Tricolored Lattice Gauge Theory with Randomness: Fault-Tolerance in Topological Color Codes

We compute the error threshold of color codes, a class of topological quantum codes that allow a direct implementation of quantum Clifford gates, when both qubit and measurement errors are present. By mapping the problem onto a statistical-mechanical three-dimensional disordered Ising lattice gauge theory, we estimate via large-scale Monte Carlo simulations that color codes are stable against 4.5(2)% errors. Furthermore, by evaluating the skewness of the Wilson loop distributions, we introduce a very sensitive probe to locate first-order phase transitions in lattice gauge theories.Comment: 12 pages, 5 figures, 1 tabl

Development of practice principles for the management of ongoing suicidal ideation in young people diagnosed with major depressive disorder

Objectives: There is a lack of clear guidance regarding the management of ongoing suicidality in young people experiencing major depressive disorder. This study utilised an expert consensus approach in identifying practice principles to complement relevant clinical guidelines for the treatment of major depressive disorder in young people. The study also sought to outline a broad treatment framework for clinical intervention with young people experiencing ongoing suicidal ideation. Methods: In-depth focus groups were undertaken with a specialist multidisciplinary clinical team (the Youth Mood Clinic at Orygen Youth Health Clinical Program, Melbourne) working with young people aged 15–25 years experiencing ongoing suicidal ideation. Each focus group was audio recorded and transcribed verbatim using orthographic conventions. Principles of grounded theory and thematic analysis were used to analyse and code the resultant data. Results: The identified codes were subsequently synthesised into eight practice principles reflecting engagement and consistency of care, ongoing risk assessment and documentation, individualised crisis planning, engaging systems of support, engendering hopefulness, development of adaptive coping, management of acute risk, and consultation and supervision. Conclusions: The identified practice principles provide a broad management framework, and may assist to improve treatment consistency and clinical management of young people experiencing ongoing suicidal ideation. The practice principles may be of use to health professionals working within a team-based setting involved in the provision of care, even if peripherally, to young people with ongoing suicidal ideation. Findings address the lack of treatment consistency and shared terminology and may provide containment and guidance to multidisciplinary clinicians working with this at-risk group

Geometrical Ambiguity of Pair Statistics. I. Point Configurations

Point configurations have been widely used as model systems in condensed matter physics, materials science and biology. Statistical descriptors such as the $n$-body distribution function $g_n$ is usually employed to characterize the point configurations, among which the most extensively used is the pair distribution function $g_2$. An intriguing inverse problem of practical importance that has been receiving considerable attention is the degree to which a point configuration can be reconstructed from the pair distribution function of a target configuration. Although it is known that the pair-distance information contained in $g_2$ is in general insufficient to uniquely determine a point configuration, this concept does not seem to be widely appreciated and general claims of uniqueness of the reconstructions using pair information have been made based on numerical studies. In this paper, we introduce the idea of the distance space, called the $\mathbb{D}$ space. The pair distances of a specific point configuration are then represented by a single point in the $\mathbb{D}$ space. We derive the conditions on the pair distances that can be associated with a point configuration, which are equivalent to the realizability conditions of the pair distribution function $g_2$. Moreover, we derive the conditions on the pair distances that can be assembled into distinct configurations. These conditions define a bounded region in the $\mathbb{D}$ space. By explicitly constructing a variety of degenerate point configurations using the $\mathbb{D}$ space, we show that pair information is indeed insufficient to uniquely determine the configuration in general. We also discuss several important problems in statistical physics based on the $\mathbb{D}$ space.Comment: 28 pages, 8 figure

Sliding mode control of quantum systems

This paper proposes a new robust control method for quantum systems with uncertainties involving sliding mode control (SMC). Sliding mode control is a widely used approach in classical control theory and industrial applications. We show that SMC is also a useful method for robust control of quantum systems. In this paper, we define two specific classes of sliding modes (i.e., eigenstates and state subspaces) and propose two novel methods combining unitary control and periodic projective measurements for the design of quantum sliding mode control systems. Two examples including a two-level system and a three-level system are presented to demonstrate the proposed SMC method. One of main features of the proposed method is that the designed control laws can guarantee desired control performance in the presence of uncertainties in the system Hamiltonian. This sliding mode control approach provides a useful control theoretic tool for robust quantum information processing with uncertainties.Comment: 18 pages, 4 figure

