This thesis is divided into two parts. In Part I we introduce a new formalism for quantum strategies, which specify the actions of one party in any multi-party interaction involving the exchange of multiple quantum messages among the parties. This formalism associates with each strategy a single positive semidefinite operator acting only upon the tensor product of the input and output message spaces for the strategy. We establish three fundamental properties of this new representation for quantum strategies and we list several applications, including a quantum version of von Neumann's celebrated 1928 Min-Max Theorem for zero-sum games and an efficient algorithm for computing the value of such a game. In Part II we establish several properties of a class of quantum operations that can be implemented locally with shared quantum entanglement or classical randomness. In particular, we establish the existence of a ball of local operations with shared randomness lying within the space spanned by the no-signaling operations and centred at the completely noisy channel. The existence of this ball is employed to prove that the weak membership problem for local operations with shared entanglement is strongly NP-hard. We also provide characterizations of local operations in terms of linear functionals that are positive and "completely" positive on a certain cone of Hermitian operators, under a natural notion of complete positivity appropriate to that cone. We end the thesis with a discussion of the properties of no-signaling quantum operations.

This dissertation presents investigations on dynamics of discrete-time quantum walk and some of its applications. Quantum walks has been exploited as an useful tool for quantum algorithms in quantum computing. Beyond quantum computational purposes, it has been used to explain and control the dynamics in various physical systems. In order to use the quantum walk to its fullest potential, it is important to know and optimize the properties purely due to quantum dynamics and in presence of noise. Various studies of its dynamics in the absence and presence of noise have been reported. We propose new approaches to optimize the dynamics, discuss symmetries and effect of noise on the quantum walk. Making use of its properties, we propose the use of quantum walk as an efficient new tool for various applications in physical systems and quantum information processing. In the first and second part of this dissertation, we discuss evolution process of the quantum walks, propose and demonstrate the optimization of discrete-time quantum walk using quantum coin operation from SU(2) group and discuss some of its properties. We investigate symmetry operations and environmental effects on dynamics of the walk on a line and an $n-$cycle highlighting the interplay between noise and topology. Using the properties and behavior of quantum walk discussed in part two, in part three we propose the application of quantum walk to realize quantum phase transition in optical lattice, that is to efficiently control and redistribute ultracold atoms in optical lattice. We also discuss the implementation scheme. Another application we consider is creation of spatial entanglement using quantum walk on a quantum many body system.

The setup in which two quantum systems, Alice and Bob, communicate using bosonic field quanta can be viewed as a prototype for wireless quantum communication. In this thesis we focus on the most basic case, where Alice and Bob are modeled as Unruh-DeWitt detectors, i.e., as two-level quantum systems that interact locally through a scalar quantum field. Our aim is to study how information propagation and entanglement generation between the two detectors are impacted by both relativity and by the unavoidable noise that is due to the quantum fluctuations of the field. We start by studying information propagation between the two detectors. Concretely, we construct and study the information-theoretic quantum channel, ξ, i.e., the completely positive trace preserving map between the input density matrix ϱ, in which Alice prepares her detector for the emission, and the output density matrix ϱ '=ξ(ϱ) of Bob's detector at a later time. We confirm that the classical as well as the quantum channel capacity are strictly zero to all orders in perturbation theory for spacelike separations. We then study entanglement generation between the two detectors. Specifically, we discuss how two Unruh-DeWitt detectors can extract entanglement from the vacuum. We show that the detectors can naturally and instantaneously become entangled through a Casimir-Polder effect. We then analyze the impact of various additions to this setup, such as the presence of a weak gravitational field, the presence of boundary conditions in the field, the presence of a weak classical potential, etc.

Despite decades of protection, the endangered North Atlantic right whale (Eubalaena glacialis) has failed to recover, primarily due to interactions with fishing gear and ship strikes. Right whales range along the U.S. east coast, foraging year round in the Gulf of Maine while a subset of the population travels to the South Atlantic Bight each year to calve. The habitat requirements of the right whale are poorly understood. I investigated the relationship between the distribution of right whales and physical oceanographic conditions in an effort to create predictive models of essential right whale habitats. Additionally, the distribution of right and humpback whales (Megaptera novaeangliae) relative to fixed fishing gear was examined to assess spatio-temporal overlap. Habitat preferences were assessed using aerial survey data of whale locations and a range of topological and satellite derived physical parameters including bathymetry, sediment type, sea surface temperature, thermal gradients and surface roughness. A suite of non-parametric quantitative techniques including Mantel tests, log likelihood functions, Generalized Additive Models, Spearman Rank Correlations and the Williamson's spatial overlap index were used to assess relationships between whales and habitat variables. Our findings indicate that suitable calving habitat along the east coast may extend much farther to the north than is currently recognized. Our model correctly identified several well documented current and historic calving grounds in the eastern Atlantic but failed to fully identify a heavily used calving area off Argentina, which is characterized by lower surface water temperatures than the other calving regions. In the Gulf of Maine, right whale distribution was correlated primarily with sea surface temperature, sediment type and bathymetry. Predictive models offered insights into right whale habitat preferences for foraging but failed to wholly capture the physical factors underlying right whale distribution. I found the relative density of right and humpback whales and fixed fishing gear in the Gulf of Maine to be negatively correlated in most seasons and areas. These findings demonstrate that the regular co-occurrence of high densities of whales and gear is not a prerequisite for entanglement. Prohibiting entangling lines in areas where whales are known to forage could substantively reduce entanglement. / Dissertation

