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We describe a measurement device principle based on discrete iterations of Bayesian updating of system state probability distributions. Although purely classical by nature, these measurements are accompanied with a progressive collapse of…

数学物理 · 物理学 2015-06-11 Michel Bauer , Denis Bernard , Tristan Benoist

The notion of "closed systems" in Quantum Mechanics is discussed. For this purpose, we study two models of a quantum-mechanical system $P$ spatially far separated from the "rest of the universe" $Q$. Under reasonable assumptions on the…

数学物理 · 物理学 2015-05-06 Jérémy Faupin , Jürg Fröhlich , Baptiste Schubnel

The topical quantum computation paradigm is a transposition of the Turing machine into the quantum framework. Implementations based on this paradigm have limitations as to the number of: qubits, computation steps, efficient quantum…

量子物理 · 物理学 2007-05-23 Giuseppe Castagnoli

Measurement-based quantum computation has emerged from the physics community as a new approach to quantum computation where the notion of measurement is the main driving force of computation. This is in contrast with the more traditional…

量子物理 · 物理学 2009-05-21 Vincent Danos , Elham Kashefi , Prakash Panangaden

The continuous quantum measurement within the probability representation of quantum mechanics is discussed. The partial classical propagator of the symplectic tomogram associated to a particular measurement outcome is introduced, for which…

量子物理 · 物理学 2021-08-03 Yan Przhiyalkovskiy

Many-party correlations between measurement outcomes in general probabilistic theories are given by conditional probability distributions obeying the non-signalling condition. We show that any such distribution can be obtained from…

量子物理 · 物理学 2013-10-30 Sabri W. Al-Safi , Anthony J. Short

Deciding termination is a fundamental problem in the analysis of probabilistic imperative programs. We consider the qualitative and quantitative probabilistic termination problems for an imperative programming model with discrete…

计算机科学中的逻辑 · 计算机科学 2024-07-25 Rupak Majumdar , V. R. Sathiyanarayana

In order to claim that one has experimentally tested whether a noncontextual ontological model could underlie certain measurement statistics in quantum theory, it is necessary to have a notion of noncontextuality that applies to unsharp…

量子物理 · 物理学 2015-01-07 Robert W. Spekkens

Quantum mechanical systems exhibit an inherently probabilistic nature upon measurement which excludes in principle the singular direct observability continual case. Quantum theory of time continuous measurements and quantum prediction…

数学物理 · 物理学 2007-05-23 V. P. Belavkin

Understanding the core content of quantum mechanics requires us to disentangle the hidden logical relationships between the postulates of this theory. Here we show that the mathematical structure of quantum measurements, the formula for…

量子物理 · 物理学 2019-04-02 Lluís Masanes , Thomas D. Galley , Markus P. Müller

If an experimentalist observes a sequence of emitted quantum states via either projective or positive-operator-valued measurements, the outcomes form a time series. Individual time series are realizations of a stochastic process over the…

量子物理 · 物理学 2023-06-14 A. Venegas-Li , J. P. Crutchfield

Non-commutative spacetime and quantum groups have been argued to capture non-classical features of spacetime and its symmetries in the low-energy limit of quantum gravity. In this letter, we show that employing the $SU_q(2)$ quantum group…

量子物理 · 物理学 2026-05-29 Vittorio D'Esposito , Giuseppe Fabiano , Domenico Frattulillo

We demonstrate in this paper that the probabilities for sequential measurements have features very different from those of single-time measurements. First, they cannot be modelled by a classical stochastic process. Second, they are…

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

It is proposed a possible new approach of quantum measurements (QMS), disconnected of the traditional interpretation of uncertainty relations and independent of any appeal to the strange idea of collapse (reduction) of wave functions. The…

量子物理 · 物理学 2007-05-23 S. Dumitru

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

We propose quantum devices that can realize probabilistically different projective measurements on a qubit. The desired measurement basis is selected by the quantum state of a program register. First we analyze the phase-covariant…

量子物理 · 物理学 2009-11-10 Jaromir Fiurasek , Miloslav Dusek

Quantum computation offers a promising new kind of information processing, where the non-classical features of quantum mechanics can be harnessed and exploited. A number of models of quantum computation exist, including the now well-studied…

量子物理 · 物理学 2011-08-03 H. J. Briegel , D. E. Browne , W. Dür , R. Raussendorf , M. Van den Nest

In order to resolve the measurement problem of Quantum Mechanics, non-unitary time evolution has been derived from the unitarity of standard quantum formalism. New wave functions of free and non-free quantum systems follow from Schroedinger…

量子物理 · 物理学 2007-05-23 Pradip Kumar Chatterjee

While quantum speed-up in solving certain decision problems by a fault-tolerant universal quantum computer has been promised, a timely research interest includes how far one can reduce the resource requirement to demonstrate a provable…

量子物理 · 物理学 2018-01-01 Jacob Miller , Stephen Sanders , Akimasa Miyake

Pushing forward the understanding of general non-unitary dynamics in controlled quantum platforms has been fueled by the recent discovery of measurement-induced phases and phase transitions. So far, these transitions remained largely…

无序系统与神经网络 · 物理学 2022-08-24 M. Buchhold , T. Müller , S. Diehl