Performing joint measurements and transformations on several qubits by operating on a single control qubit

An n-qubit quantum register can in principle be completely controlled by operating on a single qubit that interacts with the register via an appropriate fixed interaction. We consider a hypothetical system consisting of n spin-1/2 nuclei that interact with an electron spin via a magnetic interaction. We describe algorithms that measure non-trivial joint observables on the register by acting on the control spin only. For large n this is not an efficient model for universal quantum computation but it can be modified to an efficient one if one allows n possible positions of the control particle. This toy model of measurements illustrates in which way specific interactions between the register and a probe particle support specific types of joint measurements in the sense that some joint observables can be measured by simple sequences of operations on the probe particle.Comment: 7 pages, revtex, 3 figure

Recombinant Mitochondrial Transcription Factor A with N-terminal Mitochondrial Transduction Domain Increases Respiration and Mitochondrial Gene Expression in G11778A Leber's Hereditary Optic Neuropathy Cybrid Cells

Diseases involving mitochondrial defects usually manifest themselves in high-energy, post-mitotic tissues such as brain, retina, skeletal and cardiac muscle and frequently cause deficiencies in mitochondrial bioenergetics. We have developed a scalable procedure to produce recombinant human mitochondrial transcription factor A (TFAM) modified with an N-terminal protein transduction domain (PTD) and mitochondrial localization signal (MLS) that allow it to cross membranes and enter mitochondria through its "mitochondrial transduction domain" (MTD,=PTD+MLS). _In vitro_ studies in a classic mitochondrial disease cell model demonstrated that Alexa488-labeled MTD-TFAM rapidly entered the mitochondrial compartment. MTD-TFAM treatment of these cell lines reversibly increased oxygen consumption (respiration) rates 3-fold, levels of respiratory proteins and mitochondrial gene expression. _In vivo_ results demonstrated that respiration increased to lesser degrees in mitochondria from tissues of mice injected with MTD-TFAM. MTD-TFAM can alter mitochondrial bioenergetics and holds promise for treatment of mitochondrial diseases involving deficiencies of energy production

Gas Permeation of Sulfur Thin-Films and Potential as a Barrier Material.

Elemental sulfur was formed into poly(ether sulfone)-supported thin-films (ca. 10 µm) via a melt-casting process. Observed permeabilities of C2H4, CO2, H2, He, and N2 through the sulphur thin-films were <1 barrer. The sulfur thin-films were observed to age over a period of ca. 15 days, related to the reversion of polymerized sulfur to the S8 allotrope. This structural conversion was observed to correlate with an increase in the permeability of all gases

Approximate quantum data storage and teleportation

In this paper we present an optimal protocol by which an unknown state on a Hilbert space of dimension $N$ can be approximately stored in an $M$-dimensional quantum system or be approximately teleported via an $M$-dimensional quantum channel. The fidelity of our procedure is determined for pure states as well as for mixed states and states which are entangled with auxiliary quantum systems of varying Hilbert space dimension, and it is compared with theoretical results for the maximally achievable fidelity.Comment: More detailed discussion of teleportation of entangled and mixed states. Added reference to work by Banaszek. 8 pages, 1 figur

Divide & Concur: Separate Opinions & Legal Change

To the extent concurring opinions elicit commentary at all, it is largely contempt. They are condemned for muddying the clarity of the law, fracturing the court, and diminishing the authoritative voice of the majority. But what if this neglect, or even disdain, of concurring opinions is off the mark? In this article, we argue for the importance of concurring opinions, demonstrating how they serve as the pulse and compass of legal change. Concurring opinions let us know what is happening below the surface of the law, thereby encouraging litigants to push the law in particular directions. This is particularly true of a type of concurrence we identify here for the frst time: the pivotal concurrence. Pivotal concurrences occur when one or more members of a court majority also choose to write separately, undercutting the majority\u27s rule in the case. Under the Supreme Court\u27s rule of fve, lower courts ought to disregard pivotal concurrences and adhere to the majority opinion. But as we show here, that is hardly the case. Utilizing a dataset created for this purpose, we demonstrate that pivotal concurrences are more common than one might think, are becoming yet more so, and-despite the Supreme Court\u27s admonition to the contrary-are taken quite seriously by lower courts. Especially in constitutional, salient cases, lower courts appear to disregard a binding majority opinion in favor of the path offered by the concurrence. Rather than condemning this, we rely on the historical development of concurrences to show the vitalfunction they play in motivating and smoothing the way for legal change. Contrary to conventional wisdom, we argue, there is beauty in a fractured court. Precisely in those cases that are most high-stakes and most contentious, it is inportant that the Justices reveal their individual views. Those views send essential signals to litigants and lawyers about where legal change is possible and where it is not, helping both to temper expectations and to move the law itself

