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相关论文: All Pure Two-Qudit Entangled States Can be Generat…

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Entangled states, such as the Bell and GHZ states, are generated from separable states using matrices known to satisfy the Yang-Baxter equation and its generalization. This remarkable fact hints at the possibility of using braiding…

量子物理 · 物理学 2020-03-03 Pramod Padmanabhan , Fumihiko Sugino , Diego Trancanelli

We present a method to construct infinite families of entangling $2$-qudit gates, and amongst them entangling $2$-qudit gates which satisfy the Yang-Baxter equation. We show that, given $2$-qudit gates $c$ and $d$, if $c$ or $d$ is…

群论 · 数学 2024-11-20 Fabienne Chouraqui

We present a way to create entangled states of two superconducting transmon qutrits based on circuit QED. Here, a qutrit refers to a three-level quantum system. Since only resonant interaction is employed, the entanglement creation can be…

量子物理 · 物理学 2018-06-13 Xi-Mei Ye , Zhen-Fei Zheng , Dao-Ming Lu , Chui-Ping Yang

We present a method to construct "X" form unitary Yang-Baxter $\breve{R}$ matrices, which act on the tensor product space $V_{i}^{j_{1}}\otimes V_{i+1}^{j_{2}}$. We can obtain a set of entangled states for $(2j_{1}+1)\times…

数学物理 · 物理学 2015-03-17 Gangcheng Wang , Kang Xue , Chunfang Sun , Guijiao Du

We investigate whether pure entangled states can be associated to a measurement basis in which all vectors are local unitary transformations of the original state. We prove that for bipartite states with a local dimension that is either $2,…

量子物理 · 物理学 2023-08-28 Florian Pimpel , Martin J. Renner , Armin Tavakoli

Based on the method which is given in Ref. [Sun et.al. arXiv:0904.0092v1], we present another $9\times 9$ unitary $\breve{R}-$matrix, solution of the Yang-Baxter Equation, is obtained in this paper. The entanglement properties of…

量子物理 · 物理学 2009-11-13 Gangcheng Wang , Chunfang Sun , Qingyong Wang , Kang Xue

We propose a scheme to produce the pure entangled states through type II downconversion. In the scheme, the vacuum states are excluded and the a prori pure entangled states are produced and verified without destroying the state itself. This…

量子物理 · 物理学 2007-05-23 Wang Xiang-Bin

We report an experiment to generate maximally entangled states of D-dimensional quantum systems, qudits, by using transverse spatial correlations of two parametric down-converted photons. Apertures with D-slits in the arms of the twin…

量子物理 · 物理学 2009-11-10 Leonardo Neves , G. Lima , J. G. Aguirre Gómez , C. H. Monken , C. Saavedra , S. Pádua

A M-matrix which satisfies the Hecke algebraic relations is presented. Via the Yang-Baxterization approach, we obtain a unitary solution $\breve{R}(\theta,\varphi_{1},\varphi_{2})$ of Yang-Baxter Equation. It is shown that any pure…

量子物理 · 物理学 2010-01-27 Chunfang Sun , Gangcheng Wang , Kang Xue

The ability to reach a maximally entangled state from a separable one through the use of a two-qubit unitary operator is analyzed for mixed states. This extension from the known case of pure states shows that there are at least two families…

量子物理 · 物理学 2018-04-06 Zhe Guan , Huan He , Yong-Jian Han , Chuan-Feng Li , Fernando Galve , Guang-Can Guo

We show that it is possible to achieve maximally entangled mixed states of two qubits from the singlet state via the action of local non-trace-preserving quantum channels. Moreover, we present a simple, feasible linear optical…

量子物理 · 物理学 2007-05-23 A. Aiello , G. Puentes , D. Voigt , J. P. Woerdman

In this letter we present a scheme for generating maximally entangled states of two cavity modes which enables us to generate complete set of Bell basis states having rather simple initial state preparation. Furthermore, we study the…

量子物理 · 物理学 2008-05-03 F. Saif , M. Abdel-Aty , M. Javed , R. Ul-Islam , A. -S. F. Obada

We show that in the presence of arbitrary catalysts, any pure bipartite entangled state can be converted into any other to unlimited accuracy without the use of any communication, quantum or classical.

量子物理 · 物理学 2007-05-23 Wim van Dam , Patrick Hayden

The entanglement of a pure state of a pair of quantum systems is defined as the entropy of either member of the pair. The entanglement of formation of a mixed state is defined as the minimum average entanglement of an ensemble of pure…

量子物理 · 物理学 2009-01-23 William K. Wootters

A pure quantum state of N subsystems with d levels each is called k-multipartite maximally entangled state, written k-uniform, if all its reductions to k qudits are maximally mixed. These states form a natural generalization of N-qudits GHZ…

量子物理 · 物理学 2015-06-25 Dardo Goyeneche , Karol Zyczkowski

Geometric properties of the set of quantum entangled states are investigated. We propose an explicit method to compute the dimension of local orbits for any mixed state of the general K x M problem and characterize the set of effectively…

量子物理 · 物理学 2009-11-06 Marek Kus , Karol Zyczkowski

A pure quantum state is called $k$-uniform if all its reductions to $k$-qudit are maximally mixed. We investigate the general constructions of $k$-uniform pure quantum states of $n$ subsystems with $d$ levels. We provide one construction…

信息论 · 计算机科学 2015-11-26 Keqin Feng , Lingfei Jin , Chaoping Xing , Chen Yuan

It is known that some two qutrit entangled states of rank 4 with positive partial transpose [PPT] can be built from the unextendible product bases [UPB]. We show that this fact is indeed universal, namely all such states can be constructed…

量子物理 · 物理学 2015-03-19 Lin Chen , Dragomir Z. Djokovic

It is well-known that any two pure quantum states (in the same Hilbert space) can be mapped to any other using unitary transformations. However, previous approaches to this problem required two explicit bases for the Hilbert space, one each…

量子物理 · 物理学 2026-04-20 Peter T. J. Bradshaw , Marcus Gouveia , Jonte R. Hance

Many-body entangled quantum states studied in condensed matter physics can be primary resources for quantum information, allowing any quantum computation to be realized using measurements alone, on the state. Such a universal state would be…

量子物理 · 物理学 2013-05-29 Xie Chen , Bei Zeng , Zhengcheng Gu , Beni Yoshida , Isaac L. Chuang
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