A q-analogue of Sudarshan’s diagonal representation of the Quantum Mechanical density matrix is obtained using q-boson coherent states. Earlier result of Mehta and Sudarshan on the self reproducing property of ρ(z, z) is also generalized and a self-consistent self-reproducing kernel K̃(z, z) is constructed. e-mail addresses: [email protected] ; [email protected] 1 A diagonal representati...

We raise the possibility of developing a theory of constructing quantum dynamical observables independent from quantization and deriving classical dynamical observables from pure quantum mechanical consideration. We do so by giving a detailed quantum mechanical derivation of the classical time of arrival at arbitrary arrival points for a particle in one dimension. E. A. Galapon J. Math. Phys. 4...

Quantum-mechanical devices have the potential to transform cryptography. Most research in this area has focused either on the information-theoretic advantages of quantum protocols or on the security of classical cryptographic schemes against quantum attacks. In this work, we initiate the study of another relevant topic: the encryption of quantum data in the computational setting. In this direct...

Background: Quantum dots are commonly composed of cadmium contained semiconductors. Cadmium is potentially hazardous but toxicity of such quantum dots is not yet systematically investigated. On the other hand, in vitro studies have shown almost complete control of CdSe induced cytotoxicity by ZnS coverage. Toxicity of CdSe quantum dots and controlling this toxicity by ZnS coverage in immature m...

Faster algorithms, novel cryptographic mechanisms, and alternative methods of communication become possible when the model underlying information and computation changes from a classical mechanical model to a quantum mechanical one. Quantum algorithms perform a select set of tasks vastly more efficiently than any classical algorithm, but for many tasks it has been proved that quantum algorithms...

1. Introduction In 1994 Shor discovered a quantum mechanical algorithm for factorization that was exponentially faster than any known classical algorithm [1]. This paper presents a quantum mechanical algorithm for search that is only polynomially faster than any classical algorithm; however, it does not depend for its impact on the unproven difficulty of the factorization problem. The search pr...

The 2013 Nobel Prize in Chemistry was awarded to the authors of the first two publications utilizing the concept of combined quantum mechanical and molecular mechanical (QM/MM) methods. In celebrating this great event in computational chemistry, we review the early development of combined QM/MM techniques and the associated events that took place through the mid-1990s. We also offer some prospe...