Wave Matrix Lindbladization II: General Lindbladians, Linear Combinations, and Polynomials

In this paper, we investigate the problem of simulating open system dynamics governed by the well-known Lindblad master equation. In our prequel paper, we introduced an input model in which Lindblad operators are encoded into pure quantum states, called program states, and we also introduced a method, called wave matrix Lindbladization, for simulating Lindbladian evolution by means of interacting the system of interest with these program states. Therein, we focused on a simple case in which the Lindbladian consists of only one Lindblad operator and a Hamiltonian. Here, we extend the method to simulating general Lindbladians and other cases in which a Lindblad operator is expressed as a linear combination or a polynomial of the operators encoded into the program states. We propose quantum algorithms for all these cases and also investigate their sample complexity, i.e., the number of program states needed to simulate a given Lindbladian evolution approximately. Finally, we demonstrate that our quantum algorithms provide an efficient route for simulating Lindbladian evolution relative to full tomography of encoded operators, by proving that the sample complexity for tomography is dependent on the dimension of the system, whereas the sample complexity of wave matrix Lindbladization is dimension independent.Comment: 59 pages, 11 figures, submission to the second journal special issue dedicated to the memory of G\"oran Lindblad, sequel to arXiv:2307.1493

Track Initiation of Low-Earth-Orbit Objects using Statistical Modeling of Sparse Observations

International audienceIn this paper, we investigate a new track initiation technique enabling the use of a low-cost radar system for Low-Earth-Orbit surveillance. This technique is based on a first association of observations with little ambiguity followed by a fast Initial Orbit Determination. This study supports the feasibility of the system as this technique shows a coverage of 84,4% within 6 days, with a combinatorial complexity kept under control when assessed in a realistic multitarget tracking context

Intention is commitment with expectation

Modal logics with possible worlds semantics can be used to represent mental states such as belief, goal, and intention, allowing one to formally describe the rational behavior of agents. Agent??s beliefs and goals are typically represented in these logics by primitive modal operators. However, the representation of agent??s intentions varies greatly between theories. Some logics characterize intention as a primitive operator, while others define intention in terms of more primitive constructs. Taking the latter approach is a theory due to Philip Cohen and Hector Levesque, under which intentions are a special form of commitment or persistent goal. The theory has motivated theories of speech acts and joint intention and innovative applications in multiagent systems and industrial robotics. However, Munindar Singh shows the theory to have certain logical inconsistencies and permit certain absurd scenarios. This thesis presents a modification of the theory that preserves the desirable aspects of the original while addressing the criticism of Singh. This is achieved by the introduction of an additional operator describing the achievement of expectations, refined assumptions, and new defi- nitions of intention. The modified theory gives a cogent account of the rational balance between agents?? action and deliberation, and suggests the use of meansends reasoning in agent implementations. A rule-based reasoner in Jess facilitates evaluation of the predictiveness and intuitiveness of the theory, and provides a prototypical agent based on the theory

The Chinese Diaspora and Philanthropy

This paper explores philanthropic links between the Chinese diaspora and the People's Republic of China. It draws on a wide range of sources and aims to sketch the range and nature of those links

The Ithacan, 2003-11-20

https://digitalcommons.ithaca.edu/ithacan_2003-4/1012/thumbnail.jp

Washington University Record, March 12, 1998

https://digitalcommons.wustl.edu/record/1786/thumbnail.jp

ABQ Free Press, January 28, 2015

https://digitalrepository.unm.edu/abq_free_press/1019/thumbnail.jp

Beyond The Phantom Edit: A Critical History and Practical Analysis of Fan Edits

Fan edits are essentially unauthorized alternative versions of films made by fans, whom I define as people with intense interest in films and related media. Unlike traditional film editing, which is characterized by a new assemblage of original film or video content, fan editing is a form of recombinant filmmaking that reactivates existing arrangements of audiovisual material. Fan edits are noncommercial transformative works that illustrate the mutability of digital cinema as well as the potential for new media artists, experimental filmmakers, and diverse critical voices to emerge from a networked public. The Phantom Edit (2000) is a seminal fan edit based on Star Wars Episode I: The Phantom Menace (1999) that established a model of production and distribution for fan edits. As a central research problem, this study recognizes that the failure of previous scholarship to account accurately for the history of The Phantom Edit, as well as an evident lack of close engagement with contemporary fan edits, have hindered the ability of scholars to grapple with significant developments in fan edit culture. In general, film and media studies have failed to account for both The Phantom Edit and nearly two decades of progressive work. This study builds upon the limits of previous scholarship in order to illustrate a historical trajectory of fan editing from The Phantom Edit to its more diverse present state, which is exemplified by Raising Cain: Re-cut (2012), a fan edit based on Raising Cain (1992) that was eventually endorsed by Brian De Palma and sold as the official director’s cut. Furthermore, this study examines practical trends of fan edits and effective means of classification. Combining archival research, interviews, practical fan editing experience, and textual analysis of fan edits collected over several years of participation in the fan editing community, this study offers a foundation of knowledge about the technology, legal contexts, and cultural practice of fan edits

Sandspur, Vol 120, No 03, September 19, 2013

Rollins College student newspaper, written by the students and published at Rollins College. The Sandspur started as a literary journal.https://stars.library.ucf.edu/cfm-sandspur/2974/thumbnail.jp

2013 Founder\u27s Day Program

Program of the 2013 Founder\u27s Day.https://ir.library.illinoisstate.edu/founding/1244/thumbnail.jp