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We present rigorous performance bounds for the quadratic dynamical decoupling (QDD) pulse sequence which protects a qubit from general decoherence, and for its nested generalization to an arbitrary number of qubits. Our bounds apply under…

量子物理 · 物理学 2012-01-06 Yuhou Xia , Gotz S. Uhrig , Daniel A. Lidar

Determining the optimal fidelity for the transmission of quantum information over noisy quantum channels is one of the central problems in quantum information theory. Recently, [Berta-Borderi-Fawzi-Scholz, Mathematical Programming, 2021]…

量子物理 · 物理学 2026-04-21 Yeow Meng Chee , Hoang Ta , Van Khu Vu

The minimal evolution time between two distinguishable states is of fundamental interest in quantum physics. Very recently Mirkin et al. argue that some most common quantum-speed-limit (QSL) bounds which depend on the actual evolution time…

量子物理 · 物理学 2017-05-31 Xin Liu , Wei Wu , Chao Wang

We formulate limits to perception under continuous quantum measurements by comparing the quantum states assigned by agents that have partial access to measurement outcomes. To this end, we provide bounds on the trace distance and the…

量子物理 · 物理学 2021-12-30 Luis Pedro García-Pintos , Adolfo del Campo

In the quest to realize a scalable quantum network, semiconductor quantum dots (QDs) offer distinct advantages including high single-photon efficiency and indistinguishability, high repetition rate (tens of GHz with Purcell enhancement),…

Total variation (TV) minimization is one of the most important techniques in modern signal/image processing, and has wide range of applications. While there are numerous recent works on the restoration guarantee of the TV minimization in…

偏微分方程分析 · 数学 2022-07-18 Jian-Feng Cai , Jae Kyu Choi , Ke Wei

While the ability to measure low temperatures accurately in quantum systems is important in a wide range of experiments, the possibilities and the fundamental limits of quantum thermometry are not yet fully understood theoretically. Here we…

量子物理 · 物理学 2019-07-10 Patrick P. Potts , Jonatan Bohr Brask , Nicolas Brunner

Variational quantum time evolution allows us to simulate the time dynamics of quantum systems with near-term compatible quantum circuits. Due to the variational nature of this method the accuracy of the simulation is a priori unknown. We…

量子物理 · 物理学 2023-10-25 Christa Zoufal , David Sutter , Stefan Woerner

The minimal time required for a system to evolve between two different states is an important notion for developing ultra-speed quantum computer and communication channel. Here, we introduce a new metric for non-degenerate density operator…

量子物理 · 物理学 2017-01-25 Debasis Mondal , Arun Kumar Pati

This document focuses on translating various information-theoretic measures of distinguishability for probability distributions into measures of distin- guishability for quantum states. These measures should have important appli- cations in…

量子物理 · 物理学 2007-05-23 Christopher A. Fuchs

Quantum computers promise to solve important problems faster than conventional computers. However, unleashing this power has been challenging. In particular, design automation runs into (1) the probabilistic nature of quantum computation…

量子物理 · 物理学 2023-11-08 Stefan Hillmich , Richard Kueng , Igor L. Markov , Robert Wille

Non-locality is a fundamental trait of quantum many-body systems, both at the level of pure states, as well as at the level of mixed states. Due to non-locality, mixed states of any two subsystems are correlated in a stronger way than what…

统计力学 · 物理学 2016-09-28 Daniele Malpetti , Tommaso Roscilde

Quantum nondemolition (QND) measurements are a precious resource for quantum information processing. Repetitive QND measurements can boost the fidelity of qubit preparation and measurement, even when the underlying single-shot measurements…

Distances between quantum states are reviewed within the framework of the tomographic-probability representation. Tomographic approach is based on observed probabilities and is straightforward for data processing. Different states are…

量子物理 · 物理学 2010-10-12 S. N. Filippov , V. I. Man'ko

Quantum tomography is the main method used to assess the quality of quantum information processing devices, but its complexity presents a major obstacle for the characterization of even moderately large systems. The number of experimental…

量子物理 · 物理学 2015-03-19 Marcus P. da Silva , Olivier Landon-Cardinal , David Poulin

We provide a quantum benchmark for teleportation and storage of single-mode squeezed states with zero displacement and a completely unknown degree of squeezing along a given direction. For pure squeezed input states, a fidelity higher than…

量子物理 · 物理学 2008-04-29 Gerardo Adesso , Giulio Chiribella

We analyze tight informationally complete measurements for arbitrarily large multipartite systems and study their configurations of entanglement. We demonstrate that tight measurements cannot be exclusively composed neither of fully…

量子物理 · 物理学 2018-06-26 Jakub Czartowski , Dardo Goyeneche , Karol Życzkowski

We investigate the effect of stochastic control errors on the Hamiltonian that controls a closed quantum system. Quantum information technologies require careful control for preparing a desired state used as an information resource.…

量子物理 · 物理学 2023-09-04 Kohei Kobayashi

We propose an operational measure of distance of two quantum states, which conversely tells us their closeness. This is defined as a sum of differences in partial knowledge over a complete set of mutually complementary measurements for the…

量子物理 · 物理学 2009-11-10 Jinhyoung Lee , M. S. Kim , Caslav Brukner

We experimentally demonstrate that it is impossible to simulate quantum bipartite correlations with a deterministic universal Turing machine. Our approach is based on the Normalized Information Distance (NID) that allows the comparison of…