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Quantum walks, both discrete (coined) and continuous time, form the basis of several recent quantum algorithms. Here we use numerical simulations to study the properties of discrete, coined quantum walks. We investigate the variation in the…

量子物理 · 物理学 2008-04-21 Ivens Carneiro , Meng Loo , Xibai Xu , Mathieu Girerd , Viv Kendon , Peter L. Knight

Entanglement is a fundamental feature of quantum mechanics and a key resource for quantum information processing. Among multipartite entangled states, Dicke states $|D_n^k\rangle$ are distinguished by their permutation symmetry, which…

量子物理 · 物理学 2026-04-03 Minhyeok Kang , Jaehee Kim , William J. Munro , Seungbeom Chin , Joonsuk Huh

Binary Tree States (BTS) are states whose decomposition on a quantum register basis formed by a set of qubits can be made sequentially. Such states sometimes appear naturally in many-body systems treated in Fock space when a global symmetry…

核理论 · 物理学 2024-05-07 Denis Lacroix

In this paper, we provide a complete mathematical theory for the entanglement of mixtures of Dicke states. These quantum states form an important subclass of bosonic states arising in the study of indistinguishable particles. We introduce a…

量子物理 · 物理学 2026-02-18 Aabhas Gulati , Ion Nechita , Clément Pellegrini

Recent experiments demonstrate the production of many thousands of neutral atoms entangled in their spin degrees of freedom. We present a criterion for estimating the amount of entanglement based on a measurement of the global spin. It…

量子物理 · 物理学 2014-09-10 Bernd Lücke , Jan Peise , Giuseppe Vitagliano , Jan Arlt , Luis Santos , Geza Toth , Carsten Klempt

We present methods for detecting entanglement around symmetric Dicke states. In particular, we consider N-qubit symmetric Dicke states with N/2 excitations. In the first part of the paper we show that for large N these states have the…

量子物理 · 物理学 2007-05-23 Geza Toth

There has been an extensive development in the use of multi-partite entanglement as a resource for various quantum information processing tasks. In this paper we focus on preparing arbitrary spin eigenstates whose subset contain important…

量子物理 · 物理学 2020-08-18 Amritesh Sharma , Ashwin A. Tulapurkar

We present criteria to detect the depth of entanglement in macroscopic ensembles of spin-j particles using the variance and second moments of the collective spin components. The class of states detected goes beyond traditional spin-squeezed…

We propose an efficient yet simple protocol to generate arbitrary symmetric entangled states with only global single-qubit rotations in a torn Hilbert space. The system is based on spin-1/2 qubits in a resonator such as atoms in an optical…

量子物理 · 物理学 2024-09-06 Tao Zhang , Zhihao Chi , Jiazhong Hu

We generalize the symmetric multi-qubit states to their q-analogs, whose basis vectors are identified with the q-Dicke states. We study the entanglement entropy in these states and find that entanglement is extruded towards certain regions…

量子物理 · 物理学 2013-10-14 Zhi-Hua Li , An-Min Wang

We derive an explicit expression for geometric measure of entanglement for spin and other quantum system. A relation of entanglement in pure state with the mean value of spin is given, thus, at the experimental level the local measurement…

量子物理 · 物理学 2015-10-12 Andrzej M. Frydryszak , Volodymyr M. Tkachuk

Two systems whose correlations cannot be classically accounted for display the simplest instance of quantum entanglement. Although this two-party association has caused a revolution in the foundations and uses of quantum mechanics, genuine…

量子物理 · 物理学 2017-07-26 M. G. M. Moreno , Fernando Parisio

The notion of {\em entanglement entropy} in quantum mechanical systems is an important quantity, which measures how much a physical state is entangled in a composite system. Mathematically, it measures how much the state vector is not…

数论 · 数学 2023-12-29 Hee-Joong Chung , Dohyeong Kim , Minhyong Kim , Jeehoon Park , Hwajong Yoo

We describe the structure of the $n$-qubit Clifford group $C_n$ via Cayley graphs, whose vertices represent group elements and edges represent generators. In order to obtain the action of Clifford gates on a given quantum state, we…

量子物理 · 物理学 2026-05-05 Cynthia Keeler , William Munizzi , Jason Pollack

Bell-network states are loop-quantum-gravity states that glue quantum polyhedra with entanglement. We present an algorithm and a code that evaluates the reduced density matrix of a Bell-network state and computes its entanglement entropy.…

广义相对论与量子宇宙学 · 物理学 2019-04-24 Eugenio Bianchi , Pietro Dona , Ilya Vilensky

We study quantum trajectories of collective atomic spin states of $N$ effective two-level atoms driven with laser and cavity fields. We show that interesting ``entangled-state cycles'' arise probabilistically when the (Raman) transition…

量子物理 · 物理学 2011-10-28 A. Chia , A. S. Parkins

Stabilizer states are a prime resource for a number of applications in quantum information science, such as secret-sharing and measurement-based quantum computation. This motivates us to study the entanglement of noisy stabilizer states…

量子物理 · 物理学 2024-11-01 Kenneth Goodenough , Aqil Sajjad , Eneet Kaur , Saikat Guha , Don Towsley

In dense neutrino gases, which exist for instance in supernovae, the flavour states of different neutrinos may become entangled with one another. The theoretical description of such systems may therefore call for simulations on a quantum…

量子物理 · 物理学 2026-04-10 Katarina Bleau , Nikolina Ilic , Joachim Kopp , Ushak Rahaman , Xin Yue Yu

A general geometrical structure of the entanglement entropy for spatial partition of a relativistic QFT system is established by using methods of the effective gravity action and the spectral geometry. A special attention is payed to the…

高能物理 - 理论 · 物理学 2008-11-26 Dmitri V. Fursaev

We report the experimental demonstration of two quantum networking protocols, namely quantum 1->3 telecloning and open-destination teleportation, implemented using a four-qubit register whose state is encoded in a high-quality two-photon…

量子物理 · 物理学 2015-03-19 A. Chiuri , C. Greganti , M. Paternostro , G. Vallone , P. Mataloni