Universal Quantum Circuits

We define and construct efficient depth universal and almost size universal quantum circuits. Such circuits can be viewed as general purpose simulators for central classes of quantum circuits and can be used to capture the computational power of the circuit class being simulated. For depth we construct universal circuits whose depth is the same order as the circuits being simulated. For size, there is a log factor blow-up in the universal circuits constructed here. We prove that this construction is nearly optimal. Our results apply to a number of well-studied quantum circuit classes.

Solo and Chamber Music of Pulitzer Prize-Winning Composers

The Pulitzer Prize in Music, established in 1943, is one of America's most prestigious awards. It has been awarded to fifty-three composers for a "distinguished musical composition of significant dimension by an American that has had its first performance in the United States during the year." Composers who have won the Pulitzer Prize are considered to be at the pinnacle of their creativity and have provided the musical world with classical music compositions worthy of future notice. By tracing the history of Pulitzer Prize-winning composers and their compositions, researchers and musicians enhance their understanding of the historical evolution of American music, and its impact on American culture. Although the clarinet music of some of these composers is rarely performed today, their names will be forever linked to the Pulitzer, and because of that, their compositions will enjoy a certain sense of immortality. Of the fifty-four composers who have won the award, forty-seven have written for the clarinet in a solo or chamber music setting (five or less instruments). Just as each Pulitzer Prize-winning composition is a snapshot of the state of American music at that time, these works trace the history of American clarinet musical development, and therefore, they are valuable additions to the clarinet repertoire and worthy of performance. This dissertation project consists of two recitals featuring the solo and chamber clarinet music of sixteen Pulitzer Prize-winning composers, extended program notes containing information on each composer's life, their music, the Pulitzer Prize-winning composition and the recital selection, and a complete list of all Pulitzer Prize-winning composers and their solo and chamber clarinet music. Featured Composers Dominick Argento, To Be Sung Upon the Water Leslie Bassett, Soliloquies William Bolcom, Little Suite of Four Dances Aaron Copland, As it Fell Upon a Day John Corigliano, Soliloquy Norman Dello Joio, Concertante Morton Gould, Benny's Gig Charles Ives, Largo Douglas Moore, Quintet for Clarinet and Strings George Perle, Three Sonatas Quincy Porter, Quintet for Clarinet and Strings Mel Powell, Clarinade Shulamit Ran, Private Game Joseph Schwantner, Entropy Leo Sowerby, Sonata Ernst Toch, Adagio elegiaco

GABRIEL URBAIN FAURÉ, THE UNSUNG MODERNIST: A PERFORMANCE SURVEY OF SELECTED LATE WORKS WRITTEN AFTER 1892 FOR PIANO SOLO, AND PIANO IN COLLABORATION WITH VIOLIN, VIOLONCELLO, AND VOICE

Gabriel Urbain Fauré lived during one of the most exciting times in music history. Spanning a life of 79 years (1845-1924), he lived through the height of Romanticism and the experimental avant-garde techniques of the early 20th century. In Fauré's music, one can find traces of Chopin, Liszt, Mendelssohn, Debussy and Poulenc. One can even argue that Fauré presages Skryabin and Shostakovich. The late works of Gabriel Fauré, chiefly those composed after 1892, testify to the argument that Fauré holds an important position in the shift from tonal to atonal composition and should be counted among such transitional composers as Gustav Mahler, Claude Debussy, Erik Satie, Richard Strauss, and Ferruccio Busoni. Fauré's unique way of fashioning harmonic impetus of almost purely linear means, resulting in a synthesis of harmonic and melodic devices, led me to craft the term mélodoharmonique. This term refers to a contrapuntally motivated technique of composition, particularly in a secondary layer of musical texture, in which a component of harmonic progression (i.e. arpeggiation, broken chord, etc.) is fused with linear motivic or thematic development. This dissertation seeks to bring to public attention through exploration in lecture and recital format, certain works of Gabriel Fauré, written after 1892. The repertoire will be selected from works for solo piano and piano in collaboration with violin, violoncello, and voice, which support the notion of Fauré as a modernist deserving larger recognition for his influence in the transition to atonal music. The recital repertoire includes the following--Song Cycles: La bonne chanson, opus 61; La chanson d'Ève, opus 95; Le jardin clos, opus 106; Mirages, opus 113; L'horizon chimérique, opus 118; Piano Works: Prelude in G minor opus 103, No. 3; Prelude in E minor opus 103, No. 9; Eleventh Nocturne, opus 104, No.1; Thirteenth Nocturne, opus 119; Chamber Works: Second Violin Sonata, opus 108; First Violoncello Sonata, opus 109; Second Violoncello Sonata, opus 117.

