Optimal control of large quantum systems: assessing memory and runtime performance of GRAPE

Gradient Ascent Pulse Engineering (GRAPE) is a popular technique in quantum optimal control, and can be combined with automatic differentiation (AD) to facilitate on-the-fly evaluation of cost-function gradients. We illustrate that the convenience of AD comes at a significant memory cost due to the cumulative storage of a large number of states and propagators. For quantum systems of increasing Hilbert space size, this imposes a significant bottleneck. We revisit the strategy of hard-coding gradients in a scheme that fully avoids propagator storage and significantly reduces memory requirements. Separately, we present improvements to numerical state propagation to enhance runtime performance. We benchmark runtime and memory usage and compare this approach to AD-based implementations, with a focus on pushing towards larger Hilbert space sizes. The results confirm that the AD-free approach facilitates the application of optimal control for large quantum systems which would otherwise be difficult to tackle.Comment: 14 pages, 6 figures, 1 tabl

Does anger expression help or harm leader effectiveness? The role of competence-based versus integrity-based violations and abusive supervision

The question of how leaders’ expressions of anger influence their effectiveness has long intrigued researchers and practitioners. Drawing on emotions as social information theory, we suggest the effects of leaders’ expressions of anger depend on both the type of violation about which anger is expressed and the type of leader who expresses it. We test this in a series of studies using experimental and field methods. Study 1 shows that a leader’s anger expression in response to followers’ integrity-based violations enhances observers’ perceptions of leader effectiveness, whereas anger in response to followers’ competence-based violations diminishes observers’ perceptions of leader effectiveness. Study 2 shows that these divergent effects occur because anger in response to integrity-based violations elicits beneficial inferential reactions among followers who observed the anger, whereas anger in response to competence-based violations provokes harmful affective reactions. Study 3 demonstrates that the negative effects of anger expressed toward competence-based violations are exacerbated, and positive effects of anger expressed toward integrity-based violations weakened, when a leader is perceived as abusive. These findings help reconcile divergent perspectives on the effects of leader anger expression, suggesting that anger can enhance perceived leader effectiveness when expressed in the right situation and by the right person

Keeping the faith! Drivers of participation in spiritually-based communities

Spiritually based communities (SBCs) provide a range of economic and social benefits to society. Declining memberships prompt a need for greater understanding and insight into the factors that drive participation in these communities. This study provide

Optimal aeroassisted intercept trajectories at hyperbolic speeds

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/76250/1/AIAA-1989-3444-892.pd

Optimal aeroassisted intercept trajectories at hyperbolic speeds

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/76040/1/AIAA-20613-974.pd

Necessary conditions for maximax problems with application to aeroglide of hypervelocity vehicles

This paper presents the necessary conditions for solving Chebyshev minimax (or maximax) problems with bounded control. The jump conditions obtained are applicable to problems with single or multiple maxima. By using Contensou domain of maneuverability, it is shown that when the maxima are isolated single points the control is generally continuous at the jump point in the minimax problems and discontinuous in the maximax problems in which the first time derivative of the maximax function contains the control variable. The theory is applied to the problem of maximizing the flight radius in a closed circuit glide of a hypervelocity vehicle and to a maximax optimal control problem in which the control appears explicitly with the first time derivative of the maximax function.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/26695/1/0000243.pd

Minimax optimal control for atmospheric fly-through trajectories

Necessary conditions for minimax problems with isolated or flat maxima are presented. Some relevant properties concerning the peak heating rate and the peak deceleration during atmospheric entry are discussed. As application of the theory, the problem of minimizing the peak heating rate of a skip trajectory is solved with special emphasis on the discussion of the continuity of the life control at the point where the maximum occurs along the trajectory.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/45230/1/10957_2004_Article_BF00939328.pd

Facilitating student interaction capabilities: The interplay of individual, group and course-related factors

Marketing education increasingly recognizes the active role of students in their learning experience. Students co-create learning outcomes through interacting with course resources and other students. However, there is little understanding of the factors that support the development of students’ ability to interact in this learning environment. This paper examines the influence of individual and group characteristics that exist at group formation, on the development of the group and ultimately its interaction capabilities. We identify that individual goal orientation and motivation predict shared academic goals and commitment to learning. Over a period of time, these factors promote a shared vision and recognition of peer learning opportunities provided by the course, and subsequently drive student interaction capabilities. The results imply that in order to enhance interaction among students, marketing educators should focus efforts on developing peer learning opportunities and consider individual and group goals and commitment to learning when forming student groups.This work was supported by the University of Adelaide under Faculty of Professions, Learning & Teaching Grant

Transforming marketing education: Historical, contemporary and future perspectives

Welcome to this Special Issue on Marketing Education. From the initial call for papers associated with the 2017 ANZMAC conference, this special issue grew to attract international authors to tackle the topic of the future of marketing education. Marketing education is at an intersection where digital technologies, wide-scale social and financial disadvantage, industrial demands and the opening of educational systems to market dynamics are changing the practice and promise of higher education–and the very nature of operations (Levine, 2018)

Optimal control problems with maximum functional

Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/76172/1/AIAA-20777-321.pd