The Coherent Parity Check Framework for Quantum Error Correction

Quantum error correction protocols are an essential element in the design of any circuit-model quantum computer. In this thesis, I introduce the coherent parity check (CPC) framework for quantum error correction. CPC codes have a fundamental structure in which quantum parity check measurements are stored coherently and compared over time. The specific advantage of the CPC code structure is that it provides a way of creating new stabilizer codes from the starting point of any sequence of parity checks. I show that this freedom in the choice of parity checks can be used to derive methods for the construction of distance-three quantum codes based on almost any distance-three classical code. The CPC framework has further applications in machine search routines for code discovery, as well as in the design of bespoke codes tailored for the demands of a given device. Another feature of CPC codes is that they can be represented as factor graphs of the type commonly seen in classical error correction and machine learning. I outline a procedure for this mapping, and demonstrate how a quantum code can be derived by manipulating its factor graph representation. The aim of the factor graph mapping for CPC codes is to make it easier to adapt well-developed techniques from classical information theory for use with quantum codes. This will make the CPC framework a useful tool for the theoretical and practical study of quantum error correction codes as large-scale quantum computers move closer to becoming a reality

Unknotting night-time muscle cramp: a survey of patient experience, help-seeking behaviour and perceived treatment effectiveness

Background: Night-time calf cramping affects approximately 1 in 3 adults. The aim of this study was to explore the experience of night-time calf cramp; if and where people seek treatment advice; and perceived treatment effectiveness. Methods: 80 adults who experienced night-time calf cramp at least once per week were recruited from the Hunter region, NSW, Australia through newspaper, radio and television advertisements. All participants completed a pilot-tested survey about muscle cramp. Quantitative data were analysed with independent-sample t-tests, Chi square tests and Fisher’s tests. Qualitative data were transcribed and sorted into categories to identify themes. Results: Median recalled age of first night-time calf cramp was 50 years. Most participants recalled being awoken from sleep by cramping, and experiencing cramping of either calf muscle, calf-muscle soreness in the days following cramp and cramping during day-time. Despite current therapies, mean usual pain intensity was 66 mm on a 100 mm visual analogue scale. Participants described their cramps as being ‘unbearable’, ‘unmanageable’ and ‘cruel’. One participant stated that ‘sometimes I just wish I could cut my legs open’ and another reported ‘getting about 2h sleep a night due to cramps’. Most participants had sought advice about their night-time calf cramps from a health professional. Participants identified 49 different interventions used to prevent night-time calf cramp. Of all treatment ratings, 68% described the intervention used to prevent cramp as being ‘useless’ or of ‘a little help’. Of 14 participants who provided additional information regarding their use of quinine, eight had a current prescription of quinine for muscle cramp at the time of the survey. None had been asked by their prescribing doctor to stop using quinine. Conclusion: Night time calf cramps typically woke sufferers from sleep, affected either leg and caused ongoing pain. Most participants experienced little or no relief with current therapies used to prevent muscle cramp. Most people who were taking quinine for muscle cramp were unaware that the Australian Therapeutic Goods Administration withdrew support of quinine for muscle cramp in 2004 due to the risk of thrombocytopaenia. Case-control studies are required to identify therapeutic targets so that clinical trials can evaluate safe interventions to prevent recurrent cramp

Myocardial extravascular extracellular volume fraction measurement by gadolinium cardiovascular magnetic resonance in humans: slow infusion versus bolus

<p>Abstract</p> <p>Background</p> <p>Myocardial extravascular extracellular volume fraction (Ve) measures quantify diffuse fibrosis not readily detectable by conventional late gadolinium (Gd) enhancement (LGE). Ve measurement requires steady state equilibrium between plasma and interstitial Gd contrast. While a constant infusion produces steady state, it is unclear whether a simple bolus can do the same. Given the relatively slow clearance of Gd, we hypothesized that a bolus technique accurately measures Ve, thus facilitating integration of myocardial fibrosis quantification into cardiovascular magnetic resonance (CMR) workflow routines. Assuming equivalence between techniques, we further hypothesized that Ve measures would be reproducible across scans.</p> <p>Methods</p> <p>In 10 volunteers (ages 20-81, median 33 yr, 3 females), we compared serial Ve measures from a single short axis slice from two scans: first, during a constant infusion, and second, 12-50 min after a bolus (0.2 mmol/kg gadoteridol) on another day. Steady state during infusion was defined when serial blood and myocardial T1 data varied <5%. We measured T1 on a 1.5 T Siemens scanner using a single-shot modified Look Locker inversion recovery sequence (MOLLI) with balanced SSFP. To shorten breath hold times, T1 values were measured with a shorter sampling scheme that was validated with spin echo relaxometry (TR = 15 sec) in CuSO4-Agar phantoms. Serial infusion vs. bolus Ve measures (n = 205) from the 10 subjects were compared with generalized estimating equations (GEE) with exchangeable correlation matrices. LGE images were also acquired 12-30 minutes after the bolus.</p> <p>Results</p> <p>No subject exhibited LGE near the short axis slices where Ve was measured. The Ve range was 19.3-29.2% and 18.4-29.1% by constant infusion and bolus, respectively. In GEE models, serial Ve measures by constant infusion and bolus did not differ significantly (difference = 0.1%, p = 0.38). For both techniques, Ve was strongly related to age (p < 0.01 for both) in GEE models, even after adjusting for heart rate. Both techniques identically sorted older individuals with higher mean Ve values.</p> <p>Conclusion</p> <p>Myocardial Ve can be measured reliably and accurately 12-50 minutes after a simple bolus. Ve measures are also reproducible across CMR scans. Ve estimation can be integrated into CMR workflow easily, which may simplify research applications involving the quantification of myocardial fibrosis.</p

Outcomes of Nonagenarians with Acute Ischemic Stroke Treated with Intravenous Thrombolytics

BackgroundNonagenarians are under-represented in thrombolytic trials for acute ischemic stroke (AIS). The effectiveness of intravenous thrombolytics in nonagenarians in terms of safety and outcome is not well established.Materials and MethodsWe used a multinational registry to identify patients aged 90 years or older with good baseline functional status who presented with AIS. Differences in outcomes—disability level at 90 days, frequency of symptomatic intracerebral hemorrhage (sICH), and mortality—between patients who did and did not receive thrombolytics were assessed using multivariable logistic regression, adjusted for prespecified prognostic factors. Coarsened exact matching (CEM) was utilized before evaluating outcome by balancing both groups in the sensitivity analysis.ResultsWe identified 227 previously independent nonagenarians with AIS; 122 received intravenous thrombolytics and 105 did not. In the unmatched cohort, ordinal analysis showed a significant treatment effect (adjusted common odds ratio [OR]: .61, 95% confidence interval [CI]: .39-.96). There was an absolute difference of 8.1% in the rate of excellent outcome in favor of thrombolysis (17.4% versus 9.3%; adjusted ratio: .30, 95% CI: .12-.77). Rates of sICH and in-hospital mortality were not different. Similarly, in the matched cohort, CEM analysis showed a shift in the primary outcome distribution in favor of thrombolysis (adjusted common OR: .45, 95% CI: .26-.76).ConclusionsNonagenarians treated with thrombolytics showed lower stroke-related disability at 90 days than those not treated, without significant difference in sICH and in-hospital mortality rates. These observations cannot exclude a residual confounding effect, but provide evidence that thrombolytics should not be withheld from nonagenarians because of age alone