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This paper addresses the problem of checking invariant properties for a large class of symbolic transition systems, defined by a combination of SMT theories and quantifiers. State variables can be functions from an uninterpreted sort…

计算机科学中的逻辑 · 计算机科学 2024-03-01 Gianluca Redondi , Alessandro Cimatti , Alberto Griggio , Kenneth McMillan

There is an ongoing effort to quantify entanglement of quantum pure states for systems with more than two subsystems. We consider three approaches to this problem for three-qubit states: choosing a basis which puts the state into a standard…

量子物理 · 物理学 2009-11-06 Todd A. Brun , Oliver Cohen

The partial scaling transform of the density matrix for multiqubit states is introduced to detect entanglement of quantum states. The transform contains partial transposition as a special case. The scaling transform corresponds to partial…

量子物理 · 物理学 2007-05-23 C. Lupo , V. Man'ko , G. Marmo , E. C. G. Sudarshan

We present a practical classification scheme for the four-partite entangled states under stochastic local operations and classical communication (SLOCC). By transforming a four-partite state into a triple-state set composed of two…

量子物理 · 物理学 2017-08-02 S. M. Zangi , Jun-Li Li , Cong-Feng Qiao

Quantum universal invariants of general N-beam Gaussian fields are investigated from the point of view of fields' intensity moments. A method that uniquely links these invariants, including the global and marginal fields' purities, to…

量子物理 · 物理学 2026-03-09 Nazarii Sudak , Artur Barasiński , Jan Peřina , Anton\' in Černoch

We develop a novel method in classifying the multipartite entanglement state of $2\times N\times N$ under stochastic local operation and classical communication. In this method, all inequivalent classes of true entangled state can be…

量子物理 · 物理学 2010-01-21 Shuo Cheng , Junli Li , Cong-Feng Qiao

Characterizing and quantifying quantum correlations in states of many-particle systems is at the core of a full understanding of phase transitions in matter. In this work, we continue our investigation of the notion of generalized…

量子物理 · 物理学 2009-11-10 Rolando Somma , Gerardo Ortiz , Howard Barnum , Emanuel Knill , Lorenza Viola

We solve the entanglement classification under stochastic local operations and classical communication (SLOCC) for all multipartite symmetric states in the general $N$-qubit case. For this purpose, we introduce 2 parameters playing a…

量子物理 · 物理学 2015-05-13 T. Bastin , S. Krins , P. Mathonet , M. Godefroid , L. Lamata , E. Solano

We propose a method for measuring entangled vibronic quantum states of a trapped atom. It is based on the nonlinear dynamics of the system that appears by resonantly driving a weak electronic transition. The proposed technique allows the…

量子物理 · 物理学 2009-10-30 S. Wallentowitz , R. L. de Matos Filho , W. Vogel

We study the entanglement between a certain qubit and the remaining system in rank- 2 mixed states prepared on the quantum computer. The protocol, which we propose for this purpose, is based on the relation of geometric measure of…

量子物理 · 物理学 2021-05-24 A. R. Kuzmak , V. M. Tkachuk

The classification of symmetry-protected topological (SPT) phases in one dimension has been recently achieved, and had a fundamental impact in our understanding of quantum phases in condensed matter physics. In this framework, SPT phases…

Entanglement is a key ingredient for quantum technologies and a fundamental signature of quantumness in a broad range of phenomena encompassing many-body physics, thermodynamics, cosmology, and life sciences. For arbitrary multiparticle…

量子物理 · 物理学 2016-10-24 Marco Cianciaruso , Thomas R. Bromley , Gerardo Adesso

We present a novel method for quantum tomography of multi-qubit states. We apply the method to spin-multi-photon states, which we produce by periodic excitation of a semiconductor quantum-dot- confined spin every 1/4 of its coherent…

量子物理 · 物理学 2021-08-16 Dan Cogan , Giora Peniakov , Oded Kenneth , Yaroslav Don , David Gershoni

Photons with complex spatial mode structures open up possibilities for new fundamental high-dimensional quantum experiments and for novel quantum information tasks. Here we show for the first time entanglement of photons with complex vortex…

We propose that the entanglement of mixed states is characterised properly in terms of a probability density function $\mathcal{P}_{\rho}(\mathcal{E})$. There is a need for such a measure since the prevalent measures (such as…

量子物理 · 物理学 2009-11-13 Shanthanu Bhardwaj , V. Ravishankar

The concept of entangled quantum states is considered in the context of systems of identical particles, based on the requirement that in order to represent physical states both for the overall system and the sub-systems which may be…

量子物理 · 物理学 2014-01-03 Bryan Dalton , Libby Heaney , John Goold , Thomas Busch , Barry Garraway

Entanglement is a key resource for quantum computing, sensing, and communication, however it is highly susceptible to decoherence. To address this, quantum optics has explored filtering techniques like photon ancillas and Rydberg atom…

Quantum state tomography serves as a key tool for identifying quantum states generated in quantum computers and simulators, typically involving local operations on individual particles or qubits to enable independent measurements. However,…

量子气体 · 物理学 2026-03-26 Giacomo Marmorini , Takeshi Fukuhara , Daisuke Yamamoto

A general analysis of squeezing transformations for two mode systems is given based on the four dimensional real symplectic group $Sp(4,\Re)\/$. Within the framework of the unitary metaplectic representation of this group, a distinction…

量子物理 · 物理学 2009-10-28 Arvind , B. Dutta , N. Mukunda , R. Simon

For a projective measurement, the Born rule provides the probability for an outcome in terms of the inner product between a projector and a quantum state. If the projector represents a pure entangled state and the state for a composite…

量子物理 · 物理学 2017-03-16 Arun Sehrawat