Ultrahigh Error Threshold for Surface Codes with Biased Noise

We show that a simple modification of the surface code can exhibit an enormous gain in the error correction threshold for a noise model in which Pauli Z errors occur more frequently than X or Y errors. Such biased noise, where dephasing dominates, is ubiquitous in many quantum architectures. In the limit of pure dephasing noise we find a threshold of 43.7(1)% using a tensor network decoder proposed by Bravyi, Suchara and Vargo. The threshold remains surprisingly large in the regime of realistic noise bias ratios, for example 28.2(2)% at a bias of 10. The performance is in fact at or near the hashing bound for all values of the bias. The modified surface code still uses only weight-4 stabilizers on a square lattice, but merely requires measuring products of Y instead of Z around the faces, as this doubles the number of useful syndrome bits associated with the dominant Z errors. Our results demonstrate that large efficiency gains can be found by appropriately tailoring codes and decoders to realistic noise models, even under the locality constraints of topological codes.Comment: 6 pages, 5 figures, comments welcome; v2 includes minor improvements to the numerical results, additional references, and an extended discussion; v3 published version (incorporating supplementary material into main body of paper

A Phenomenological Critique of the Idea of Social Science

Social science is in crisis. The task of social science is to study “man in situation”: to understand the world as it is for “man”. This thesis charges that this crisis consists in a failure to properly address the philosophical anthropological question “What is man?”. The various social scientific methodologies who have as their object “man” suffer rampant disagreements because they presuppose, rather than consider, what is meant by “man”. It is our intention to show that the root of the crisis is that social science can provide no formal definition of “man”. In order to understand this we propose a phenomenological analysis into the essence of social science. This phenomenological approach will give us reason to abandon the (sexist) word “man” and instead we will speak of wer: the beings which we are. That we have not used the more usual “human being” (or some equivalent) is due to the human prejudice which is one of the major constituents of this crisis we seek to analyse. This thesis is divided into two Parts: normative and evaluative. In the normative Part we will seek a clarification of both “phenomenology” and “social science”. Due to the various ways in which “phenomenology” has been invented we must secure a simipliciter definition of phenomenology as an approach to philosophical anthropology (Chapter 2). Importantly, we will show how the key instigators of the branches of phenomenology, Husserl, Scheler, Heidegger, and Sartre, were all engaged in this task. To clarify our phenomenology we will define the Phenomenological Movement according to various strictures by drawing on the work of Schutz and his notion of provinces of meaning (Chapter 3). This will then be carried forward to show how Schutz’s postulates of social science (with certain clarifications) constitute the eidetic structure of social science (Chapter 4). The eidetic structures of social science identified will prompt several challenges that will be addressed in the evaluative Part. Here we engage in an imperial argument to sort proper science from pseudo-science. The first challenge is the mistaken assumption that universities and democratic states make science possible (Chapter 5). Contra this, we argue that science is predicated on “spare time” and that much institutional “science” is not in fact science. The second challenge is the “humanist challenge”: there is no such thing as nonpractical knowledge (Chapter 6). Dealing with this will require a reconsideration of the epistemic status that science has and lead to the claim of epistemic inferiority. Having cut away pseudo-science we will be able to focus on the “social” of social science through a consideration of intersubjectivity (Chapter 7). Drawing on the above phenomenologists we will focus on how an Other is recognised as Other. Emphasising Sartre’s radical re-conception of “subject” and “object” we will argue that there can be no formal criteria for how this recognition occurs. By consequence we must begin to move away from the assumption of one life-world to various life-worlds, each constituted by different conceptions of wer

Rate constants and Arrhenius parameters for the reactions of OH radicals and Cl atoms with CF3CH2OCHF2, CF3CHClOCHF2 and CF3CH2OCClF2, using the discharge-flow/resonance fluorescence method

