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In this paper we use the \textit{concurrence vector}, as a measure of entanglement, and investigate lower and upper bounds on the concurrence of a superposition of bipartite states as a function of the concurrence of the superposed states.…

量子物理 · 物理学 2016-04-19 Seyed Javad Akhtarshenas

The negativity of the Wigner function is discussed as a measure of the non classicality and the quantum interference pattern obtained therein as a possible measure of the entanglement between the two modes of the vortex states. This measure…

量子物理 · 物理学 2014-06-05 Anindya Banerji , Ravindra P. Singh , Abir Bandyopadhyay

The notion of entanglement of quantum states is usually defined with respect to a fixed bipartition. Indeed, a global basis change can always map an entangled state to a separable one. The situation is however different when considering a…

量子物理 · 物理学 2021-06-02 Yu Cai , Baichu Yu , Pooja Jayachandran , Nicolas Brunner , Valerio Scarani , Jean-Daniel Bancal

We look for local unitary operators $W_1 \otimes W_2$ which would rotate all equally entangled two-qubit pure states by the same but arbitrary amount. It is shown that all two-qubit maximally entangled states can be rotated through the same…

量子物理 · 物理学 2008-11-04 Samir Kunkri , Swarup Poria , Preeti Parashar , Sibasish Ghosh

We propose a method to deterministically entangle qubits or ensembles of qubits interacting with a shared bosonic mode in the ultrastrong coupling regime. We show that the resulting gate is a product of two unitaries: one unitary acts only…

量子物理 · 物理学 2025-09-03 Ebubechukwu O. Ilo-Okeke , Tongzhou Wang , Valentin Ivannikov , Tim Byrnes

Wootters [PRL 80, 2245 (1998)] has derived a closed formula for the entanglement of formation (EOF) of an arbitrary mixed state in a system of two qubits. There is no known closed form expression for the EOF of an arbitrary mixed state in…

量子物理 · 物理学 2009-11-10 Edward Gerjuoy

Given two arbitrary pure states $ |\phi>$ and $ |\psi>$ of qubits or higher level states, we provide arguments in favor of states of the form $ \frac{1}{\sqrt{2}}(|\psi> |\phi> + i |\phi> |\psi>) $ instead of symmetric or anti-symmetric…

量子物理 · 物理学 2009-11-07 M. Asoudeh , V. Karimipour , L. Memarzadeh , A. T. Rezakhani

The quantum concurrence of $SU(2) \otimes SU(2)$ spin-parity states is shown to be invariant under $SO(1,3)$ Lorentz boosts and $O(3)$ rotations when the density matrices are constructed in consonance with the covariant probabilistic…

量子物理 · 物理学 2020-07-14 Alex E. Bernardini , Victor A. S. V. Bittencourt , Massimo Blasone

We propose a entanglement generating set for a general multipartite state based on the of concurrence. In particular, we show that concurrence for general multipartite states can be constructed by different classes of local operators which…

量子物理 · 物理学 2007-08-22 Hoshang Heydari

We study and compare the time evolutions of concurrence and quantum discord in a driven system of two interacting qubits prepared in a generic Werner state. The~corresponding quantum dynamics is exactly treated and manifests the appearance…

量子物理 · 物理学 2020-10-09 Iulia Ghiu , Roberto Grimaudo , Tatiana Mihaescu , Aurelian Isar , Antonino Messina

Quantum superposition is often phrased as the ability to add state vectors. In practice, however, the physical quantity is a ray (a rank-one projector), so each input specifies only a projector and leaves a gauge freedom in the phases of…

量子物理 · 物理学 2026-01-22 Jeongho Bang , Kyoungho Cho , Ki Hyuk Yee

Any unitary transformation of quantum computational networks is explicitly decomposed, in an exact and unified form, into a sequence of a limited number of one-qubit quantum gates and the two-qubit diagonal gates that have diagonal unitary…

量子物理 · 物理学 2007-05-23 Xijia Miao

A general scheme to perform universal quantum computation within decoherence-free subspaces (DFSs) of a system's Hilbert space is presented. This scheme leads to the first fault-tolerant realization of universal quantum computation on DFSs…

量子物理 · 物理学 2016-09-08 Dave Bacon , Julia Kempe , Daniel A. Lidar , K. B. Whaley

The paper presents an interesting mathematical feedback between the formalism of coherent states and the field of integrals and integral representations involving special functions. This materializes through an easy and fast method to…

量子物理 · 物理学 2024-08-21 Dušan Popov

The construction of two-qubit gates appropriate for universal quantum computation is of enormous importance to quantum information processing. Building such gates is dependent on accurate knowledge of the interaction dynamics between two…

量子物理 · 物理学 2009-11-11 Simon J. Devitt , Jared H. Cole , Lloyd C. L. Hollenberg

We derive curvature counterterms in two-dimensional gravity coupled to conformal matter up to infinite order. By construction the higher-order action is equivalent to a finite first-order theory with auxiliary scalar. Due to this…

高能物理 - 理论 · 物理学 2009-10-22 Thomas T. Burwick

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

量子物理 · 物理学 2007-05-23 Shanthanu Bhardwaj , V. Ravishankar

Implementing a qubit quantum computer in continuous-variable systems conventionally requires the engineering of specific interactions according to the encoding basis states. In this work, we present a unified formalism to conduct universal…

量子物理 · 物理学 2016-09-06 Hoi-Kwan Lau , Martin B. Plenio

We show that only those composite quantum systems possessing nonvanishing quantum correlations have the property that any nontrivial local unitary evolution changes their global state. We derive the exact relation between the global state…

量子物理 · 物理学 2013-01-17 S. M. Giampaolo , A. Streltsov , W. Roga , D. Bruß , F. Illuminati

The universal transpose of quantum states is an anti-unitary transformation that is not allowed in quantum theory. In this work, we investigate approximating the universal transpose of quantum states of two-level systems (qubits) using the…

量子物理 · 物理学 2015-05-19 Hyang-Tag Lim , Young-Sik Ra , Yong-Su Kim , Joonwoo Bae , Yoon-Ho Kim