Spike avalanches exhibit universal dynamics across the sleep-wake cycle.

BACKGROUND: Scale-invariant neuronal avalanches have been observed in cell cultures and slices as well as anesthetized and awake brains, suggesting that the brain operates near criticality, i.e. within a narrow margin between avalanche propagation and extinction. In theory, criticality provides many desirable features for the behaving brain, optimizing computational capabilities, information transmission, sensitivity to sensory stimuli and size of memory repertoires. However, a thorough characterization of neuronal avalanches in freely-behaving (FB) animals is still missing, thus raising doubts about their relevance for brain function. METHODOLOGY/PRINCIPAL FINDINGS: To address this issue, we employed chronically implanted multielectrode arrays (MEA) to record avalanches of action potentials (spikes) from the cerebral cortex and hippocampus of 14 rats, as they spontaneously traversed the wake-sleep cycle, explored novel objects or were subjected to anesthesia (AN). We then modeled spike avalanches to evaluate the impact of sparse MEA sampling on their statistics. We found that the size distribution of spike avalanches are well fit by lognormal distributions in FB animals, and by truncated power laws in the AN group. FB data surrogation markedly decreases the tail of the distribution, i.e. spike shuffling destroys the largest avalanches. The FB data are also characterized by multiple key features compatible with criticality in the temporal domain, such as 1/f spectra and long-term correlations as measured by detrended fluctuation analysis. These signatures are very stable across waking, slow-wave sleep and rapid-eye-movement sleep, but collapse during anesthesia. Likewise, waiting time distributions obey a single scaling function during all natural behavioral states, but not during anesthesia. Results are equivalent for neuronal ensembles recorded from visual and tactile areas of the cerebral cortex, as well as the hippocampus. CONCLUSIONS/SIGNIFICANCE: Altogether, the data provide a comprehensive link between behavior and brain criticality, revealing a unique scale-invariant regime of spike avalanches across all major behaviors.

Universal quantum viscosity in a unitary Fermi gas.

A Fermi gas of atoms with resonant interactions is predicted to obey universal hydrodynamics, in which the shear viscosity and other transport coefficients are universal functions of the density and temperature. At low temperatures, the viscosity has a universal quantum scale ħ n, where n is the density and ħ is Planck's constant h divided by 2π, whereas at high temperatures the natural scale is p(T)(3)/ħ(2), where p(T) is the thermal momentum. We used breathing mode damping to measure the shear viscosity at low temperature. At high temperature T, we used anisotropic expansion of the cloud to find the viscosity, which exhibits precise T(3/2) scaling. In both experiments, universal hydrodynamic equations including friction and heating were used to extract the viscosity. We estimate the ratio of the shear viscosity to the entropy density and compare it with that of a perfect fluid.

Development of universal antidotes to control aptamer activity.

With an ever increasing number of people taking numerous medications, the need to safely administer drugs and limit unintended side effects has never been greater. Antidote control remains the most direct means to counteract acute side effects of drugs, but, unfortunately, it has been challenging and cost prohibitive to generate antidotes for most therapeutic agents. Here we describe the development of a set of antidote molecules that are capable of counteracting the effects of an entire class of therapeutic agents based upon aptamers. These universal antidotes exploit the fact that, when systemically administered, aptamers are the only free extracellular oligonucleotides found in circulation. We show that protein- and polymer-based molecules that capture oligonucleotides can reverse the activity of several aptamers in vitro and counteract aptamer activity in vivo. The availability of universal antidotes to control the activity of any aptamer suggests that aptamers may be a particularly safe class of therapeutics.

