displaying 1000 best results Help
Search results for: BOUND ENTANGLED
-
On quantum cryptography with bipartite bound entangled states
PublicationOstatnio pokazano bezpośrednie zastosowanie splątania związanego w kryptografii kwantowej. W niniejszym artykule dokonano przeglądu niektórych najnowszych osiągnięć dotyczących tego zagadnienia. W szczególności przypomniano istotne pojęcia i definicje. Ponadto podano nową konstrukcję stanów o splątaniu związanym, posiadających bezpieczne korelacje, dostarczając w ten sposób niskowymiarowe (6x6) stany o splątaniu związanym z niezerowym...
-
W-like bound entangled states and secure key distillation
PublicationWe construct multipartite entangled states with underlying W-type structuresatisfying positive partial transpose (PPT) condition under any (N −1)|1 partition. Then we showhow to distill a N-partite secure key from the states using two different methods: direct applicationof local filtering and novel random key distillation scheme in which we adopt the idea from recentresults on entanglement distillation. Open problems and possible...
-
Rank two bibartite bound entangled states do not exist.
PublicationWykazano, że nie istnieją stany rzędu dwa które zawierałyby splątanie. Pokazano związki między lokalnym a globalnym rzędem macierzy gęstości oraz ewentualną możliwością wydestylowania kwantowego splątania.
-
Entangled Religions
Journals -
JOURNAL OF SOUND AND VIBRATION
Journals -
Completely entangled subspaces of entanglement depth k
PublicationWe introduce a class of entangled subspaces: completely entangled subspaces of entanglement depth k (k-CESs). These are subspaces of multipartite Hilbert spaces containing only pure states with an entanglement depth of at least k. We present an efficient construction of k-CESs of any achievable dimensionality in any multipartite scenario. Further, we discuss the relation between these subspaces and unextendible product bases (UPBs)....
-
Anab initiostudy of (H3B←NH3)−—a dipole-bound anion supported by the dative charge-transfer bond in the neutral host
Publication -
Universal construction of genuinely entangled subspaces of any size
PublicationWe put forward a simple construction of genuinely entangled subspaces – subspaces supporting only genuinely multipartite entangled states – of any permissible dimensionality for any number of parties and local dimensions. The method uses nonorthogonal product bases, which are built from totally nonsingular matrices with a certain structure. We give an explicit basis for the constructed subspaces. An immediate consequence of our...
-
Simple sufficient condition for subspace to be completely or genuinely entangled
PublicationWe introduce a simple sufficient criterion, which allows one to tell whether a subspace of a bipartite or multipartite Hilbert space is entangled. The main ingredient of our criterion is a bound on the minimal entanglement of a subspace in terms of entanglement of vectors spanning that subspace expressed for geometrical measures of entanglement. The criterion is applicable to both completely and genuinely entangled subspaces. We...
-
Local hidden–variable models for entangled quantum states
PublicationWhile entanglement and violation of Bell inequalities were initially thought to be equivalent quantum phenomena, we now have different examples of entangled states whose correlations can be described by local hidden-variable models and, therefore, do not violate any of the Bell inequalities. We provide an up-to-date overview of the existing literature regarding local hidden-variable models for entangled quantum states, in both...
-
From unextendible product bases to genuinely entangled subspaces
PublicationUnextendible product bases (UPBs) are interesting mathematical objects arising in composite Hilbert spaces that have found various applications in quantum information theory, for instance in a construction of bound entangled states or Bell inequalities without quantum violation. They are closely related to another important notion, completely entangled subspaces (CESs), which are those that do not contain any fully separable pure...
-
An approach to constructing genuinely entangled subspaces of maximal dimension
PublicationGenuinely entangled subspaces (GESs) are the class of completely entangled subspaces that contain only genuinely multiparty entangled states. They constitute a particularly useful notion in the theory of entanglement but also have found an application, for instance, in quantum error correction and cryptography. In a recent study (Demianowicz and Augusiak in Phys Rev A 98:012313, 2018), we have shown how GESs can be efficiently...
-
A dipole-bound dianion
Publication -
On the distillation of cryptographic key from multipartie entangled quantum states
PublicationCelem pracy było uzupełnienie ogólnego paradygmatu destylacji bezpiecznego klucza kryptograficznego z dwucząstkowych stanów splątanych, a w szczegolności znalezienie nowych konstrukcji stanów kwantowych o splątaniu związanym z niezerowym destylowanym kluczem kryptograficznym. Kolejnym celem pracy było uogólnienie powyższego paradygmatu dwucząstkowego na przypadek wielu cząstek. W szczególności sformułowanie definicji wielocząstkowych...
