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In this work, we develop a mathematical framework to model a quantum system whose Hamiltonian may depend on the state of changing environment, that evolves according to a Markovian process. When the environment changes its state, the…

量子物理 · 物理学 2023-08-17 Henryk Gzyl

The thermodynamic limit of the internal energy and the entropy of the system of quantum interacting particles in random medium is shown to exist under the crucial requirements of stability and temperedness of interactions. The energy turns…

数学物理 · 物理学 2012-01-24 Nikolaj A. Veniaminov

The traditional quantum speed limits are not attainable for many physical processes, as they tend to be loose and fail to determine the exact time taken by quantum systems to evolve. To address this, we derive exact quantum speed limits for…

量子物理 · 物理学 2023-08-30 Arun K. Pati , Brij Mohan , Sahil , Samuel L. Braunstein

The problem of identifiability of model parameters for open quantum systems is considered by investigating two-level dephasing systems. We discuss under which conditions full information about the Hamiltonian and dephasing parameters can be…

量子物理 · 物理学 2015-01-15 Er-ling Gong , Weiwei Zhou , S. G. Schirmer , Zhi-Qiang Sun , Ming Zhang

We provide a novel approach for characterization of quantum Hamiltonian systems via utilizing a single measurement device. Specifically, we demonstrate how external quantum correlations can be used for Hamiltonian identification tasks. We…

量子物理 · 物理学 2008-04-23 M. Mohseni , A. T. Rezakhani , A. Aspuru-Guzik

The measurement postulate of quantum theory stands in conflict with the laws of thermodynamics and has evoked debate regarding what actually constitutes a measurement. With the help of modern quantum statistical mechanics, we take the first…

量子物理 · 物理学 2025-12-16 Emanuel Schwarzhans , Felix C. Binder , Marcus Huber , Maximilian P. E. Lock

Entropy measures quantify the amount of information and correlation present in a quantum system. In practice, when the quantum state is unknown and only copies thereof are available, one must resort to the estimation of such entropy…

量子物理 · 物理学 2024-03-27 Ziv Goldfeld , Dhrumil Patel , Sreejith Sreekumar , Mark M. Wilde

Variational quantum algorithms are ubiquitous in applications of noisy intermediate-scale quantum computers. Due to the structure of conventional parametrized quantum gates, the evaluated functions typically are finite Fourier series of the…

量子物理 · 物理学 2022-04-20 David Wierichs , Josh Izaac , Cody Wang , Cedric Yen-Yu Lin

We consider a hybrid quantum system consisting of a qubit system continuously evolving according to its fixed own Hamiltonian and a quantum computer. The qubit system couples to a quantum computer through a fixed interaction Hamiltonian,…

量子物理 · 物理学 2021-10-13 Ryosuke Sakai , Akihito Soeda , Mio Murao

In this paper we consider the problem of tracking the state of a quantum system via a continuous measurement. If the system Hamiltonian is known precisely, this merely requires integrating the appropriate stochastic master equation.…

量子物理 · 物理学 2011-11-29 Jason F. Ralph , Kurt Jacobs , Charles D. Hill

Quantum fidelity is a central tool in quantum information, quantifying how much two quantum states are similar. Here we propose a limit formula for the quantum fidelity between a mixed state and a pure state. As an example of an…

量子物理 · 物理学 2014-10-13 Gaetana Spedalieri , Christian Weedbrook , Stefano Pirandola

Quantum speed limits (QSLs) identify fundamental time scales of physical processes by providing lower bounds on the rate of change of a quantum state or the expectation value of an observable. We introduce a generalization of QSL for…

量子物理 · 物理学 2022-12-28 Nicoletta Carabba , Niklas Hörnedal , Adolfo del Campo

The exceptional points of non-Hermitian systems, where $n$ different energy eigenstates merge into an identical one, have many intriguing properties that have no counterparts in Hermitian systems. In particular, the $\epsilon^{1/n}$…

量子物理 · 物理学 2019-09-04 Chong Chen , Liang Jin , Ren-Bao Liu

The ultimate precision of any measurement of the temperature of a quantum system is the inverse of the local quantum thermal susceptibility [De Pasquale et al., Nature Communications 7, 12782 (2016)] of the subsystem with whom the…

量子物理 · 物理学 2017-05-24 Giacomo De Palma , Antonella De Pasquale , Vittorio Giovannetti

We derive fundamental bounds for general quantum metrological models involving both temporal or spatial correlations (mathematically described by quantum combs), which may be effectively computed in the limit of a large number of probes or…

量子物理 · 物理学 2025-09-24 Stanislaw Kurdzialek , Francesco Albarelli , Rafal Demkowicz-Dobrzanski

A quantum measurement involves energy exchanges between the system to be measured and the measuring apparatus. Some of them involve energy losses, for example because energy is dissipated into the environment or is spent in recording the…

量子物理 · 物理学 2025-04-10 Guillermo Perna , Esteban Calzetta

A continuously measured quantum system may be described by restricted path integrals (RPI) or equivalently by non-Hermitian Hamiltonians. The measured system is then considered as an open system, the influence of the environment being taken…

量子物理 · 物理学 2007-05-23 Michael B. Mensky

We quantitatively analyze superradiance (collective emission) in a three-dimensional array of qubits without imposing any restrictions on the size of the sample. We show that even when the spacing between the qubits become arbitrarily…

量子物理 · 物理学 2015-11-20 D. D. Yavuz , B. Lemberger

Achieving the ultimate precisions for multiple parameters simultaneously is an outstanding challenge in quantum physics, because the optimal measurements for incompatible parameters cannot be performed jointly due to the Heisenberg…

量子物理 · 物理学 2023-10-12 Binke Xia , Jingzheng Huang , Hongjing Li , Han Wang , Guihua Zeng

In quantum multiparameter estimation, multiple to-be-estimated parameters are encoded in a quantum dynamics system by a unitary evolution. As the parameters vary, the system may undergo a topological phase transition (TPT). In this paper,…

量子物理 · 物理学 2024-02-13 Yu Yang , Haidong Yuan , Fuli Li