Selected Solo Music for Saxophone by United States Composers: 1975-2005

This dissertation project identifies important works for solo saxophone by United States composers between 1975 and 2005. The quality, variety, expressiveness, and difficulty of the solo saxophone repertoire during these thirty years is remarkable and remedies, to some extent, the fact that the saxophone had been a largely neglected instrument in the realm of classical music. In twentieth-century music, including Jazz, the saxophone developed, nevertheless, a unique and significant voice as is evident in the saxophone repertoire that expands immensely in many instrumental settings, including the orchestra, solo works, and a wide variety of chamber ensembles. Historically, the saxophone in the United States first found its niche in Vaudeville, military bands, and jazz ensembles, while in Europe composers such as Debussy, D'Indy, Schmitt, Ibert, Glazounov, Heiden, and Desenclos recognized the potential of the instrument and wrote for it. The saxophone is well suited to the intimacy and unique timbral explorations of the solo literature, but only by the middle twentieth century did the repertoire allow the instrument to flourish into a virtuosic and expressive voice presented by successive generations of performers – Marcel Mule, Sigurd Rascher, Cecil Leeson, Jean-Marie Londeix, Fred Hemke, Eugene Rousseau, and Donald Sinta. The very high artistic level of theses soloists was inspiring and dozens of new compositions were commissioned. Through the 1960’s American composers such as Paul Creston, Leslie Bassett, Henry Cowell, Alec Wilder, and others produced eminent works for the saxophone, to be followed by an enormous output of quality compositions between 1975 and 2005. The works chosen for performance were selected from thousands of compositions between 1975 and 2005 researched for this project. The three recital dates were: April 6, 2005, in Gildenhorn Recital Hall, December 4, 2005, in Ulrich Recital Hall, and April 15, 2006, in Gildenhorn Recital Hall. Recordings of these recitals may be obtained in person or online from the Michelle Smith Performing Arts Library of the University of Maryland, College Park.

BACH TO BASICS: A PERFORMANCE STUDY OF THE SUITES FOR SOLO CELLO BY JOHANN SEBASTIAN BACH, BWV 1007-1012

This dissertation project focuses on J.S. Bach's Six Suites and explores the ideology of the Suites as etudes versus concert pieces. It is my belief that the evolution of the rank of the Suites in a cellist's repertoire today represents more than just historical coincidence. My premise is that the true genius of the Suites lies in their dual role as !&I efficient teaching pieces and superior performance works. Consequently, the maximum use of Bach's Six Suites as pedagogical material heightens both technical ability and deeper appreciation of the art. The dual nature of the Suites must always be emphasized: not only do these pieces provide innumerable opportunities for building cello technique, but they also offer material for learning the fundamentals of melody, harmony, dynamics, phrasing and texture. It is widely accepted among academic musicians that Bach's keyboard music serves as perfect compositions -- the model for music theory, music form and music counterpoint. I argue that we should employ the Cello Suites to this same end. The order in which the Suites are presented was deliberately chosen to highlight the contrasts in the pieces. Because the technical demands of each suite grow progressively from the previous one, they were performed non-consecutively in order to balance the difficulty and depth of each recital. The first compact disc consists of the Third Suite in C Major and Fifth Suite in C minor (with scordatura tuning), emphasizing the parallel keys. The Second Suite in D Minor and the Fourth Suite in E-flat Major comprises the compact disc. Finally, in the third compact disc, the First Suite in G Major and the Sixth Suite in D Major (composed for the five string cello piccola, but played here on a four-string cello) highlights the progression of the Suites.