-
Dipole-bound and dispersion-bound anions supported by the asymmetric tautomers of aminophosphine: H3NPH and HNPH3
Publication -
Entanglement of genuinely entangled subspaces and states: Exact, approximate, and numerical results
PublicationGenuinely entangled subspaces (GESs) are those subspaces of multipartite Hilbert spaces that consist only of genuinely multiparty entangled pure states. They are natural generalizations of the well-known notion of completely entangled subspaces, which by definition are void of fully product vectors. Entangled subspaces are an important tool of quantum information theory as they directly lead to constructions of entangled states,...
-
Bi-dipole-bound anions
Publication -
12 [Chapter]. Bound entanglement
PublicationKwantowe splątanie jest jednym z podstawowych elementów kwantowej teorii informacji. Jak wiadomo niskowymiarowe (2otimes 2 i 2otimes 3) splątane stany kwantowe są zawsze destylowalne. W wyższych wymiarach jednak istnieją stany, które mimo, że są splątane nie pozwalają na destylację. Ten rodzaj splątania, nazywany związanym, jest często trudny do wykrycia i pozornie bezużyteczny. Jak pokazują jednak liczne badania splątanie związane...
-
Arithmetic Loophole in Bell's Theorem: Overlooked Threat to Entangled-State Quantum Cryptography
PublicationBell’s theorem is supposed to exclude all local hidden-variable models of quantum correlations. However,an explicit counterexample shows that a new class of local realistic models, based on generalized arith-metic and calculus, can exactly reconstruct rotationally symmetric quantum probabilities typical oftwo-electron singlet states. Observable probabilities are consistent with the usual arithmetic employedby macroscopic observers...
-
Entangled rendezvous: a possible application of Bell non-locality for mobile agents on networks
PublicationRendezvous is an old problem of assuring that two or more parties, initially separated, not knowing the position of each other, and not allowed to communicate, are striving to meet without pre-agreement on the meeting point. This problem has been extensively studied in classical computer science and has vivid importance to modern and future applications. Quantum non-locality, like Bell inequality violation, has shown that in many...
-
The correlation-bound anion of p-chloroaniline
Publication -
Lower bound on the domination number of a tree.
PublicationW pracy przedstawiono dolne ograniczenie na liczbę dominowania w drzewach oraz przedstawiono pełną charakterystykę grafów ekstremalnych.
-
Secure key from bound entanglement
PublicationScharakteryzowaliśmy zestaw dzielonych kwantowych stanów, który zawiera kryptograficznie prywatny klucz. Pozwala nam to przerobić teorię prywatności jako paradygmat blisko związany z tą, która jest używana w manipulacjach splątania.
-
Dipole-bound anions supported by charge-transfer interaction: valence- and dipole-bound anionic states of H3N→BF3
Publication -
Negative result about the construction of genuinely entangled subspaces from unextendible product bases
PublicationUnextendible product bases (UPBs) provide a versatile tool with various applications across different areas of quantum information theory. Their comprehensive characterization is thus of great importance and has been a subject of vital interest for over two decades now. An open question asks about the existence of UPBs, which are genuinely unextendible, i.e., they are not extendible even with biproduct vectors. In other words,...
-
Organised Sound
Journals -
SIGHT AND SOUND
Journals -
Round Table
Journals -
Wound Medicine
Journals -
Sound Studies
Journals -
SOUND AND VIBRATION
Journals -
Theoretical study of the dipole-bound anion (HPPH3)−
Publication -
Is 9-acridinamine anion a dispersion-bound anion?
Publication -
Lower bound on the paired domination number of a tree
PublicationW pracy przedstawione jest ograniczenie dolne dla liczby dominowania parami oraz scharakteryzowane są wszystkie drzewa ekstremalne.
-
Rotationally invariant bipartite states and bound entanglement
PublicationW pracy rozważano stany kwantowe niezmiennicze na działanie grupy SO(3). Pokazano, że w przypadku, gdy pierwszy podukład ma parzysty wymiar większy lub równy cztery oraz drugi podukład ma wymiar dowolny, większy niż pierwszy to pośród takich stanów zawsze istnieje splątanie związane.
-
Quantum metrology: Heisenberg limit with bound entanglement
PublicationQuantum entanglement may provide a huge boost in the precision of parameter estimation. However, quantum metrology seems to be extremely sensitive to noise in the probe state. There is an important still open question: What type of entanglement is useful as a resource in quantum metrology? Here we raise this question in relation to entanglement distillation. We provide a counterintuitive example of a family of bound entangled states...
