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The Born rule assigns a probability to any possible outcome of a quantum measurement, but leaves open the question how these probabilities are to be interpreted and, in particular, how they relate to the outcome observed in an actual…

量子物理 · 物理学 2017-10-17 Daniela Frauchiger , Renato Renner

The question of the generation of random mixed states is discussed, aiming for the computation of probabilistic characteristics of composite finite dimensional quantum systems. Particularly, we consider the generation of the random…

量子物理 · 物理学 2018-03-14 Arsen Khvedelidze , Ilia Rogojin

We present a protocol to simulate the quantum correlation implied by non maximally entangled two qubit states, in the worst case scenario. This protocol makes a single use of PR-box and a single use of Millionaire box (M-box). To the best…

量子物理 · 物理学 2011-04-14 Ali Ahanj , Pramod S. Joag

We produce two identical keys using, for the first time, entangled trinary quantum systems (qutrits) for quantum key distribution. The advantage of qutrits over the normally used binary quantum systems is an increased coding density and a…

量子物理 · 物理学 2007-05-23 Simon Groeblacher , Thomas Jennewein , Alipasha Vaziri , Gregor Weihs , Anton Zeilinger

We discuss a new approach to simulate quantum algorithms using classical probabilistic bits and circuits. Each qubit (a two-level quantum system) is initially mapped to a vector in an eight dimensional probability space (equivalently, to a…

量子物理 · 物理学 2023-07-28 D. D. Yavuz , A. Yadav

Ternary quantum systems are being studied because these provide more computational state space per unit of information, known as qutrit. A qutrit has three basis states, thus a qubit may be considered as a special case of a qutrit where the…

量子物理 · 物理学 2018-07-06 Ritajit Majumdar , Saikat Basu , Shibashis Ghosh , Susmita Sur-Kolay

The concept of negative probabilities can be used to decompose the interaction of two qubits mediated by a quantum controlled-NOT into three operations that require only classical interactions (that is, local operations and classical…

量子物理 · 物理学 2009-06-16 Holger F. Hofmann

By designing a proper unitary operator U, we synthesize NMR analogues of Einstein-Podolsky-Rosen states (pseudo-EPR states) using generalized Grover's algorithm on a nuclear magnetic resonance (NMR) quantum computer. Experiments also…

量子物理 · 物理学 2009-11-07 Jingfu Zhang , Zhiheng Lu , Lu Shan , Zhiwei Deng

We present a purely wave model (based on classical random field) which reproduces quantum probabilities (given by the fundamental law of quantum mechanics, Born's rule) including probabilities for joint detection of a pair of quantum…

量子物理 · 物理学 2017-02-01 Andrei Khrennikov

Classicality associated with joint measurability of operators manifests through a valid classical joint probability distribution on measurement outcomes. For qudits in dimension $n$, where $n$ is prime or power of prime, we present a method…

量子物理 · 物理学 2020-04-14 H S Smitha Rao , Swarnamala Sirsi , Karthik Bharath

We present a linear-optical scheme for generation of an arbitrary state of three qubits. It requires only three independent particles in the input and post-selection of the coincidence-type at the output. The success probability of the…

量子物理 · 物理学 2024-08-26 Pawel Blasiak , Ewa Borsuk , Marcin Markiewicz

Using the necessary and sufficient conditions, minimum error discrimination among two sets of similarity transformed equiprobable quantum qudit states is investigated. In the case that the unitary operators are generating sets of two…

量子物理 · 物理学 2016-11-25 M. A. Jafarizadeh , Y. Mazhari Khiavi , Y. Akbari Kourbolagh

A finite dimensional quantum system for which the quantum chaos conjecture applies has eigenstates, which show the same statistical properties than the column vectors of random orthogonal or unitary matrices. Here, we consider the different…

数学物理 · 物理学 2017-10-05 L. Alonso , T. Gorin

A quantum processor (QuP) can be used to exploit quantum mechanics to find the prime factors of composite numbers[1]. Compiled versions of Shor's algorithm have been demonstrated on ensemble quantum systems[2] and photonic systems[3-5],…

Contextuality, the impossibility of assigning a single random variable to represent the outcomes of the same measurement procedure under different experimental conditions, is a central aspect of quantum mechanics. Thus defined, it appears…

神经元与认知 · 定量生物学 2016-02-17 J. Acacio de Barros , Gary Oas

The probability-generating function of the number of electron-positron pairs produced in a uniform electric field is constructed. The mean and variance of the numbers of pairs are calculated, and analytical expressions for the probability…

高能物理 - 唯象学 · 物理学 2015-06-05 M. I. Krivoruchenko

A model for two entangled systems in an EPR setting is shown to reproduce the quantum-mechanical outcomes and expectation values. Each system is represented by a small sphere containing a point-like particle embedded in a field. A quantum…

量子物理 · 物理学 2009-09-29 A. Matzkin

The geometric separability probability of composite quantum systems is extensively studied in the last decades. One of most simple but strikingly difficult problem is to compute the separability probability of qubit-qubit and rebit-rebit…

数学物理 · 物理学 2023-07-24 Attila Lovas , Attila Andai

We give an algorithm allowing to construct bases of local unitary invariants of pure k-qubit states from the knowledge of polynomial covariants of the group of invertible local filtering operations. The simplest invariants obtained in this…

量子物理 · 物理学 2013-02-12 Frederic Toumazet , Jean-Gabriel Luque , Jean-Yves Thibon

Polynomial ensembles are a sub-class of probability measures within determinantal point processes. Examples include products of independent random matrices, with applications to Lyapunov exponents, and random matrices with an external…

数学物理 · 物理学 2020-11-11 Gernot Akemann , Eugene Strahov , Tim R. Würfel