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Squeezed states are one of the most useful quantum optical models having various applications in different areas, especially in quantum information processing. Generalized squeezed states are even more interesting since, sometimes, they…

Quantum Physics · Physics 2018-10-29 Kevin Zelaya , Sanjib Dey , Véronique Hussin

The maximum amount of entanglement achievable under passive transformations by continuous-variable states is called the entanglement potential. Recent work has demonstrated that the entanglement potential is upper-bounded by a simple…

Quantum Physics · Physics 2023-07-24 Bohan Li , Aritra Das , Spyros Tserkis , Prineha Narang , Ping Koy Lam , Syed M. Assad

Tensor networks (TNs) have become one of the most essential building blocks for various fields of theoretical physics such as condensed matter theory, statistical mechanics, quantum information, and quantum gravity. This review provides a…

Statistical Mechanics · Physics 2022-05-10 Kouichi Okunishi , Tomotoshi Nishino , Hiroshi Ueda

We consider the problem of how to manipulate the entanglement properties of a general two-particle pure state, shared between Alice and Bob, by using only local operations at each end and classical communication between Alice and Bob. A…

Quantum Physics · Physics 2009-10-31 Lucien Hardy

The tensor rank (also known as generalized Schmidt rank) of multipartite pure states plays an important role in the study of entanglement classifications and transformations. We employ powerful tools from the theory of homogeneous…

Quantum Physics · Physics 2011-03-21 Lin Chen , Eric Chitambar , Runyao Duan , Zhengfeng Ji , Andreas Winter

Some progress is reported on conditions for convertibility among bipartite 2x2 entangled states: An inconvertibility condition related to the rank of an entangled state is given that it is impossible to convert to an entangled state with…

Quantum Physics · Physics 2024-02-14 Yiruo Lin

Majorization uncertainty relations are generalized for an arbitrary mixed quantum state $\rho$ of a finite size $N$. In particular, a lower bound for the sum of two entropies characterizing probability distributions corresponding to…

Quantum Physics · Physics 2018-04-17 Zbigniew Puchała , Łukasz Rudnicki , Aleksandra Krawiec , Karol Życzkowski

In this paper, we study some quantum properties of a superposition of displaced squeezed two-mode vacuum and single-photon states, such as the second-order correlation function, the Cauchy-Schwartz inequality, quadrature squeezing,…

Quantum Physics · Physics 2009-11-13 Faisal A. A. El-Orany , A-S. F. Obada , Zafer M. Asker , J. Perina

Two-mode squeezed states, which are entangled states with bipartite quantum correlations in continuous-variable systems, are crucial in quantum information processing and metrology. Recently, continuous-variable quantum computing with the…

Quantum Physics · Physics 2023-11-10 Wui Seng Leong , Mingjie Xin , Zilong Chen , Yu Wang , Shau-Yu Lan

We examine the violation of the majorization relations between the eigenvalues of the full and reduced density operators of entangled states of composite systems and its detection using generalized entropic forms based on arbitrary concave…

Quantum Physics · Physics 2015-05-20 R. Rossignoli , N. Canosa

The widespread availability of quantum entanglement with photons, in the guise of two-mode squeezed states, can be attributed to the phenomenon of parametric down-conversion. A reinterpretation of this effect with macroscopic mechanical…

Mesoscale and Nanoscale Physics · Physics 2014-10-21 I. Mahboob , H. Okamoto , K. Onomitsu , H. Yamaguchi

We study the density fluctuations for Coherent Squeezed Number State (CSNS) and Squeezed Number States (SNS) formalism in Semiclassical theory of grav ity in flat FRW universe. We used Number state evolution of oscillatory phase of inflaton…

General Relativity and Quantum Cosmology · Physics 2024-02-02 Dhwani Gangal , Sudhava Yadav , K. K. Venkataratnam

The Schmidt number is of crucial importance in characterizing the bipartite pure states. We explore and propose here a generalization of Schmidt number for states in multipartite systems. It is shown to be entanglement monotonic and valid…

Quantum Physics · Physics 2015-05-12 Yu Guo , Heng Fan

We present in the work two intriguing results in the entanglement classification of pure and true tripartite entangled state of $2\times M\times N$ under stochastic local operation and classical communication. (i) the internal symmetric…

Quantum Physics · Physics 2011-07-21 Xikun Li , Junli Li , Bin Liu , Cong-Feng Qiao

We present a full definition of mixed maximally entangled (MME) states for multipartite systems, generalizing their existing definition for bipartite systems by using multipartite Schmidt decomposition. MME states are a special kind of…

Quantum Physics · Physics 2022-04-01 Samuel R. Hedemann

Typicality arguments replace the postulated mixed state ensembles of statistical mechanics with pure states sampled uniformly at random, explaining why most microstates of large systems exhibit thermal behavior. This paradigm has been…

Quantum Physics · Physics 2025-05-01 Pedro S. Correia , Gabriel Dias Carvalho , Thiago R. de Oliveira

We study the coherent state and two-mode squeezed state in the q-deformed Pegg-Barnett(PB) formalism. We show that when the truncation of the Fock space S is large enough, the phase properties of the q-deformed PB coherent state approach…

Mathematical Physics · Physics 2012-12-11 Yidan Wang , Leong Chuan Kwek

We study entanglement and other correlation properties of random states in high-dimensional bipartite systems. These correlations are quantified by parameters that are subject to the "concentration of measure" phenomenon, meaning that on a…

Quantum Physics · Physics 2007-05-23 Patrick Hayden , Debbie W. Leung , Andreas Winter

Entanglement is among the most fundamental-and at the same time puzzling-properties of quantum physics. Its modern description relies on a resource-theoretical approach, which treats entangled systems as a means to enable or accelerate…

Quantum Physics · Physics 2024-05-24 Serge Deside , Matthieu Arnhem , Célia Griffet , Nicolas J. Cerf

We propose a scheme for quantum cryptography that uses the squeezing phase of a two-mode squeezed state to transmit information securely between two parties. The basic principle behind this scheme is the fact that each mode of the squeezed…

Quantum Physics · Physics 2012-08-27 Alberto M. Marino , C. R. Stroud,