Rate constants have been determined for the reactions of OH radicals and Cl atoms with the three partially halogenated methyl-ethyl ethers, CF$_3$CH$_2$OCHF$_2$, CF$_3$CHClOCHF$_2$ and CF$_3$CH$_2$OCClF$_2$, using discharge-flow techniques to generate the OH radicals and the Cl atoms and resonance fluorescence to observe changes in their relative concentrations in the presence of added ether. For each combination of radical and ether, experiments were carried out at three temperatures between 292 and 410 K, yielding the following Arrhenius expressions for the rate constants within this range of temperature: OH + CF$_3$CH$_2$OCHF$_2$: $k$ = (2.0$\pm$0.8) $\times$ 10$^{-11}$ exp( – 2110 $\pm$ 150 K / T) cm$^3$ molecule$^{-1}$ s$^{-1}$ OH + CF$_3$CHClOCHF$_2$: $k$ = (4.5 $\pm$ 1.3) $\times$ 10$^{-13}$ exp( – 940 $\pm$ 100 K / T) cm$^3$ molecule$^{-1}$ s$^{-1}$ OH + CF$_3$CH$_2$OCClF$_2$: $k$ = (1.6 $\pm$ 0.6) $\times$ 10$^{-12}$ exp( – 1100 $\pm$ 125 K / T) cm$^3$ molecule$^{-1}$ s$^{-1}$ Cl + CF$_3$CH$_2$OCHF$_2$: $k$ = (6.1 $\pm$ 1.4) $\times$ 10$^{-12}$ exp( – 1830 $\pm$ 90 K / T) cm$^3$ molecule$^{-1}$ s$^{-1}$ Cl + CF$_3$CHClOCHF$_2$: $k$ = (7.8 $\pm$ 2.6) $\times$ 10$^{-11}$ exp( – 2980 $\pm$ 130 K / T) cm$^3$ molecule$^{-1}$ s$^{-1}$ Cl + CF$_3$CH$_2$OCClF$_2$: $k$ = (2.2 $\pm$ 0.2) $\times$ 10$^{-11}$ exp( – 2700 $\pm$ 40 K / T) cm$^3$ molecule$^{-1}$ s$^{-1}$ The results are compared with those obtained previously for the same and related reactions of OH radicals and Cl atoms, and the atmospheric implications of the results are considered briefly

News and narratives in financial systems: Exploiting big data for systemic risk assessment

This paper applies algorithmic analysis to financial market text-based data to assess how narratives and sentiment might drive financial system developments. We find changes in emotional content in narratives are highly correlated across data sources and show the formation (and subsequent collapse) of exuberance prior to the global financial crisis. Our metrics also have predictive power for other commonly used indicators of sentiment and appear to influence economic variables. A novel machine learning application also points towards increasing consensus around the strongly positive narrative prior to the crisis. Together, our metrics might help to warn about impending financial system distress

Sexual Harassment in Our Schools; and How to Stop Sexual Harassment in Our Schools [book reviews]

Book reviews of: Sexual Harassment in Our Schools: What Parents and Teachers Need to Know to Spot It and Stop It, by Robert J. Shoop and Jack W. Hayhow, Jr. ; and How to Stop Sexual Harassment in Our Schools: A Handbook and Curriculum Guide for Administrators and Teachers, by Robert J. Shoop and Debra J. Edwards

Selecting futures: The role of conviction, narratives, ambivalence, and constructive doubt

Institutional decisions about the future, that matter, are usually made in a context of considerable uncertainty. Although the intention is success the possibility of failure must inevitably be present, whether recognized or not. The principal purposes of this study are twofold. First, we argue that uncertainty contexts require that decisions to create the future are supported by a particular type of future oriented or foresight narrative which we call a conviction narrative. Its essential function is to combine available knowledge about how to achieve desired outcomes with the feeling that the selected action will achieve the aim. Second, we introduce two states, in which conviction may be achieved, divided, and integrated, to argue that research into how conviction is achieved by individuals or institutions making decisions, can be an extremely promising and practical avenue for foresight studies, throwing light on several issues, particularly the oft-noted reluctance to change course and attachment to single stories of the future. The focus on the reality of uncertainty and the two states in which it can be met, can also enhance the research and practice of narrative foresight, through more systematic theorization of the role of emotion and ambivalence in narrative thought and in the processes through which future-focused narratives generate action under uncertainty

