to be able to detect quantum phase transitions for the Kitaev model on the honeycomb lattice, a prototypical example of quantum lattice systems with topological order. It is found that, in…

强关联电子 · 物理学 2008-03-07 Jian-Hui Zhao , Huan-Qiang Zhou

Disorder-free localization has recently emerged as a mechanism for ergodicity breaking in homogeneous lattice gauge theories. In this work we show that this mechanism can lead to unconventional states of quantum matter as the absence of…

强关联电子 · 物理学 2021-09-22 Guo-Yi Zhu , Markus Heyl

Fidelity estimation for entangled states constitutes an essential building block for quality control and error detection in quantum networks. Nonetheless, quantum networks often encounter heterogeneous and correlated noise, leading to…

量子物理 · 物理学 2024-11-18 Liangzhong Ruan , Bas Dirkse

Stable quantum computation requires noisy results to remain bounded even in the presence of noise fluctuations. Yet non-stationary noise processes lead to drift in the varying characteristics of a quantum device that can greatly influence…

量子物理 · 物理学 2023-07-12 Samudra Dasgupta , Travis S. Humble

In the near-term noisy intermediate-scale quantum (NISQ) era, high noise will significantly reduce the fidelity of quantum computing. Besides, the noise on quantum devices is not stable. This leads to a challenging problem: At run-time, is…

量子物理 · 物理学 2023-09-13 Zhirui Hu , Robert Wolle , Mingzhen Tian , Qiang Guan , Travis Humble , Weiwen Jiang

Recent work has connected the type of fidelity decay in perturbed quantum models to the presence of chaos in the associated classical models. We demonstrate that a system's rate of fidelity decay under repeated perturbations may be measured…

量子物理 · 物理学 2009-11-07 Joseph Emerson , Yaakov S. Weinstein , Seth Lloyd , D. G. Cory

We study exactly both the ground-state fidelity susceptibility and bond-bond correlation function in the Kitaev honeycomb model. Our results show that the fidelity susceptibility can be used to identify the topological phase transition from…

量子物理 · 物理学 2008-07-03 Shuo Yang , Shi-Jian Gu , Chang-Pu Sun , Hai-Qing Lin

The quantum coherence of a Bose-Einstein condensate is studied using the concept of quantum fidelity (Loschmidt echo). The condensate is confined in an elongated anharmonic trap and subjected to a small random potential such as that created…

量子物理 · 物理学 2009-11-13 G. Manfredi , P. -A. Hervieux

Noise is a hindering factor for current-era quantum computers. In this study, we experimentally validate the theoretical relationships between amplitude noise of the control signal and qubit state fidelity. The experiment comprises a 10x10…

The Kitaev honeycomb model supports gapless and gapped quantum spin liquid phases. Its exact solvability relies on extensively many locally conserved quantities. Any real-world manifestation of these phases would include imperfections in…

强关联电子 · 物理学 2025-01-30 Ihor Yatsuta , David F. Mross

We study the reduced fidelity and reduced fidelity susceptibility in the Kitaev honeycomb model. It is shown that the reduced fidelity susceptibility of two nearest site manifest itself a peak at the quantum phase transition point, although…

强关联电子 · 物理学 2010-07-29 Zhi Wang , Tianxing Ma , Shi-Jian Gu , Hai-Qing Lin

By the example of a kicked quartic oscillator we investigate the dynamics of classically chaotic quantum systems with few degrees of freedom affected by persistent external noise. Stability and reversibility of the motion are analyzed in…

量子物理 · 物理学 2009-12-27 Valentin V. Sokolov , Oleg V. Zhirov , Yaroslav A. Kharkov

We derive a universal performance limit for coherent quantum control in the presence of modeled and unmodeled uncertainties. For any target unitary $W$ that is implementable in the absence of error, we prove that the worst-case (and hence…

量子物理 · 物理学 2025-07-14 Robert L. Kosut , Daniel A. Lidar , Herschel Rabitz

The Kitaev honeycomb model provides a paradigmatic example of an exactly solvable quantum spin liquid (QSL), in which the spin degrees of freedom fractionalize into itinerant Majorana fermions coupled to a static background of…

强关联电子 · 物理学 2024-06-28 Vitor Dantas , Wen-Han Kao , Natalia B. Perkins

We study the behavior of the defect and heat densities under sudden quenching near the quantum critical points in the two-dimensional Kitaev honeycomb model both in the thermodynamic and non-thermodynamic limits. We consider quenches…

统计力学 · 物理学 2012-11-29 Aavishkar A. Patel , Amit Dutta

We study the ground state fidelity, fidelity susceptibility and quench dynamics of the extended quantum compass model in a transverse field. This model reveals a rich phase diagram which includes several critical surfaces depending on…

统计力学 · 物理学 2016-04-04 R. Jafari

In quantum/wave systems with chaotic classical analogs, wavefunctions evolve in highly complex, yet deterministic ways. A slight perturbation of the system, though, will cause the evolution to diverge from its original behavior increasingly…

混沌动力学 · 物理学 2009-11-07 Nicholas R. Cerruti , Steven Tomsovic

We study the quantum quench problem for a class of bosonic conformal interfaces by computing the Loschmidt echo and the bipartite fidelity. The quench can be viewed as a sudden change of boundary conditions parameterized by $\theta$ when…

统计力学 · 物理学 2017-12-14 Tianci Zhou , Mao Lin

Errors occurring on noisy hardware pose a key challenge to reliable quantum computing. Existing techniques such as error correction, mitigation, or suppression typically separate the error handling from the algorithm analysis and design. In…

量子物理 · 物理学 2026-01-21 Julian Berberich , Tobias Fellner , Robert L. Kosut , Christian Holm

The Loschmidt echo -- also known as fidelity -- is a very useful tool to study irreversibility in quantum mechanics due to perturbations or imperfections. Many different regimes, as a function of time and strength of the perturbation, have…

混沌动力学 · 物理学 2016-04-18 Ignacio Garcia-Mata , Augusto J. Roncaglia , Diego A. Wisniacki
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