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In this paper, we study the nature of entanglement in quantum Grover's and Shor's algorithms. So far, the authors who have been interested in this problem have approached the question quantitatively by introducing entanglement measures…

量子物理 · 物理学 2019-03-25 Hamza Jaffali , Frédéric Holweck

We consider polarization states of three photons, each in the same given spectral-angular mode. A general form of such states is a superposition of four basic three-photon polarization modes, to be referred to as three-photon polarization…

量子物理 · 物理学 2015-06-19 M. V. Fedorov , N. I. Miklin

It is well known that the classification of pure multiparticle entangled states according to stochastic local operations leads to a natural classification of mixed states in terms of convex sets. We present a simple algorithmic procedure to…

量子物理 · 物理学 2012-09-11 Hermann Kampermann , Otfried Gühne , Colin Wilmott , Dagmar Bruß

Quantum entanglement reflects itself through non-local correlations among the subsystems of a quantum system. This thesis focuses on constructing a complete set of local invariants characterizing symmetric two qubit systems and analyzing…

量子物理 · 物理学 2009-07-14 M. S. Uma

We define a square matrices, by which some stochastic local operations and classical communication (SLOCC) invariants can be obtained. The relation of SLOCC invariants and character polynomial of square matrix are given for three and four…

量子物理 · 物理学 2017-06-30 Xin-Wei Zha

We analyze entanglement in the family of translationally-invariant matrix product states (MPS). We give a criterion to determine when two states can be transformed into each other by SLOCC transformations, a central question in entanglement…

量子物理 · 物理学 2019-10-30 David Sauerwein , Andras Molnar , J. Ignacio Cirac , Barbara Kraus

We reports direct and scalable measurement of multiparticle entanglement concurrence and three-tangle with embedding photonic quantum simulators. In this embedding framework [Phys. Rev. Lett. 111, 240502 (2013)], $N$-qubit entanglement…

量子物理 · 物理学 2016-02-24 Ming-Cheng Chen , Dian Wu , Zu-En Su , Xin-Dong Cai , Xi-Lin Wang , Tao Yang , Li Li , Nai-Le Liu , Chao-Yang Lu , Jan-Wei Pan

We present a scalable method for the tomography of large multiqubit quantum registers. It acquires information about the permutationally invariant part of the density operator, which is a good approximation to the true state in many,…

We propose a feasible scheme to create $n$-party ($n\geq 2$) polarization-entangled photon states in a controllable way. The scheme requires only single-photon sources, single-photon quantum non-demolition measurement (SP-QNDM) and simple…

量子物理 · 物理学 2007-05-23 Zeng-Bing Chen , Jian-Wei Pan , Yong-De Zhang

Based on results well known in the mathematics literature but have not made their debut to the physics literature yet we conduct a study on three-fermionic systems with six, seven, eight and nine single-particle states. Via introducing…

量子物理 · 物理学 2014-04-17 Gábor Sárosi , Péter Lévay

We introduce and study a class of entanglement criteria based on the idea of applying local contractions to an input multipartite state, and then computing the projective tensor norm of the output. More precisely, we apply to a mixed…

量子物理 · 物理学 2020-10-14 Maria Anastasia Jivulescu , Cécilia Lancien , Ion Nechita

We consider the quantum field theory for a scalar model of the electromagnetic field interacting with a system of two-level atoms. In this setting, we show that it is possible to uniquely determine the density of atoms from measurements of…

偏微分方程分析 · 数学 2026-02-03 Matti Lassas , Medet Nursultanov , Lauri Oksanen , John C. Schotland

We present an entanglement criterion for two mode squeezed states which relies on particle counting only. The proposed inequality is optimal for the state under consideration and robust against particle losses up to 2/3. As it does not…

量子物理 · 物理学 2008-09-16 Christine A. Muschik , Eugene S. Polzik , J. Ignacio Cirac

Entanglement is widely considered the cornerstone of quantum information and an essential resource for relevant quantum effects, such as quantum teleportation, quantum cryptography, or the speed-up of quantum computing, as in Shor's…

量子物理 · 物理学 2017-01-13 M. Sanz , I. L. Egusquiza , R. Di Candia , H. Saberi , L. Lamata , E. Solano

Any quantum algorithm can be implemented by an adaptive sequence of single node measurements on an entangled cluster of qubits in a square lattice topology. Photons are a promising candidate for encoding qubits but assembling a photonic…

量子物理 · 物理学 2017-01-16 Mihir Pant , Don Towsley , Dirk Englund , Saikat Guha

The quantification and classification of quantum entanglement is a very important and still open question of quantum information theory. In this paper, we describe an entanglement measure for multipartite pure states (the minimum of…

量子物理 · 物理学 2009-05-05 A. Yu. Chernyavskiy

We study the interconversion of multipartite symmetric $N$-qubit states under stochastic local operations and classical communication (SLOCC). We demonstrate that if two symmetric states can be connected with a nonsymmetric invertible local…

量子物理 · 物理学 2010-05-24 P. Mathonet , S. Krins , M. Godefroid , L. Lamata , E. Solano , T. Bastin

From the consideration of measuring bipartite mixed states by separable pure states, we introduce algebraic sets in complex projective spaces for bipartite mixed states as the degenerating locus of the measurement. These algebraic sets are…

量子物理 · 物理学 2007-05-23 Hao Chen

The polarizing multi-photon quantum states tomography with non-unit quantum efficiency of detectors is considered. A new quantum tomography protocol is proposed. This protocol considers events of losing photons of multi-photon quantum state…

量子物理 · 物理学 2018-02-14 Yu. I. Bogdanov , B. I. Bantysh , N. A. Bogdanova , V. F. Lukichev

Detection and classification of entanglement properties of a multi-qubit system is a topic of great interest. This topic has been studied extensively and thus we found different approaches for the detection and classification of multi-qubit…

量子物理 · 物理学 2023-05-02 Anu Kumari , Satyabrata Adhikari