Highly coloured and electrophoretically active polymer microparticles via staggered dispersion polymerisation in supercritical carbon dioxide and dodecane

Devices featuring electrophoretic displays (EPD) have become extremely popular in recent years because of their low power consumption, high readability and thin display designs, but a product with a full colour gamut comparable with liquid crystal displays (LCDs) has not yet been commercialised. In this article, we demonstrate that staggering the addition of methyl methacrylate (MMA) monomer and low quantities of a coloured dye crosslinker is an effective route to producing well-defined and covalently-linked, strongly coloured PMMA microparticles in one-pot, via dispersion polymerisation in supercritical carbon dioxide (scCO2). This novel methodology is synthetically simple, readily scalable and has the added cachet of being cost effective because the functional molecules can be confined on the microparticle surface such that even at low concentrations, the resulting materials are brightly coloured. We then demonstrate the applicability of this approach to another functional comonomer/crosslinker system in 2-dimethylaminoethyl methacrylate (DMAEMA)/ethyleneglycol dimethacrylate (EGDMA), in this case allowing hierarchically structured ‘pomegranate-like’ microparticles with polarisable charge to be produced over a range of DMAEMA loadings as high as 44 wt%. Finally, the performance of these materials in out-of-plane EPD test cells is compared against analogues synthesised in dodecane. These tests revealed that the coloured microparticles fabricated in scCO2 performed as well as or better than their dodecane synthesised counterparts, consistently producing the cleanest white state and achieving effective colour switching over ten cycles

Divide & Concur: Separate Opinions & Legal Change

To the extent concurring opinions elicit commentary at all, it is largely contempt. They are condemned for muddying the clarity of the law, fracturing the court, and diminishing the authoritative voice of the majority. But what if this neglect, or even disdain, of concurring opinions is off the mark? In this article, we argue for the importance of concurring opinions, demonstrating how they serve as the pulse and compass of legal change. Concurring opinions let us know what is happening below the surface of the law, thereby encouraging litigants to push the law in particular directions. This is particularly true of a type of concurrence we identify here for the frst time: the pivotal concurrence. Pivotal concurrences occur when one or more members of a court majority also choose to write separately, undercutting the majority\u27s rule in the case. Under the Supreme Court\u27s rule of fve, lower courts ought to disregard pivotal concurrences and adhere to the majority opinion. But as we show here, that is hardly the case. Utilizing a dataset created for this purpose, we demonstrate that pivotal concurrences are more common than one might think, are becoming yet more so, and-despite the Supreme Court\u27s admonition to the contrary-are taken quite seriously by lower courts. Especially in constitutional, salient cases, lower courts appear to disregard a binding majority opinion in favor of the path offered by the concurrence. Rather than condemning this, we rely on the historical development of concurrences to show the vitalfunction they play in motivating and smoothing the way for legal change. Contrary to conventional wisdom, we argue, there is beauty in a fractured court. Precisely in those cases that are most high-stakes and most contentious, it is inportant that the Justices reveal their individual views. Those views send essential signals to litigants and lawyers about where legal change is possible and where it is not, helping both to temper expectations and to move the law itself

Defects and disorder in metal organic frameworks.

The wide-ranging properties of metal organic frameworks (MOFs) rely in many cases on the presence of defects within their structures and the disorder that is inevitably associated with such defects. In the present work we review several aspects of defects in MOFs, ranging from simple substitutional defects at metal cation or ligand positions, to correlated defects on a larger length scale and the extreme case of disorder associated with amorphous MOFs. We consider both porous and dense MOFs, and focus particularly on the way in which defects and disorder can be used to tune physical properties such as gas adsorption, catalysis, photoluminescence, and electronic and mechanical properties.The authors would like to thank Ras Al Khaimah Center for Advanced Materials (AKC, TDB), Trinity Hall (TDB), and the ERC (ALG, Grant 279705).This is the author accepted manuscript. The final version is available from RSC via http://dx.doi.org/10.1039/C5DT04392