All This the World Well Knows: a symphonic cantata in Sonnets and Proverbs for mixed chorus, four solo voices, and orchestra

All This the World Well Knows is a 30-minute symphonic cantata for mixed chorus, four solo voices (soprano, mezzo-soprano, tenor, and baritone), and orchestra. The libretto, adapted by the composer, weaves together texts from Shakespeare's Dark Lady sonnets and from the King James Bible's book of Proverbs in a loose narrative of love, betrayal, and reconciliation. The composition's pitch material includes microtonality that arises from the just intonation of sonorities derived from the harmonic series. In passages in which the solo voices express this microtonality, they are amplified in order to allow precise, non vibrato intonation. The modest size of the orchestra, which includes pairs of winds and only two percussionists, makes the composition practical for a wide range of performing groups.

BAROQUE MUSIC FOR TRUMPET: A STUDY OF SOLO AND CHAMBER REPERTOIRE

The trumpet experienced important changes in terms of its musical use during the middle and late Baroque period. Prior to the Baroque, and even in to the first half of the 17th century, the trumpet had historically been used for rather "non-musical" purposes, sometimes as an instrument for battle or as a tool to be used in the town square to announce the arrival of a dignitary. On the whole, the trumpet was most certainly not used as an instrument of melody -that was typically reserved for violins, flutes, and oboes. However, in the late 1600's, composers such as Allesandro Stradella and Henry Purcell began to treat the trumpet differently. They saw the melodic potential in the trumpet and began to feature the trumpet more as an instrument of melody, as opposed to relegating it to only outlining triads and emphasizing harmony. Of course, keyboard, string, and woodwind instruments had long established a significant catalogue of works by the late 17th century. Additionally, even after the trumpet had been established as an instrument of melody, prominent composers of the time still wrote significantly more solo music for these other instrument families than for the trumpet. Consequently, the overall Baroque repertoire for the solo trumpet pales in comparison to that of the other families of instruments. But, much of this Baroque literature not originally written for trumpet can be presented effectively in the form of a transcription, thereby adding greatly to the repertoire of the Baroque solo trumpet. The goal of these three dissertation recitals is twofold: 1) to perform literature that offers music from a variety of countries of origin that span the entire Baroque era and 2) to feature music that has remained relatively unknown in the trumpet world, yet is musically strong. I will also introduce viable "new" music to the trumpet repertoire through Baroque transcriptions originally written for other instruments or voice. The majority of the transcriptions I will be performing have originated from my own listening and study of Baroque music, and I have selected music that I felt would translate well for the trumpet.

SOLO AND CHAMBER CLARINET WORKS BY AMERICAN- BORN WOMEN COMPOSERS: 1990-2005

During the period of 1990-2005, American-born women composers have contributed significantly to the standard clarinet repertoire. Pioneering composers such as Joan Tower, Margaret Brouwer, and Libby Larsen have created staples for clarinet literature. Yet, there is very little scholarly research on women composers of clarinet music, most being concentrated on Joan Tower. Through my research, I have discovered over seventy-five works by more than fifty composers in the following genres: solo clarinet; clarinet and piano; clarinet and voice, with or without piano; and small chamber pieces for up to five players. This performance dissertation project consists of three recitals featuring solo and chamber works by nine living women composers, and program notes containing pertinent biographical and compositional information. My intent is to increase recognition women composers, both prominent and lesser known, who are writing high-quality, accessible clarinet literature. Each woman selected is making a full or partial living from the sales of her compositions, has received recognition through awards, commissions, grants, and frequent performances, and has composed works that are both performer and audience accessible. Recital 1: Trios for Clarinet, Violin, and Piano Commissioned by the Verdehr Trio and Composed by American-Born Women Composers. Composers: Jennifer Higdon, Joan Tower, Margaret Brouwer, and Libby Larsen. Recital II: Programmatic Clarinet Works by American-Born Women Composers. Composers: Andrea Clearfield, Stella Sung, and Karen Amrhein. Recital III: Works for Solo Clarinet, Clarinet and Piano, and Clarinet Concerto Genres by American-Born Women Composers. Composers: Persis Parshall Vehar, Jenni Brandon, Margaret Brouwer, and Libby Larsen.