-
Multipartite secret key distillation and bound entanglement
PublicationRecently it has been shown that quantum cryptography beyond pure entanglement distillation is possible and a paradigm for the associated protocols has been established. Here we systematically generalize the whole paradigm to the multipartite scenario. We provide constructions of new classes of multipartite bound entangled states, i.e., those with underlying twisted Greenberger-Horne-Zeilinger (GHZ) structure and nonzero distillable...
-
Bound entanglement for continuous variables is a rare phenomenon
PublicationWykazano, że splątanie związane w przypadku zmiennych ciągłych jest rzadkimfenomenem. W szczególności pokazano, że zbiór stanów niedestylowalnych jestnigdzie gęsty w zbiorze wszystkich stanów kwantowych. Poddano dyskusji splą-tanie związane w kontekście liczby Schmidta.
-
Distinguishing views in symmetric networks: A tight lower bound
PublicationThe view of a node in a port-labeled network is an infinite tree encoding all walks in the network originating from this node. We prove that for any integers n ≥ D ≥ 1, there exists a port-labeled network with at most n nodes and diameter at most D which contains a pair of nodes whose (infinite) views are different, but whose views truncated to depth Omega( D log(n/ D )) are identical.
-
Fate of Dipole-Bound Anion States when Hydrated
Publication -
Is the p-chloroaniline anion bound almost entirely by correlation?
Publication -
A few steps more towards NPT bound entanglement
PublicationIn this paper, existence of bound entangled states with nonpositive partial transpose (NPT) is considered. As one knows, existence of such states would in particular imply nonadditivity of distillable entanglement. Moreover, it would rule out a simple mathematical description of the set of distillable states. The particular state, known to be 1-copy nondistillable and supposed to be bound entangled, is considered. The problem of...
-
Lower bound on the weakly connected domination number of a tree
PublicationPraca dotyczy dolnego ograniczenia liczby dominowania słabo spójnego w drzewach (ograniczenie ze względu na ilość wierzchołków i ilość wierzchołków końcowych w drzewie).
-
On the lower smoothing bound in identification of time-varying systems
PublicationIn certain applications of nonstationary system identification the model-based decisions can be postponed, i.e. executed with a delay. This allows one to incorporate in the identification process not only the currently available information, but also a number of ''future'' data points. The resulting estimation schemes, which involve smoothing, are not causal. Assuming that the infinite observation history is available, the paper...
-
Molecular dynamics of fentanyl bound to μ-opioid receptor
Publication -
On trees attaining an upper bound on the total domination number
PublicationA total dominating set of a graph G is a set D of vertices of G such that every vertex of G has a neighbor in D. The total domination number of a graph G, denoted by γ_t(G), is the minimum cardinality of a total dominating set of G. Chellali and Haynes [Total and paired-domination numbers of a tree, AKCE International Journal of Graphs and Combinatorics 1 (2004), 69-75] established the following upper bound on the total domination...
-
Lower bound on the distance k-domination number of a tree
PublicationW artykule przedstawiono dolne ograniczenie na liczbę k-dominowania w drzewach oraz scharakteryzowano wszystkie grafy ekstremalne.
-
Entangled Histories vs. the Two-State-Vector Formalism - Towards a Better Understanding of Quantum Temporal Correlations
PublicationThe Two-State-Vector formalism and the Entangled Histories formalism are attempts to betterunderstand quantum correlations in time. Both formalisms share some similarities, but they are notidentical, having subtle differences in their interpretation and manipulation of quantum temporalstructures. However, the main objective of this paper is to prove that, with appropriately definedscalar products, both formalisms can be...
-
Constructing genuinely entangled multipartite states with applications to local hidden variables and local hidden states models
PublicationBuilding upon the results of R. Augusiak et al. [Phys. Rev. Lett. 115, 030404 (2015)] we develop a general approach to the generation of genuinely entangled multipartite states of any number of parties from genuinely entangled states of a fixed number of parties, in particular, the bipartite entangled ones. In our approach, certain isometries whose output subspaces are either symmetric or genuinely entangled in some multipartite...
-
Sacral sound-engineering
PublicationOrganologic and campanologic acoustical problems due to applications to sacral objects are characterized on ground of numerous reviewed publications and engineering reports. Participations of several involved research centres, mostly Polish, at solving these problems are evaluated. Some desirable future developments are indicated. Appendices bring examples of documentation on selected investigated objects.