Boundary lubrication with a glassy interface

Recently introduced constitutive equations for the rheology of dense, disordered materials are investigated in the context of stick-slip experiments in boundary lubrication. The model is based on a generalization of the shear transformation zone (STZ) theory, in which plastic deformation is represented by a population of mesoscopic regions which may undergo non affine deformations in response to stress. The generalization we study phenomenologically incorporates the effects of aging and glassy relaxation. Under experimental conditions associated with typical transitions from stick-slip to steady sliding and stop start tests, these effects can be dominant, although the full STZ description is necessary to account for more complex, chaotic transitions

Innovating Interdisciplinarity in Higher Education: Exploring the Impact of a Grassroots Community of Practice

Skills in interdisciplinary collaboration are required to address many complex problems facing society. As such, interdisciplinarity is a critical competency for students to develop. However, teachers’ effectiveness in teaching interdisciplinarity is often hindered by silo structures within university faculties. To address this in the Experts in Teamwork (EiT) programme, a MSc in a Norwegian university that develops students’ interdisciplinary teamwork skills through projects that address real-world challenges, a community of practice (CoP) evolved among teachers from different EiT classes. Over 20 months, CoP members participated in digital and in-person discussions, lecture exchanges, student and professional conferences, and co-evaluation of student work, with an aim of better understanding interdisciplinarity and approaches for teaching it to students. The success of the CoP in achieving these aims was evaluated through a series of focus groups consisting of members of the CoP. The CoP achieved some success in fostering pedagogical conversations that were transformative for participants’ understanding of interdisciplinarity in their practice. Participants reported that CoP participation influenced their interactions with students, ultimately helping students to develop a better understanding of interdisciplinarity. However, participants reported limitations in the CoP as a professional development resource, citing its newness and the required time commitment. Participants felt that these issues could be addressed via greater institutional support

In-plane polarized collective modes in detwinned YBa2_{2}Cu3_{3}O6.95_{6.95} observed by spectral ellipsometry

The in-plane dielectric response of detwinned YBa$_{2}$Cu$_{3}$O$_{6.95}$ has been studied by far-infared ellipsometry. A surprisingly lare number of in-plane polarized modes are observed. Some of them correspond to pure phonon modes. Others posses a large electronic contribution which strongly increases in the superconducting state. The free carrier response and the collective modes exhibit a pronounced a-b anisotropy. We discuss our results in terms of a CDW state in the 1-d CuO chains and induced charge density fluctuations within the 2-d CuO$_{2}$ planes

Cyclotron resonance in the layered perovskite superconductor Sr2RuO4

We report a detailed study of the magnetic-field-orientation dependence of the millimetre-wave magnetoconductivity of the superconductor Sr2RuO4 We find two harmonic series of cyclotron resonances. We assign the first, corresponding to a quasiparticle mass of $4.29 \pm 0.05 m_{\rm e}$, where $m_{\rm e}$ is the free-electron mass, to the $\beta$ Fermi-surface section. We assign the second series, which contains only odd harmonics, to cyclotron resonance of the $\gamma$ Fermi-surface section, yielding a quasiparticle mass of $12.35 \pm 0.20 m_{\rm e}$. A third, single cyclotron resonance, corresponding to a quasiparticle mass of $5.60 \pm 0.03 m_{\rm e}$, is attributed to the $\alpha$ Fermi-surface section. In addition, we find a very strong absorption mode in the presence of a magnetic field component parallel to the quasi-two-dimensional planes of the sample. Its dependence on the orientation of the magnetic field cannot be described in the context of conventional cyclotron resonance, and the origin of this mode is not yet clear.Comment: Submitted to J. Phys. Cond. Ma

Counterion adsorption on flexible polyelectrolytes: comparison of theories

Counterion adsorption on a flexible polyelectrolyte chain in a spherical cavity is considered by taking a "permuted" charge distribution on the chain so that the "adsorbed" counterions are allowed to move along the backbone. We compute the degree of ionization by using self-consistent field theory (SCFT) and compare with the previously developed variational theory. Analysis of various contributions to the free energy in both theories reveals that the equilibrium degree of ionization is attained mainly as an interplay of the adsorption energy of counterions on the backbone, the translational entropy of the small ions, and their correlated density fluctuations. Degree of ionization computed from SCFT is significantly lower than that from the variational formalism. The difference is entirely due to the density fluctuations of the small ions in the system, which are accounted for in the variational procedure. When these fluctuations are deliberately suppressed in the truncated variational procedure, there emerges a remarkable quantitative agreement in the various contributing factors to the equilibrium degree of ionization, in spite of the fundamental differences in the approximations and computational procedures used in these two schemes. Nevertheless, since the significant effects from density fluctuations of small ions are not captured by the SCFT, and due to the close agreement between SCFT and the other contributing factors in the more transparent variational procedure, the latter is a better computational tool for obtaining the degree of ionization