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We consider protocols for estimating the parameter in a single-parameter unital qubit channel, assuming that the available initial states are highly mixed with very low purity. We compare two protocols, each invoking the channel once, via…

Quantum Physics · Physics 2026-04-14 David Collins , Taylor Larrechea

In this paper we present a general result with an easily checkable condition that ensures a transition from chaotic regime to regular regime in random dynamical systems with additive noise. We show how this result applies to a prototypical…

Dynamical Systems · Mathematics 2022-11-30 Isaia Nisoli

The entanglement dynamics of arrays of qubits is analysed in the presence of some general sources of noise and disorder. In particular, we consider linear chains of Josephson qubits in experimentally realistic conditions. Electromagnetic…

Quantum Physics · Physics 2007-05-23 D. I. Tsomokos , M. J. Hartmann , S. F. Huelga , M. B. Plenio

A central challenge in analog quantum simulation is to characterize desirable physical properties of quantum states produced in experiments. However, in conventional approaches, the extraction of arbitrary information requires performing…

Quantum Physics · Physics 2023-04-04 Minh C. Tran , Daniel K. Mark , Wen Wei Ho , Soonwon Choi

In the thermodynamic limit, the time evolution of isolated long-range interacting systems is properly described by the Vlasov equation. This equation admits non-equilibrium dynamically stable stationary solutions characterized by a zero…

Statistical Mechanics · Physics 2015-05-20 Pierre-Henri Chavanis , Fulvio Baldovin , Enzo Orlandini

Quantum effects in metrology can in principle enhance measurement precision from the so-called standard quantum limit to the Heisenberg Limit. Further advancements in quantum metrology largely rely on innovative metrology protocols that can…

Quantum Physics · Physics 2025-06-16 Zhixing Zou , Jiangbin Gong , Weitao Chen

We study the evolution of a system of interacting ultracold bosons, which presents nonlinear, chaotic, behaviors in the limit of very large number of particles. Using the spectral entropy as an indicator of chaos and three different…

Quantum Gases · Physics 2015-06-23 Benoit Vermersch , Jean Claude Garreau

We study the statistical properties of a single two-level system (qubit) subject to repetitive ancilla-based measurements. This setup is a fundamental minimal model for exploring the intricate interplay between the unitary dynamics of the…

Quantum Physics · Physics 2024-03-26 Paul Pöpperl , Igor V. Gornyi , David B. Saakian , Oleg M. Yevtushenko

We explore reachable sets of open $n$-qubit quantum systems, the coherent parts of which are under full unitary control and that have just one qubit whose Markovian noise amplitude can be modulated in time such as to provide an additional…

Quantum Physics · Physics 2015-03-20 V. Bergholm , T. Schulte-Herbrueggen

Bursting oscillations are commonly seen as a mechanism for information coding in neuroscience and have also been observed in many physical, biochemical, and chemical systems. This study focuses on the computational investigation of…

Dynamical Systems · Mathematics 2021-10-15 Na Yu , Xuan Xia , Juan Liyau

The measurement of a quantum two-level system, or a qubit in modern terminology, often involves an electromagnetic field that interacts with the qubit, before the field is measured continuously and the qubit state is inferred from the noisy…

Quantum Physics · Physics 2014-08-27 Shilin Ng , Mankei Tsang

Quantum control techniques are employed to perform adiabatic quantum computing in the presence of noise. First, we analyze the adiabatic entanglement protocol (AEP) for two qubits. In this case, we found that this protocol is very robust…

Quantum Physics · Physics 2023-06-13 Marllos E. F. Fernandes , Emanuel F. de Lima , Leonardo K. Castelano

Statistical mechanics is founded on the assumption that all accessible configurations of a system are equally likely. This requires dynamics that explore all states over time, known as ergodic dynamics. In isolated quantum systems, however,…

Entangled many-body states are a key resource for quantum technologies. Yet their preparation through analog control of interacting quantum systems is often hindered by experimental imperfections. Here, we introduce the adiabatic echo…

We establish for the first time an exact stochastic dynamical equation for an open quantum systems coupled to correlated noises. We rigorously investigate the nonequilibrium dynamics of a qubit system under the influence of two strongly…

Quantum Physics · Physics 2015-02-16 Jun Jing , Rui Li , J. Q. You , Ting Yu

In standard nonrelativistic quantum mechanics the expectation of the energy is a conserved quantity. It is possible to extend the dynamical law associated with the evolution of a quantum state consistently to include a nonlinear stochastic…

Quantum Physics · Physics 2007-05-23 Dorje C. Brody , Lane P. Hughston

It is generally difficult to study the dynamical properties of a quantum system with both inherent quantum noises and non-perturbative nonlinearity. Due to the possibly drastic intensity increase of an input coherent light in the gain-loss…

Quantum Physics · Physics 2015-05-27 Bing He , Shu-Bin Yan , Jing Wang , Min Xiao

Many quantum systems exhibit high sensitivity to their initial conditions, where microscopic quantum fluctuations can significantly influence macroscopic observables. Understanding how quantum states may influence the behavior of nonlinear…

Quantum fluctuations are inherent in open quantum systems and they affect not only the statistical properties of the initial state but also the time evolution of the system. Using a generic minimal model, we show that quantum noise…

Quantum Gases · Physics 2024-12-17 Richelle Jade L. Tuquero , Jayson G. Cosme

Departing from classical concepts of ergodic theory, formulated in terms of probability densities, measures describing the chaotic behavior and the loss of information in quantum open systems are proposed. As application we discuss the…

Quantum Physics · Physics 2009-10-31 Ph. Blanchard , A. Jadczyk , R. Olkiewicz