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Master equations in the Lindblad form describe evolution of open quantum systems that is completely positive and simultaneously has a semigroup property. We analyze a possibility to derive this type of master equations from an intrinsically…

量子物理 · 物理学 2007-05-23 Mario Ziman , Peter Stelmachovic , Vladimir Buzek

In characterization of quantum systems, adapting measurement settings based on data while it is collected can generally outperform in efficiency conventional measurements that are carried out independently of data. The existing methods for…

量子物理 · 物理学 2016-11-21 Markku P. V. Stenberg , Frank K. Wilhelm

We introduce a measure of average dimensionality (or coherence) for high-dimensional quantum devices. This includes sets of quantum measurements, steering assemblages, and quantum channels. For measurements and channels, our measure…

量子物理 · 物理学 2023-06-22 Thomas Cope , Roope Uola

We propose an exercise in which one attempts to deduce the formalism of quantum mechanics solely from phenomenological observations. The only assumed inputs are obtained through sequential probing of quantum systems; no presuppositions…

We define non-Markovian quantum dynamics as evolution in which the current state depends on all past states, and completely characterize its structure under the assumptions of complete positivity and non-signalling. The resulting…

量子物理 · 物理学 2026-05-07 Serhii Kryhin , Vivishek Sudhir

We define a simple rule that allows to describe sequences of projective measurements for a broad class of generalized probabilistic models. This class embraces quantum mechanics and classical probability theory, but, for example, also the…

量子物理 · 物理学 2014-10-31 Matthias Kleinmann

Production of a sterile species is studied within an effective model of active-sterile neutrino mixing in a medium in thermal equilibrium. The quantum kinetic equations for the distribution functions and coherences are obtained from two…

高能物理 - 唯象学 · 物理学 2008-11-26 D. Boyanovsky , C. M. Ho

We study joint measurability of quantum observables in open systems governed by a master equation of Lindblad form. We briefly review the historical perspective of open systems and conceptual aspects of quantum measurements, focusing…

量子物理 · 物理学 2023-09-13 Jukka Kiukas , Pekka Lahti , Juha-Pekka Pellonpää

Quantum statistics is defined by Hilbert space products between the eigenstates associated with state preparation and measurement. The same Hilbert space products also describe the dynamics generated by a Hamiltonian when one of the states…

量子物理 · 物理学 2018-03-23 Keito Hibino , Kazuya Fujiwara , Jun-Yi Wu , Masataka Iinuma , Holger F. Hofmann

The probability `measure' for measurements at two consecutive moments of time is non-additive. These probabilities, on the other hand, may be determined by the limit of relative frequency of measured events, which are by nature additive. We…

量子物理 · 物理学 2009-11-10 Charis Anastopoulos

Starting from a state of low quantum entanglement, local unitary time evolution increases the entanglement of a quantum many-body system. In contrast, local projective measurements disentangle degrees of freedom and decrease entanglement.…

统计力学 · 物理学 2019-07-24 Amos Chan , Rahul M. Nandkishore , Michael Pretko , Graeme Smith

Using the principles of the ETH - Approach to Quantum Mechanics we study fluorescence and the phenomenon of ``quantum jumps'' in idealized models of atoms coupled to the quantized electromagnetic field. In a limiting regime where the…

量子物理 · 物理学 2024-05-22 Jürg Fröhlich , Zhou Gang , Alessandro Pizzo

We investigate the strengths and limitations of the Spekkens toy model, which is a local hidden variable model that replicates many important properties of quantum dynamics. First, we present a set of five axioms that fully encapsulate…

量子物理 · 物理学 2008-09-16 Michael Skotiniotis , Aidan Roy , Barry C. Sanders

Identifying the real and imaginary parts of wave functions with coordinates and momenta, quantum evolution may be mapped onto a classical Hamiltonian system. In addition to the symplectic form, quantum mechanics also has a positive-definite…

量子物理 · 物理学 2009-11-07 R. Vilela Mendes , V. I. Man'ko

Most of the fundamental characteristics of quantum mechanics, such as non-locality and contextuality, are manifest in discrete, finite-dimensional systems. However, many quantum information tasks that exploit these properties cannot be…

量子物理 · 物理学 2022-06-14 Thais L. Silva , Łukasz Rudnicki , Daniel S. Tasca , Stephen P. Walborn

We investigate the role of non-selective measurement on the estimation of system-environment parameters. Projective measurement is the popular method of initial state preparation which always prepares a pure state. However, in various…

量子物理 · 物理学 2024-09-17 Ali Raza Mirza , Jim Al-Khalili

The effects of the measurement apparatus on quantum coherence are studied by considering a purely dephasing model of a qubit. The initial state is prepared from a thermal state of the whole system by performing a nonselective measurement on…

量子物理 · 物理学 2021-12-22 Filippo Giraldi

The quantum mechanics postulate called the Born Rule attributes a probabilistic meaning to a wave function. This paper derives the Born Rule from other quantum principles along with a model of the measurement process. The nondeterministic…

量子物理 · 物理学 2025-12-22 Alan Schaum

Measurement is a fundamental notion in the usual approximate quantum mechanics of measured subsystems. Probabilities are predicted for the outcomes of measurements. State vectors evolve unitarily in between measurements and by reduction of…

广义相对论与量子宇宙学 · 物理学 2014-01-14 James B. Hartle

We study a quantum mechanical toy model that mimics some features of a quenched phase transition. Both by virtue of a time-dependent Hamiltonian or by changing the temperature of the bath we are able to show that even after classicalization…

量子物理 · 物理学 2009-11-07 Nuno D. Antunes , Fernando C. Lombardo , Diana Monteoliva