Generating entanglement with linear optics

Entanglement is the basic building block of linear optical quantum computation, and as such understanding how to generate it in detail is of great importance for optical architectures. We prove that Bell states cannot be generated using only 3 photons in the dual-rail encoding, and give strong numerical evidence for the optimality of the existing 4 photon schemes. In a setup with a single photon in each input mode, we find a fundamental limit on the possible entanglement between a single mode Alice and arbitrary Bob. We investigate and compare other setups aimed at characterizing entanglement in settings more general than dual-rail encoding. The results draw attention to the trade-off between the entanglement a state has and the probability of postselecting that state, which can give surprising constant bounds on entanglement even with increasing numbers of photons.Comment: 13 pages, 10 figures, 1 table, comments welcom

Wolves of Today

Through the use of facilities such as the Connecticut Beardsley zoo, the Conservation Center in South Salem, NY (Westchester County) to that of wild wolf behavior from National Geographic documentary videos and reference books, we can observe the drastic differences of wolf behavior which widely depends on their environment, the food, and the amount of social contact they have within their pack. Wolves show a great deal of dominance over their territories, packs, and the source of food available to them. This interchanging network is cultivated through the relationships wolves have with their surroundings, therefore every stimulant produces a survival reaction that is an embodiment of their behaviors. If a wolf is captive and has no reason to fight for its survival by protecting a territory or hunting for its next meal, then the wolf ’s behavior and instincts are cut down to more than fifty percent. The predator instincts imbedded into the genetic makeup of a wolf, makes a wolf, a wolf. The purpose of this study was to observe and measure wolf social and non-social behaviors in captivity and to compare these behaviors to those seen in the wild. Results demonstrated that the wolf behavioral repertoire is much reduced in captivity

Complexity Classification of Local Hamiltonian Problems

The calculation of ground-state energies of physical systems can be formalised as the k-local Hamiltonian problem, which is the natural quantum analogue of classical constraint satisfaction problems. One way of making the problem more physically meaningful is to restrict the Hamiltonian in question by picking its terms from a fixed set S. Examples of such special cases are the Heisenberg and Ising models from condensed-matter physics. In this work we characterise the complexity of this problem for all 2-local qubit Hamiltonians. Depending on the subset S, the problem falls into one of the following categories: in P, NP-complete, polynomial-time equivalent to the Ising model with transverse magnetic fields, or QMA-complete. The third of these classes contains NP and is contained within StoqMA. The characterisation holds even if S does not contain any 1-local terms, for example, we prove for the first time QMA-completeness of the Heisenberg and XY interactions in this setting. If S is assumed to contain all 1-local terms, which is the setting considered by previous work, we have a characterisation that goes beyond 2-local interactions: for any constant k, all k-local qubit Hamiltonians whose terms are picked from a fixed set S correspond to problems either in P, polynomial-time equivalent to the Ising model with transverse magnetic fields, or QMA-complete. These results are a quantum analogue of Schaefer's dichotomy theorem for boolean constraint satisfaction problems.Some of this work was completed while AM was at the University of Cambridge. TC is supported by the Royal Society.This is the author accepted manuscript. The final version is available from IEEE via http://dx.doi.org/10.1109/FOCS.2014.2

Photochemical behavior of the drug atorvastatin in water.

Atorvastatin undergoes a self-sensitized photooxygenation by sunlight in water. The main photoproducts, isolated by chromatographic techniques, have been identified by spectroscopic means. They present a lactam ring arising from an oxidation of pyrrole ring and an alkyl/aryl shift. A mechanism involving singlet oxygen addition and an epoxide intermediate is suggested

Investing in Italy: Key legal issues for investors in the Gulf

Recent market data and press reports seem to confirm a growing interest, including from the Gulf, for investments in private and listed companies in Italy. In taking advantage of the opportunities presented by the Italian market (including the disposal plans announced and in part already enacted by the Italian government), investors should be aware of some key legal issues and practical factors. This article briefly outlines some of these key legal issues and factors as they may apply to investors from the Gulf region. It first addresses some of the disclosure and mandatory tender offer obligations that may be triggered in connection with investments in companies listed in Italy. It then provides some legal and practical insights regarding shareholders’ agreements, including certain related merger control considerations. It also provides a general overview of the new foreign investment control regime applicable to investments in the sectors of defense and national security, and in certain assets in the sectors of energy, transport and communications. Finally, it makes brief reference to the potential regulatory-specific approvals that may be required for investments in certain sectors and industries or in respect of certain assets. This article condenses the presentations and discussions that took place at the seminars hosted on this topic by Cleary Gottlieb in Abu Dhabi and Dubai in May 2014

What drives the valuation of entrepreneurial ventures? A map to navigate the literature and research directions

