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The degree of entanglement in an open quantum system varies according to how information in the environment is read. A measure of this contextual entanglement is introduced based on quantum trajectory unravelings of the open system…

量子物理 · 物理学 2009-11-10 Hyunchul Nha , H. J. Carmichael

We study the localization properties, energy spectra and coin-position entanglement of the aperiodic discrete-time quantum walks. The aperiodicity is described by spatially dependent quantum coins distributed on the lattice, whose…

量子物理 · 物理学 2019-09-11 A. R. C. Buarque , W. S. Dias

Determining relationships between different types of quantum correlations in open composite quantum systems is important since it enables the exploitation of a type by knowing the amount of another type. We here review, by giving a formal…

量子物理 · 物理学 2016-01-18 Rosario Lo Franco

The degrees of freedom of any interacting quantum field theory are entangled in momentum space. Thus, in the vacuum state, the infrared degrees of freedom are described by a density matrix with an entanglement entropy. We derive a relation…

高能物理 - 理论 · 物理学 2013-05-30 Vijay Balasubramanian , Michael B. McDermott , Mark Van Raamsdonk

A new axiomatic characterization with a minimum of conditions for entropy as a function on the set of states in quantum mechanics is presented. Traditionally unspoken assumptions are unveiled and replaced by proven consequences of the…

数学物理 · 物理学 2014-07-02 Bernhard Baumgartner

Evolution of charged quantum fields under the action of constant nonuniform electric fields is studied. To this end we construct a special generating functional for density operators of the quantum fields with different initial conditions.…

高能物理 - 理论 · 物理学 2019-06-25 S. P. Gavrilov , D. M. Gitman , A. A. Shishmarev

The correspondence principle plays a fundamental role in quantum mechanics, which naturally leads us to inquire whether it is possible to find or determine close classical analogs of quantum states in phase space -- a common meeting point…

量子物理 · 物理学 2022-01-28 A. S. Sanz

Quantum entanglement is a concept commonly used with reference to the existence of certain correlations in quantum systems that have no classical interpretation. It is a useful resource to enhance the mutual information of memory channels…

量子物理 · 物理学 2009-11-13 Tina A. C. Maiolo , Fabio Della Sala , Luigi Martina , Giulio Soliani

The entanglement entropy of a pure quantum state of a bipartite system $A \cup B$ is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. Critical ground states of local…

强关联电子 · 物理学 2008-11-26 Eduardo Fradkin , Joel E. Moore

Quantum Field Theory (QFT) represents a vast generalization of Quantum Mechanics (QM), as it deals with systems that have an infinite number of degrees of freedom. The Stone-von Neumann theorem, which establishes the equivalence of…

数学物理 · 物理学 2023-07-13 Ahmed Halawani

We consider a set of fully connected spins models that display first- or second-order transitions and for which we compute the ground-state entanglement in the thermodynamical limit. We analyze several entanglement measures (concurrence,…

统计力学 · 物理学 2011-03-01 M. Filippone , S. Dusuel , J. Vidal

We present a discrete-time, one-dimensional quantum walk based on the entanglement between the momentum of ultracold rubidium atoms (the walk space) and two internal atomic states (the "coin" degree of freedom). Our scheme is highly…

量子物理 · 物理学 2018-09-26 Siamak Dadras , Alexander Gresch , Caspar Groiseau , Sandro Wimberger , Gil S. Summy

We observe that changing a phase at a single point in a discrete quantum walk results in a rather surprising localization effect. For certain values of this phase change the possibility of localization strongly depends on the internal…

A thermodynamic theory is developed to describe the behavior of the entanglement between the coin and position degrees of freedom of the quantum walk on the line. This theory shows that, in spite of the unitary evolution, a steady state is…

量子物理 · 物理学 2011-08-31 Alejandro Romanelli

Quantum entanglement is a key resource for quantum technologies, including emerging ground-to-satellite quantum communication. In such a scenario, an important challenge to be overcome is to consider entanglement between two or more quantum…

量子物理 · 物理学 2024-10-10 Yannick Noel Freitag , Julien Pinske , Jan Sperling

The quantum random walk has been much studied recently, largely due to its highly nonclassical behavior. In this paper, we study one possible route to classical behavior for the discrete quantum walk on the line: the presence of decoherence…

量子物理 · 物理学 2009-11-07 Todd A. Brun , Hilary A. Carteret , Andris Ambainis

Entanglement is a key resource in many quantum information applications and achieving high values independently of the initial conditions is an important task. Here we address the problem of generating highly entangled states in a discrete…

量子物理 · 物理学 2020-11-25 Aikaterini Gratsea , Friederike Metz , Thomas Busch

As a hallmark of pure quantum effect, quantum entanglement has provided unconventional routes to condensed matter systems. Here, from the perspective of quantum entanglement, we disclose exotic quantum physics in non-Hermitian…

介观与纳米尺度物理 · 物理学 2022-03-30 Li-Mei Chen , Yao Zhou , Shuai A. Chen , Peng Ye

Quantum versions of random walks on the line and cycle show a quadratic improvement in their spreading rate and mixing times respectively. The addition of decoherence to the quantum walk produces a more uniform distribution on the line, and…

量子物理 · 物理学 2007-07-26 Olivier Maloyer , Viv Kendon

The entangling power and operator entanglement entropy are state independent measures of entanglement. Their growth and saturation is examined in the time-evolution operator of quantum many-body systems that can range from the integrable to…

量子物理 · 物理学 2018-11-28 Rajarshi Pal , Arul Lakshminarayan