LECTURES & CONTRIBURED TALKS

INVITED TALKS

  1. Paul Busch (University of York, UK), "Topics in Operational Quantum Physics"

  2. Bob Coecke (Oxford University, UK), "The Three Faces of Diagrammatic Quantum Reasoning: Operationalism, Categorical Algebra & Linear Logic"

  3. Andreas Doering (Imperial College, UK), "Topos Theory in the Foundations of Physics"

  4. Dagomir Kaszlikowski (Centre for Quantum Technologies, NUS, Singapore)- "Entanglement in Complex Systems"

  5. Karl Svozil (Technische Universitat Wien, Austria), "Quantum Logic"

 

CONTRIBUTED TALKS

Bil Name & Title of talk Abstract
1. S. Twareque Ali, "Coherent States and Bayesian Statistics" This talk will focus on some recent work in which it has been
demonstrated how large classes of discrete and continuous statistical distributions can naturally be subsumed in certain quantum mechanical coherent states and hence into positive operator valued measures. Each family of coherent states contains, in a sort of duality, a discrete probability distribution and a discretely parametrized family of
continuous distributions. This situation is reflective of an analogous duality in Bayesian statistics, with the quantum probability distribution then appearing as a sort of quantization of the underlying classical
statistics.
2. R.Roknizadeh, "Coherent States in Nanostructures"

Recent progress in growth techniques and development of micromachinig technology in designing mesoscopic systems and nanostructures have led to intensive theoretical and experimental investigations on electronic and optical properties of those systems. The most important point about the nano-scale structures is the quantum confinement effects that play the center-stone role.

In general, the quantum confinement leads to the appearance of new phenomena which are interested in recent applications of  artificial physical systems (quantum dots, quantum wires and quantum wells). In recent years we have used the (nonlinear) coherent states approach to investigate some quantum optical phenomena of nanostructures such as : Quantization of electromagnetic fields in the presence of nanostructures; Generation and detection of light emitted by nanostructures; Confinement effects on field properties generated by a nanostructures; Decoherence and quantum quality of Nanostructures; and Behavior of  careers in nanostructures.
3. Miroslav Englis,"Toeplitz Quantization on Real Symmetric Domain" An~analogue of the Berezin-Toeplitz star product, familiar from deformation quantization, is~studied in the setting of real bounded symmetric domains. The~analogue turns out to be a certain invariant operator, which one might call \emph{star restriction}, from functions on the complexification of the domain into functions on the domain itself. In~particular, we~establish the usual (i.e.~semiclassical) asymptotic expansion of this star restriction, and describe real-variable analogues of several other results.
4. Massoud Amini " Hidden Sub-hypergroup Problem" The Hidden Subgroup Problem is used in many quantum algorithms such as Simon's algorithm and Shor's factoring and discrete log algorithms. A polynomial time solution is known in case of abelian groups, and normal subgroups of arbitrary finite groups. The general case is still open. An efficient solution of the problem for symmetric group $S_n$ would give rise to an efficient quantum algorithm for Graph Isomorphism Problem. We formulate and solve a hidden sub-hypergroup problem for finite hypergroups and solve it or commutative hypergroups. This is a joint work with Mehrdad Kalantar and Mahmood M. Roozbehani.
5. Takayuki Miyadera " Uncertainty Principle for Simultaneous Measurement of POVMs" A limitation on simultaneous measurement of two arbitrary positive operator valued measures is discussed. In general, simultaneous measurement of two noncommutative observables is only approximately possible. Following Werner's formulation, we introduce a distance between observables to quantify an accuracy of measurement. We derive an inequality that relates the achievable accuracy with noncommutativity between two observables. As a byproduct a necessary condition for two positive operator valued measures to be simultaneously measurable is obtained.
6. Prasun Chakrabarti "Enhancement of Security Level in Quantum Technology by Automatic Variable Key (AVK)" In order to solve key distribution problem, use of quantum channel for sending information about key is being explored. A single photon can represent a bit 0  or 1. The phase or state of polarization of the photon may be used for identifying the 0 or 1. In this section  it has been shown that security enhancement through quantum channels can be ensured by varying the key, that is, changing the phase using non-orthogonal measurement bases The paper actually depicts several methods regarding transmission of data (photons) through quantum channel. It has been seen that the most secured criteria is variable data with variable secret key with message transmission mode also being variable (i.e. both transmitter and receiver to use non-orthogonal measurement bases.).
7. Bill Edwards "Spek, Stab and Hidden Variables" Rob Spekkens has recently proposed a toy model which replicates many features of quantum mechanics. I will discuss how this toy theory can be accommodated within Abramsky and Coecke's categorical approach to QM. Since Spekkens's model is essentially a local hidden variable theory, this
work helps point the way towards a categorical characterisation of local hidden variables.
8. Yun Kwong Kim "Thightness for a Sequence of Fuzzy Set Valued Random Variables"

The theory of fuzzy sets introduced by Zadeh has been extensively studied and applied in statistics and probability areas in recent years because of its usefulness in several applied fields. Indeed, we are often faced with random experiments whose outcomes are not numbers but are expressed in inexact linguistic terms. By inexactness here we mean non-statistical inexactness due to the subjectivity and imprecision of human knowledge. A possible way of handling "inexact data" is using the concepts of fuzzy set valued random variables (briefly, fuzzy random variable). The concept of tightness for fuzzy random variables was firstly introduced by Inoue in order to obtain strong law of large numbers for fuzzy random variables. Recently, Joo and Kim introduced a new concept of tightness for fuzzy random variables in order to study convergence in distribution of fuzzy random variables. By the way, it is possible to define several concepts of tightness for fuzzy random variables, since there are many useful metrics defined on the space of fuzzy sets.  In this talk, several concepts of tightness for fuzzy random variables are introduced and the relationships between their concepts are discussed.