Tailoring surface codes for highly biased noise

The surface code, with a simple modification, exhibits ultra-high error correction thresholds when the noise is biased towards dephasing. Here, we identify features of the surface code responsible for these ultra-high thresholds. We provide strong evidence that the threshold error rate of the surface code tracks the hashing bound exactly for all biases, and show how to exploit these features to achieve significant improvement in logical failure rate. First, we consider the infinite bias limit, meaning pure dephasing. We prove that the error threshold of the modified surface code for pure dephasing noise is $50\%$, i.e., that all qubits are fully dephased, and this threshold can be achieved by a polynomial time decoding algorithm. We demonstrate that the sub-threshold behavior of the code depends critically on the precise shape and boundary conditions of the code. That is, for rectangular surface codes with standard rough/smooth open boundaries, it is controlled by the parameter $g=\gcd(j,k)$, where $j$ and $k$ are dimensions of the surface code lattice. We demonstrate a significant improvement in logical failure rate with pure dephasing for co-prime codes that have $g=1$, and closely-related rotated codes, which have a modified boundary. The effect is dramatic: the same logical failure rate achievable with a square surface code and $n$ physical qubits can be obtained with a co-prime or rotated surface code using only $O(\sqrt{n})$ physical qubits. Finally, we use approximate maximum likelihood decoding to demonstrate that this improvement persists for a general Pauli noise biased towards dephasing. In particular, comparing with a square surface code, we observe a significant improvement in logical failure rate against biased noise using a rotated surface code with approximately half the number of physical qubits.Comment: 18+4 pages, 24 figures; v2 includes additional coauthor (ASD) and new results on the performance of surface codes in the finite-bias regime, obtained with beveled surface codes and an improved tensor network decoder; v3 published versio

Judgments in the Sharing Economy: The Effect of User-Generated Trust and Reputation Information on Decision-Making Accuracy and Bias

The growing ecosystem of peer-to-peer enterprise – the Sharing Economy (SE) – has brought with it a substantial change in how we access and provide goods and services. Within the SE, individuals make decisions based mainly on user-generated trust and reputation information (TRI). Recent research indicates that the use of such information tends to produce a positivity bias in the perceived trustworthiness of fellow users. Across two experimental studies performed on an artificial SE accommodation platform, we test whether users’ judgments can be accurate when presented with diagnostic information relating to the quality of the profiles they see or if these overly positive perceptions persist. In study 1, we find that users are quite accurate overall (70%) at determining the quality of a profile, both when presented with full profiles or with profiles where they selected three TRI elements they considered useful for their decisionmaking. However, users tended to exhibit an “upward quality bias” when making errors. In study 2, we leveraged patterns of frequently vs. infrequently selected TRI elements to understand whether users have insights into which are more diagnostic and find that presenting frequently selected TRI elements improved users’ accuracy. Overall, our studies demonstrate that – positivity bias notwithstanding – users can be remarkably accurate in their online SE judgments

Stepping across the line: Information sharing, truth-telling and the role of the personal carer in the Australian Nursing Home

The author draws on an Australian study using multiple qualitative methods to investigate truth telling in aged care. Thematic analysis of data from five nursing homes involving 23 personal care assistants revealed participants’ role understanding as influencing their perceptions about truth telling in practice. Five themes emerged: role as the happy comfort carer, division of labor, division of disclosure, role tension and frustration, and managing the division of disclosure. Role emphasis on comfort and happiness and a dominant perception that telling the truth can cause harm mean that disclosure will be withheld, edited, or partial. Participants’ role understanding divides labor and disclosure responsibility between the personal carer and registered nurse. Personal carers’ strategies for managing the division of disclosure include game playing, obfuscation, lying (denial), and the use of nonverbals. These perceptions about personal carer role, information sharing, and truth telling are paramount for understanding and improving nursing home eldercare