Molecular photoabsorption enhancement under ambient solar radiations can improve efficiency substantially in renewable energy production. Here, we explore the theoretical basis and experimental evidences that nanostructured molecular assemblies exhibit an unprecedented property of synergistic photon absorption enhancement. The molecular mechanism of this enhancement phenomenon originates from the combined effect of the photon-molecule interaction and the electronic energy transfer between two adjacent molecular assemblies. For a natural system, the synergistic photon absorption enhancement factor of green algae (Chlorella vulgaris) in vivo at 632.8 nm was determined to be 103. This enhanced photon absorption process in nanostructured molecular assemblies opens a doorway to create entangled double excitons by incoherent solar radiations.

The main subject of this thesis is the investigation of the transformations of pure multipartite entangled states having Schmidt rank 2 by using only local operations assisted with classical communications (LOCC). A new parameterization is used for describing the entangled state of p particles distributed to p distant, spatially separated persons. Product, bipartite and truly multipartite states are identified in this new parametrization. Moreover, alternative parameterizations of local operations carried out by each party are provided. For the case of a deterministic transformation to a truly multipartite final state, one can find an analytic expression that determines whether such a transformation is possible. In this case, a chain of measurements by each party for carrying out the transformation is found. It can also be seen that, under deterministic LOCC transformations, there are some quantities that remain invariant. For the purpose of applying the results of this thesis in the context of the quantum information and computation, brief reviews of the entanglement purification, measurement based quantum computation and quantum codes are given.

This dissertation has three parts. In "Quantum Entanglement, Bohmian Mechanics, and Humean Supervenience," I defend David Lewis's metaphysical doctrine of Humean supervenience, and traditional metaphysical reductionism more generally, against an alleged holistic threat encapsulated in the non-separability argument from quantum entanglement. I argue that, contrary to popular belief, realism about quantum mechanics is compatible with Humean reductionism. / Philosophy

The setup in which two quantum systems, Alice and Bob, communicate using bosonic field quanta can be viewed as a prototype for wireless quantum communication. In this thesis we focus on the most basic case, where Alice and Bob are modeled as Unruh-DeWitt detectors, i.e., as two-level quantum systems that interact locally through a scalar quantum field. Our aim is to study how information propagation and entanglement generation between the two detectors are impacted by both relativity and by the unavoidable noise that is due to the quantum fluctuations of the field. We start by studying information propagation between the two detectors. Concretely, we construct and study the information-theoretic quantum channel, ξ, i.e., the completely positive trace preserving map between the input density matrix ϱ, in which Alice prepares her detector for the emission, and the output density matrix ϱ '=ξ(ϱ) of Bob's detector at a later time. We confirm that the classical as well as the quantum channel capacity are strictly zero to all orders in perturbation theory for spacelike separations. We then study entanglement generation between the two detectors. Specifically, we discuss how two Unruh-DeWitt detectors can extract entanglement from the vacuum. We show that the detectors can naturally and instantaneously become entangled through a Casimir-Polder effect. We then analyze the impact of various additions to this setup, such as the presence of a weak gravitational field, the presence of boundary conditions in the field, the presence of a weak classical potential, etc.

Two chlorophylls of the FMO complex, the light-harvesting complex of the green sulfur bacteria, are modeled as two coupled qubits, each surrounded by one spin-bath simulating the environment. The dynamics of the system at a non-zero temperature provide exact analytical expressions for the transition probability and the coherence. It is shown that the decoherence-inducing interaction with the environment enhances the electronic energy transfer. Also the correlations in terms of entanglement and nonlocality are quantitatively studied, sensitively differing when introducing a decay term to resemble both chlorophylls being in their ground states. It is proved that nonlocality is a stronger form of correlation than entanglement.

National and international crises in the early 21st Century, whether natural, technological or man-made, emphasize the need for highly reliable organizations (HROs) to conduct emergency response in a relatively error-free way. Urban search and rescue units provide a pivotal intermittent role in these high-risk environments. Traditional HRO research focuses on a concept known as "collective mind" -- heedful interactions of responders that accomplish reliability. Rather than focusing on collective mind, this study uses a practice-based communication approach to examine the material interplay of bodies, objects, and sites using ethnography and grounded theory. In-depth interviews, participant observations, and organizational documents were coded and contrasted to find patterns in material interplay. More specifically, this study examines how these material features interact to orchestrate reliable practices through ecological coherence, a bonding of multiple forces to construct meaning and improvisation. The study has implication for HRO theory through focusing on the role of the body rather than emphasizing cognitive judgment in collective action. Collective body shifts the discussion of mindful processes to embodied practices and offers insights into the ways responders enact safety and perform responses in dynamic, high-risk environments.