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Topological methods, including persistent homology, are powerful tools for analysis of high-dimensional data sets but these methods rely almost exclusively on thresholding techniques. In noisy data sets, thresholding does not always allow…

计算几何 · 计算机科学 2016-09-08 Jennifer Kloke , Gunnar Carlsson

If a quantum computer is stabilized by fault-tolerant quantum error correction (QEC), then most of its resources (qubits and operations) are dedicated to the extraction of error information. Analysis of this process leads to a set of…

量子物理 · 物理学 2007-05-23 Andrew M. Steane

We study protection of a qubit that transfer through a decoherence noise by quantum control technique. In this work, we assume that the communication participants have some side information about the qubit. Our aim is to take fully…

量子物理 · 物理学 2019-06-04 Ya Cao , Fei Gao , DanDan Li , QiaoYan Wen

Scalable quantum computing can only be achieved if qubits are manipulated fault-tolerantly. Topological error correction - a novel method which combines topological quantum computing and quantum error correction - possesses the highest…

Two-dimensional topological states of matter offer a route to quantum computation that would be topologically protected against the nemesis of the quantum circuit model: decoherence. Research groups in industry, government and academic…

数学物理 · 物理学 2016-05-04 Eric C. Rowell

Quantum computing is changing the way we think about computing. Significant strides in research and development for managing and harnessing the power of quantum systems has been made in recent years, demonstrating the potential for…

量子物理 · 物理学 2022-11-15 Suryansh Upadhyay , Mahabubul Alam , Swaroop Ghosh

Efficient communication between qubits relies on robust networks which allow for fast and coherent transfer of quantum information. It seems natural to harvest the remarkable properties of systems characterized by topological invariants to…

量子物理 · 物理学 2017-11-23 Nicolai Lang , Hans Peter Büchler

The quantum computing devices of today have tens to hundreds of qubits that are highly susceptible to noise due to unwanted interactions with their environment. The theory of quantum error correction provides a scheme by which the effects…

量子物理 · 物理学 2022-08-02 Akshaya Jayashankar , Prabha Mandayam

Quantum computation holds the promise of solving certain complex problems exponentially faster than classical computers. However, the high prevalent noise in current quantum devices impedes the accurate execution of even basic algorithms.…

量子物理 · 物理学 2026-05-13 Prithviraj Prabhu

The unrivaled robustness of topologically ordered states of matter against perturbations has immediate applications in quantum computing and quantum metrology, yet their very existence poses a challenge to our understanding of phase…

强关联电子 · 物理学 2022-09-27 Amit Jamadagni , Hendrik Weimer

The implementation of large-scale fault-tolerant quantum computers calls for the integration of millions of physical qubits, with error rates of physical qubits significantly below 1%. This outstanding engineering challenge may benefit from…

介观与纳米尺度物理 · 物理学 2021-12-30 Jeroen Danon , Anasua Chatterjee , András Gyenis , Ferdinand Kuemmeth

We elaborate the idea of quantum computation through measuring the correlation of a gapped ground state, while the bulk Hamiltonian is utilized to stabilize the resource. A simple computational primitive, by pulling out a single spin…

量子物理 · 物理学 2010-07-29 Akimasa Miyake

For successful realization of a quantum computer, its building blocks (qubits) should be simultaneously scalable and sufficiently protected from environmental noise. Recently, a novel approach to the protection of superconducting qubits has…

介观与纳米尺度物理 · 物理学 2013-03-06 Sergey Gladchenko , David Olaya , Eva Dupont-Ferrier , Benoit Doucot , Lev B. Ioffe , Michael E. Gershenson

A computationally secure noised based cipher system is proposed. The advantage of this cipher system is that it operates above noise level. Therefore computationally secure communication can be done when error correction code fails. Another…

量子物理 · 物理学 2007-05-23 Arindam Mitra

The role of topology in QIS with physical connection to the noncommutativity, discretization,supersymmetry, entanglement, nonseparability and CP violation in physics is discussed.

量子物理 · 物理学 2007-05-23 Jaroslav Hruby

In this paper, we show how to use low-fidelity operations to control the dynamics of quantum systems. Noisy operations usually drive a system to evolve into a mixed state and damage the coherence. Sometimes frequent noisy operations result…

量子物理 · 物理学 2015-06-12 Ying Li

It is shown that if one can perform a restricted set of fast manipulations on a quantum system, one can implement a large class of dynamical evolutions by effectively removing or introducing selected Hamiltonians. The procedure can be used…

量子物理 · 物理学 2009-01-23 Lorenza Viola , Seth Lloyd , Emanuel Knill

Encrypted control has been extensively studied to ensure the confidentiality of system states and control inputs for networked control systems. This paper presents a computationally efficient encrypted control framework for networked…

量子物理 · 物理学 2025-12-16 Zihao Ren , Daniel Quevedo , Salah Sukkarieh , Guodong Shi

Quantum information can be processed using large ensembles of ultracold and trapped neutral atoms, building naturally on the techniques developed for high-precision spectroscopy and metrology. This article reviews some of the most important…

量子物理 · 物理学 2007-05-23 P. S. Jessen , I. H. Deutsch , R. Stock

As large-scale quantum computers become a reality, they will likely exist as centralized cloud resources accessible to a broad user base. Securely delegating private quantum computations to untrusted servers is therefore a foundational…

量子物理 · 物理学 2025-09-29 Sanidhya Gupta , Ankur Raina