oalib

Publish in OALib Journal

ISSN: 2333-9721

APC: Only $99

Submit

Any time

2020 ( 7 )

2019 ( 49 )

2018 ( 77 )

2017 ( 73 )

Custom range...

Search Results: 1 - 10 of 24533 matches for " Jeong San Kim "
All listed articles are free for downloading (OA Articles)
Page 1 /24533
Display every page Item
Tsallis entropy and entanglement constraints in multi-qubit systems
Jeong San Kim
Physics , 2009, DOI: 10.1103/PhysRevA.81.062328
Abstract: We show that the restricted sharability and distribution of multi-qubit entanglement can be characterized by Tsallis-$q$ entropy. We first provide a class of bipartite entanglement measures named Tsallis-$q$ entanglement, and provide its analytic formula in two-qubit systems for $1 \leq q \leq 4$. For $2 \leq q \leq 3$, we show a monogamy inequality of multi-qubit entanglement in terms of Tsallis-$q$ entanglement, and we also provide a polygamy inequality using Tsallis-$q$ entropy for $1 \leq q \leq 2$ and $3 \leq q \leq 4$.
Polygamy of Entanglement in Multipartite Quantum Systems
Jeong San Kim
Physics , 2009, DOI: 10.1103/PhysRevA.80.022302
Abstract: We show that bipartite entanglement distribution (or entanglement of assistance) in multipartite quantum systems is by nature polygamous. We first provide an analytic upper bound for the concurrence of assistance in bipartite quantum systems, and derive a polygamy inequality of multipartite entanglement in arbitrary dimensional quantum systems.
Quantum Correlations over Long-distances Using Noisy Quantum Repeaters
Joonwoo Bae,Jeong San Kim
Physics , 2008,
Abstract: Quantum correlations as the resource for quantum communication can be distributed over long distances by quantum repeaters. In this Letter, we introduce the notion of a noisy quantum repeater, and examine its role in quantum communication. Quantum correlations shared through noisy quantum repeaters are then characterized and their secrecy properties are studied. Remarkably, noisy quantum repeaters naturally introduce private states in the key distillation scenario, and consequently key distillation protocols are demonstrated to be more tolerant.
Bound on distributed entanglement
Jeong San Kim,Soojoon Lee
Mathematics , 2010, DOI: 10.1088/1751-8113/43/38/385305
Abstract: Using the convex-roof extended negativity and the negativity of assistance as quantifications of bipartite entanglement, we consider the possible remotely-distributed entanglement. For two pure states $\ket{\phi}_{AB}$ and $\ket{\psi}_{CD}$ on bipartite systems $AB$ and $CD$, we first show that the possible amount of entanglement remotely distributed on the system $AC$ by joint measurement on the system $BD$ is not less than the product of two amounts of entanglement for the states $\ket{\phi}_{AB}$ and $\ket{\psi}_{CD}$ in two-qubit and two-qutrit systems. We also provide some sufficient conditions, for which the result can be generalized into higher-dimensional quantum systems.
Monogamy and polygamy for multi-qubit entanglement using Rényi entropy
Jeong San Kim,Barry C. Sanders
Physics , 2009, DOI: 10.1088/1751-8113/43/44/445305
Abstract: Using R\'enyi-$\alpha$ entropy to quantify bipartite entanglement, we prove monogamy of entanglement in multi-qubit systems for $\alpha \geq 2$. We also conjecture a polygamy inequality of multi-qubit entanglement with strong numerical evidence for $0.83-\epsilon \leq \alpha \leq 1.43+\epsilon$ with $0<\epsilon<0.01$.
On the geometric distance between quantum states with positive partial transposition and private states
Jeong San Kim,Barry C. Sanders
Physics , 2009, DOI: 10.1007/s11005-010-0376-6
Abstract: We prove an analytic positive lower bound for the geometric distance between entangled positive partial transpose (PPT) states of a broad class and any private state that delivers one secure key bit. Our proof holds for any Hilbert space of finite dimension. Although our result is proven for a specific class of PPT states, we show that our bound nonetheless holds for all known entangled PPT states with non-zero distillable key rates whether or not they are in our special class.
Polygamy of Distributed Entanglement
Francesco Buscemi,Gilad Gour,Jeong San Kim
Physics , 2009, DOI: 10.1103/PhysRevA.80.012324
Abstract: While quantum entanglement is known to be monogamous (i.e. shared entanglement is restricted in multi-partite settings), here we show that distributed entanglement (or the potential for entanglement) is by nature polygamous. By establishing the concept of one-way unlocalizable entanglement (UE) and investigating its properties, we provide a polygamy inequality of distributed entanglement in tripartite quantum systems of arbitrary dimension. We also provide a polygamy inequality in multi-qubit systems, and several trade offs between UE and other correlation measures.
Generalized W-Class State and its Monogamy Relation
Jeong San Kim,Barry C. Sanders
Mathematics , 2008, DOI: 10.1088/1751-8113/41/49/495301
Abstract: We generalize the W class of states from $n$ qubits to $n$ qudits and prove that their entanglement is fully characterized by their partial entanglements even for the case of the mixture that consists of a W-class state and a product state $\ket{0}^{\otimes n}$.
Quantum computational algorithm for hidden symmetry subgroup problems on semi-direct product of cyclic groups
Jeong San Kim,Eunok Bae,Soojoon Lee
Mathematics , 2013,
Abstract: We characterize the algebraic structure of semi-direct product of cyclic groups, $\Z_{N}\rtimes\Z_{p}$, where $p$ is an odd prime number which does not divide $q-1$ for any prime factor $q$ of $N$, and provide a polynomial-time quantum computational algorithm solving hidden symmetry subgroup problem of the groups.
Unified entropy, entanglement measures and monogamy of multi-party entanglement
Jeong San Kim,Barry C. Sanders
Mathematics , 2011, DOI: 10.1088/1751-8113/44/29/295303
Abstract: We show that restricted shareability of multi-qubit entanglement can be fully characterized by unified-$(q,s)$ entropy. We provide a two-parameter class of bipartite entanglement measures, namely unified-$(q,s)$ entanglement with its analytic formula in two-qubit systems for $q\geq 1$, $0\leq s \leq1$ and $qs\leq3$. Using unified-$(q,s)$ entanglement, we establish a broad class of the monogamy inequalities of multi-qubit entanglement for $q\geq2$, $0\leq s \leq1$ and $qs\leq3$.
Page 1 /24533
Display every page Item


Home
Copyright © 2008-2017 Open Access Library. All rights reserved.