Local operations assisted by classical communication (LOCC) constitute the free in entanglement theory. Hence, determination of LOCC transformations is crucial for understanding entanglement. We characterize here almost all among pure multipartite multilevel states. Combined with analogous results qubit states shown Gour \emph{et al.} [J. Math. Phys. 58, 092204 (2017)], this gives a characterization local show that nontrivial generic, fully entangled, are never possible. Thus, isolated. They...

We introduce two operational entanglement measures that are applicable for arbitrary multipartite (pure or mixed) states. One of them characterizes the potentiality a state to generate other states via local operations assisted by classical communication and simplicity generating at hand. show how these can be generalized classes measures. Moreover, we compute new pure few-partite systems use characterize contained in three-qubit state. identify Greenberger-Horne-Zeilinger $W$ as most...

We consider generic pure n-qubit states and a general class of arbitrary dimensions arbitrarily many subsystems. characterize those which can be reached from some other state via local operations assisted by finitely rounds classical communication (LOCC_{N}). For n qubits with n>3, we show that this set is measure zero, implies the maximally entangled generically full if restricted to practical scenario LOCC_{N}. Moreover, identify for any LOCC_{N} protocol realized concatenation...

We studied pure state transformations using local operations assisted by finitely many rounds of classical communication ($LOCC_{\mathbb{N}}$) in C. Spee, J.I. de Vicente, D. Sauerwein, B. Kraus, arXiv:1606.04418 (2016). Here, we first all present the details some proofs and generalize construction examples via $LOCC_{\mathbb{N}}$ which require a probabilistic step. However, also explicit SLOCC classes where any separable transformation can be realized protocol each step is deterministic...

Abstract The electric energy demand of data centers in Germany has grown rapidly from 10.5 TWh/a 2010 to 13.2 2017, an average 25% which are used fulfill the centers' cooling demand. In order increase its efficiency, TU Darmstadt applies a new concept next generation high‐performance computing center “Lichtenberg II.” Instead current air‐cooled servers with water‐cooled rear doors at 17‐24°C, will be equipped direct hot‐water for computer, supplying heat temperature 45°C. high‐temperature...

We introduce measures of multipartite quantum correlations based on classical in mutually unbiased bases. These are measured terms the mutual information, which has a clear operational meaning. present sufficient conditions under these maximized. States that have previously been shown to be particularly important context local operations and communication fulfill therefore maximize correlation measures. In addition, we show how introduced can used detect high-dimensional tripartite...

We analyze entanglement in the family of translationally invariant matrix product states (MPS). give a criterion to determine when two can be transformed into each other by local operations with nonvanishing probability, central question theory. This induces classification within this states, which we explicitly carry out for simplest, nontrivial MPS. also characterize all symmetries MPS, both global and (inhomogeneous). illustrate our results examples that are relevant different physical contexts.

Entanglement is the resource to overcome natural limitations of spatially separated parties restricted Local Operations assisted by Classical Communications (LOCC). Recently two new classes operational entanglement measures, source and accessible entanglement, for arbitrary multipartite states have been introduced. Whereas measures from how many state interest can be obtained via LOCC, reached LOCC at hand. We consider here pure bipartite as well derive explicit formulae entanglement....

The study of transformations among pure states via Local Operations assisted by Classical Communication (LOCC) plays a central role in entanglement theory. main emphasis these investigations is on the deterministic, or probabilistic between two and mainly tools from linear algebra are employed. Here, we go one step beyond that analyze all optimal protocols. We show for bipartite almost multipartite (of arbitrarily many d-level systems) pairs states, there exist infinitely intermediate to...

We determine the local symmetries and transformation properties of certain many-body states called translationally invariant matrix product (TIMPSs). focus on physical dimension $d=2$ Hilbert spaces bond $D=3$ use procedure introduced in Sauerwein et al. [Phys. Rev. Lett. 123, 170504 (2019)] to all (including nonglobal) those states. identify classify stochastic operations assisted by classical communication (SLOCC) that are allowed among TIMPSs. scrutinize two very distinct sets TIMPSs show...

We consider the distribution of high-dimensional entangled states to multiple parties via noisy channels and subsequent probabilistic conversion these desired target using stochastic local operations classical communication. show that such state-conversion protocols can be enhanced by embedded channel-estimation routines at no additional cost in terms number copies distributed states. The defining characteristic our strategy is use those for which was unsuccessful estimation noise, thus...

Abstract Im Rahmen von Sanierungskonzepten werden Verbrauchsprognosen zur Quantifizierung und Bewertung Energieeinsparpotenzialen erstellt. Dabei ist zu beachten, dass sich das Verhältnis bilanziertem Energiebedarf tatsächlichem Energieverbrauch vor nach der Sanierung nicht linear verhält. Während berechnete Wärmebedarf häufig höher als gemessene Wärmeverbrauch, er meist niedriger. Dieser vermeintliche Widerspruch wird mit den Begriffen „Prebound‐Effekt” „Rebound‐Effekt” beschrieben....