Bound on quantum computation time: Quantum error correction in a critical environment

We obtain an upper bound on the time available for quantum computation for a given quantum computer and decohering environment with quantum error correction implemented. First, we derive an explicit quantum evolution operator for the logical qubits and show that it has the same form as that for the physical qubits but with a reduced coupling strength to the environment. Using this evolution operator, we find the trace distance between the real and ideal states of the logical qubits in two cases. For a super-Ohmic bath, the trace distance saturates, while for Ohmic or sub-Ohmic baths, there is a finite time before the trace distance exceeds a value set by the user. © 2010 The American Physical Society.

Waveguide QED: Many-body bound-state effects in coherent and Fock-state scattering from a two-level system

Strong coupling between a two-level system (TLS) and bosonic modes produces dramatic quantum optics effects. We consider a one-dimensional continuum of bosons coupled to a single localized TLS, a system which may be realized in a variety of plasmonic, photonic, or electronic contexts. We present the exact many-body scattering eigenstate obtained by imposing open boundary conditions. Multiphoton bound states appear in the scattering of two or more photons due to the coupling between the photons and the TLS. Such bound states are shown to have a large effect on scattering of both Fock- and coherent-state wave packets, especially in the intermediate coupling-strength regime. We compare the statistics of the transmitted light with a coherent state having the same mean photon number: as the interaction strength increases, the one-photon probability is suppressed rapidly, and the two- and three-photon probabilities are greatly enhanced due to the many-body bound states. This results in non-Poissonian light. © 2010 The American Physical Society.

HDAC inhibitors cause site-specific chromatin remodeling at PU.1-bound enhancers in K562 cells

BACKGROUND: Small molecule inhibitors of histone deacetylases (HDACi) hold promise as anticancer agents for particular malignancies. However, clinical use is often confounded by toxicity, perhaps due to indiscriminate hyperacetylation of cellular proteins. Therefore, elucidating the mechanisms by which HDACi trigger differentiation, cell cycle arrest, or apoptosis of cancer cells could inform development of more targeted therapies. We used the myelogenous leukemia line K562 as a model of HDACi-induced differentiation to investigate chromatin accessibility (DNase-seq) and expression (RNA-seq) changes associated with this process. RESULTS: We identified several thousand specific regulatory elements [~10 % of total DNase I-hypersensitive (DHS) sites] that become significantly more or less accessible with sodium butyrate or suberanilohydroxamic acid treatment. Most of the differential DHS sites display hallmarks of enhancers, including being enriched for non-promoter regions, associating with nearby gene expression changes, and increasing luciferase reporter expression in K562 cells. Differential DHS sites were enriched for key hematopoietic lineage transcription factor motifs, including SPI1 (PU.1), a known pioneer factor. We found PU.1 increases binding at opened DHS sites with HDACi treatment by ChIP-seq, but PU.1 knockdown by shRNA fails to block the chromatin accessibility and expression changes. A machine-learning approach indicates H3K27me3 initially marks PU.1-bound sites that open with HDACi treatment, suggesting these sites are epigenetically poised. CONCLUSIONS: We find HDACi treatment of K562 cells results in site-specific chromatin remodeling at epigenetically poised regulatory elements. PU.1 shows evidence of a pioneer role in this process by marking poised enhancers but is not required for transcriptional activation.

Common Bound: The Small Groups of Methodism

The system of small groups John Wesley established to promote a proper life of discipleship in early Methodist converts was, in many respects, the strength of the Methodist movement. Those who responded to Wesley’s initial invitation to “flee the wrath to come” were organized into large gatherings called “societies,” which were then subdivided into smaller bands, class meetings, select societies, and penitent bands. The smaller groups gave Wesley the opportunity, through a system of appointed leaders, to keep track of the spiritual progress of every member in his movement, which grew to tens of thousands by the time of his death in 1791. As Methodism shifted from renewal movement to institutional church in the nineteenth century, however, growth slowed, and participation in such groups declined rapidly. By the early twentieth century, classes and bands were virtually extinct in every sector of Methodism save the African-American tradition. In recent years, scholars in various sectors of the Wesleyan tradition, particularly David Lowes Watson and Kevin Watson, have called for a recovery of these small groups for purposes of renewal in the church. There is no consensus, however, concerning what exactly contributed to the vitality of these groups during Wesley’s ministry.

Over the last century, sociological studies of group dynamics have revealed three common traits that are crucial to highly functioning groups: interdependence created by the existence of a common goal, interaction among group members that is “promotive” or cooperative in nature, and high levels of feedback associated with personal responsibility and individual accountability. All three of these were prevalent in the early Methodist groups. Interdependence existed around a shared goal, which for Wesley and the Methodists was holiness. That interdependence was cooperative in nature; individuals experienced the empowering grace of God as they each pursued the goal in the company of fellow pilgrims. Finally, the groups existed for purposes of feedback and accountability as individuals took responsibility both for themselves and others as they progressed together toward the goal of holy living. Wesley seemed to instinctively understand the essential nature of each of these characteristics in maintaining the vitality of the movement when he spoke of the importance of preserving the “doctrine, spirit and discipline” of early Methodism. Analysis of some of the present-day attempts to restore Wesley’s groups reveals frequent neglect to one or more of these three components. Perhaps most critical to recovering the vitality of the early Methodist groups will be reclaiming the goal of sanctification and coming to a consensus on what its pursuit means in the present day.