The drivers of the valuations of entrepreneurial ventures are an important issue in entrepreneurial finance, but related research is fragmented. The theoretical perspectives and the drivers highlighted by previous studies differ based on the financial milestones during a venture's lifecycle in which the valuation is performed (e.g., venture capital investments, initial public offerings, acquisitions). The introduction of new digital financing channels (e.g., crowdfunding, initial coin offerings) that allow retail investors to directly invest in entrepreneurial ventures challenge our understanding of the drivers of valuation. This change has also increased the diversity in the sequence of financial milestones that ventures go through, with important implications for valuation. We conduct a systematic literature review and develop a map highlighting how and why the drivers of venture valuations and their underlying theoretical lenses vary across the different milestones that ventures go through. The map allows us to outline new promising avenues for future research.Plain English Summary In this paper, we conduct a systematic literature review on entrepreneurial ventures' valuation drivers and their underlying theoretical lenses, highlighting how and why they vary along firms' life cycle. The valuation of entrepreneurial ventures is a challenging task for practitioners and a relevant issue that attracts the attention of scholars in entrepreneurship, finance, management, and economics. The literature on the topic is highly fragmented. Indeed, the context in which venture valuations are observed (e.g., in private deals or public offerings) differs across different financial milestones. The introduction of new digital financing channels (e.g., crowdfunding, initial coin offerings) and the increased diversity in the sequence of financial milestones that ventures go through further challenge our understanding of valuation drivers. This study is primarily aimed at scholars, offering them a map to create order in what we know about the drivers of entrepreneurial venture valuations and indicating promising avenues for future research

Ribosomal RNA Pseudouridylation: Will Newly Available Methods Finally Define the Contribution of This Modification to Human Ribosome Plasticity?

In human rRNA, at least 104 specific uridine residues are modified to pseudouridine. Many of these pseudouridylation sites are located within functionally important ribosomal domains and can influence ribosomal functional features. Until recently, available methods failed to reliably quantify the level of modification at each specific rRNA site. Therefore, information obtained so far only partially explained the degree of regulation of pseudouridylation in different physiological and pathological conditions. In this focused review, we provide a summary of the methods that are now available for the study of rRNA pseudouridylation, discussing the perspectives that newly developed approaches are offering

Femtosecond Covariance Spectroscopy

The success of non-linear optics relies largely on pulse-to-pulse consistency. In contrast, covariance based techniques used in photoionization electron spectroscopy and mass spectrometry have shown that wealth of information can be extracted from noise that is lost when averaging multiple measurements. Here, we apply covariance based detection to nonlinear optical spectroscopy, and show that noise in a femtosecond laser is not necessarily a liability to be mitigated, but can act as a unique and powerful asset. As a proof of principle we apply this approach to the process of stimulated Raman scattering in alpha-quartz. Our results demonstrate how nonlinear processes in the sample can encode correlations between the spectral components of ultrashort pulses with uncorrelated stochastic fluctuations. This in turn provides richer information compared to the standard non-linear optics techniques that are based on averages over many repetitions with well-behaved laser pulses. These proof-of-principle results suggest that covariance based nonlinear spectroscopy will improve the applicability of fs non-linear spectroscopy in wavelength ranges where stable, transform limited pulses are not available such as, for example, x-ray free electron lasers which naturally have spectrally noisy pulses ideally suited for this approach

Two-sided estimates of minimum-error distinguishability of mixed quantum states via generalized Holevo-Curlander bounds

We prove a concise factor-of-2 estimate for the failure rate of optimally distinguishing an arbitrary ensemble of mixed quantum states, generalizing work of Holevo [Theor. Probab. Appl. 23, 411 (1978)] and Curlander [Ph.D. Thesis, MIT, 1979]. A modification to the minimal principle of Cocha and Poor [Proceedings of the 6th International Conference on Quantum Communication, Measurement, and Computing (Rinton, Princeton, NJ, 2003)] is used to derive a suboptimal measurement which has an error rate within a factor of 2 of the optimal by construction. This measurement is quadratically weighted and has appeared as the first iterate of a sequence of measurements proposed by Jezek et al. [Phys. Rev. A 65, 060301 (2002)]. Unlike the so-called pretty good measurement, it coincides with Holevo's asymptotically optimal measurement in the case of nonequiprobable pure states. A quadratically weighted version of the measurement bound by Barnum and Knill [J. Math. Phys. 43, 2097 (2002)] is proven. Bounds on the distinguishability of syndromes in the sense of Schumacher and Westmoreland [Phys. Rev. A 56, 131 (1997)] appear as a corollary. An appendix relates our bounds to the trace-Jensen inequality.Comment: It was not realized at the time of publication that the lower bound of Theorem 10 has a simple generalization using matrix monotonicity (See [J. Math. Phys. 50, 062102]). Furthermore, this generalization is a trivial variation of a previously-obtained bound of Ogawa and Nagaoka [IEEE Trans. Inf. Theory 45, 2486-2489 (1999)], which had been overlooked by the autho