THEATRICAL MUSIC FOR SOLO PERCUSSION

The act of playing percussion is innately theatrical. The motions by which a percussionist plays his instruments often resemble a carefully choreographed dance. Our bodies are freed from having to hold or blow into an instrument. We are free to move to and from our instruments, to change our facial expressions, and to vocalize. This performance dissertation consists of three recitals featuring theatrical music for solo percussion. The selections are limited to works in which the composer instructs the solo percussion performer to perform in an extra-musical capacity, whether it be by singing, speaking, moving, acting, dancing, or any other action. On all three recitals, I performed established works for solo theatrical percussion. However, on the first recital, I also played the world premiere performance of The Authors, a new work by Stuart Saunders Smith. This half-hour long marimba opera requires the solo performer to speak, sing, and act while playing the marimba. For the final recital, I featured pieces commissioned from two professional composers, John Leupold II and Daniel Adams. Through this series, I hope to both pay tribute to existing great works and to encourage new composition of solo theatrical percussion music.

THE DEVELOPMENT OF THE AMERICAN SOLO TUBA REPERTOIRE

A very good case can be made that no other instrument has experienced as dramatic an increase in artistic solo repertoire as the tuba in the past sixty years. Prior to 1954, the mainstays of the tuba repertoire were trite caricature pieces such as Solo Pomposo, Rocked in the Cradle of the Deep, Beelzebub, and Bombastoso. A few tubists, seeing the tremendous repertoire by great composers written for their brass brethren, took it upon themselves to raise the standard of original compositions for tuba. These pioneers and champions of the tuba accomplished a great deal in the mid to late twentieth century. They structured a professional organization to solidify their ranks, planned and performed in the first tuba recitals at Carnegie Hall, organized the First International Tuba Symposium-Workshop, indirectly created more prestigious positions for tuba specialists at major universities, and improved the quantity and quality of the solo tuba repertoire. This dissertation focuses on the development of the solo repertoire for tuba that happened in the United States because of the tremendous efforts of William Bell, Harvey Phillips, Roger Bobo, and R. Winston Morris. Because of their tireless work, tuba instrumentalists today enjoy a multitude of great solo works including traditional sonatas, concertos, and chamber music as well as cutting edge repertoire written in many genres and accompanied by a variety of mediums. This dissertation attempts to trace the development of the repertoire presenting the works of American composers in varying genres and musical styles from 1962 to present through three performed recitals.

VIRTUOSIC ELEMENTS IN THE COLLABORATIVE PIANIST’S REPERTOIRE: SELECTED SOLO, VOCAL, AND CHAMBER WORKS OF RACHMANINOFF AND RAVEL

This dissertation project explores some of the technical and musical challenges that face pianists in a collaborative role—specifically, those challenges that may be considered virtuosic in nature. The material was chosen from the works of Rachmaninoff and Ravel because of the technically and musically demanding yet idiomatic piano writing. This virtuosic piano writing also extends into the collaborative repertoire. The pieces were also chosen to demonstrate these virtuosic elements in a wide variety of settings. Solo piano pieces were chosen to provide a point of departure, and the programmed works ranged from vocal to two-piano, to sonatas and a piano trio. The recitals were arranged to demonstrate as much contrast as possible, while being grouped by composer. The first recital was performed on April 24, 2009. This recital featured five songs of Rachmaninoff, as well as three solo piano preludes and his Suite No. 2 for two pianos. The second recital occurred on November 16, 2010. This recital featured the music of both Rachmaninoff and Ravel, as well as a short lecture introducing the solo work “Ondine” from Gaspard de la nuit by Ravel. Following the lecture were the Cinq mélodies populaires grecques and the program closed with the substantial Rachmaninoff Sonata for Cello and Piano. The final program was given on October 10, 2011. This recital featured the music of Ravel, and it included his Sonata for Violin and Piano, the Debussy Nocturnes transcribed for two pianos by Ravel, and the Piano Trio. The inclusion of a transcription of a work by another composer highlights Ravel’s particular style of writing for the piano. All of these recitals were performed at the Gildenhorn Recital Hall in the Clarice Smith Performing Arts Center at the University of Maryland. The recitals are recorded on compact discs, which can be found in the Digital Repository at the University of Maryland (DRUM).