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... systems are analyzed as networks of Quantum nodes that coordinate and carry out computation without any centralized observation. In the literature, both continuous time and discrete time models have been considered for analysis of the consensus algorithm over quantum networks. In [28, 29, 30, 19], a ...
... systems are analyzed as networks of Quantum nodes that coordinate and carry out computation without any centralized observation. In the literature, both continuous time and discrete time models have been considered for analysis of the consensus algorithm over quantum networks. In [28, 29, 30, 19], a ...
Path integral for the quantum harmonic oscillator using elementary
... The motivation for their work was ‘‘to introduce a formulation of quantum mechanics which is usually considered beyond the scope of most undergraduate courses.’’ We agree with these authors that it is of interest to make alternative approaches to quantum mechanics accessible to the undergraduate. We ...
... The motivation for their work was ‘‘to introduce a formulation of quantum mechanics which is usually considered beyond the scope of most undergraduate courses.’’ We agree with these authors that it is of interest to make alternative approaches to quantum mechanics accessible to the undergraduate. We ...
On Quantum Simulators and Adiabatic Quantum Algorithms
... classical search algorithms and Hallgren’s quantum algorithm [6] for Pell’s equation1 which is exponentially faster than any known classical algorithm. Quantum mechanics, in so far as it is a complete natural theory, describes every physical computing device and, so, even classical computers. Theref ...
... classical search algorithms and Hallgren’s quantum algorithm [6] for Pell’s equation1 which is exponentially faster than any known classical algorithm. Quantum mechanics, in so far as it is a complete natural theory, describes every physical computing device and, so, even classical computers. Theref ...
Quantum Hall Effects and Related Topics International Symposium
... Electrons moving in a periodic electric potential form Bloch energy bands where the mass of electrons are effectively changed. In a strong magnetic field, the cyclotron orbits of free electrons are quantized and Landau levels forms with a massive degeneracy within. In 1976, Hofstadter showed that for ...
... Electrons moving in a periodic electric potential form Bloch energy bands where the mass of electrons are effectively changed. In a strong magnetic field, the cyclotron orbits of free electrons are quantized and Landau levels forms with a massive degeneracy within. In 1976, Hofstadter showed that for ...
Observation of Quantum Oscillations between a Josephson Phase Qubit
... probability was previously measured by applying microwaves at a frequency !31 for a duration of 80 –100 ns. If the qubit is initially in state j1i, the !31 signal causes a transition to state j3i, quickly followed by the qubit tunneling into the right-hand well. In this way, the qubit measurement co ...
... probability was previously measured by applying microwaves at a frequency !31 for a duration of 80 –100 ns. If the qubit is initially in state j1i, the !31 signal causes a transition to state j3i, quickly followed by the qubit tunneling into the right-hand well. In this way, the qubit measurement co ...
Quantum Mechanics
... consistent, anomaly-free perturbative calculations in a non-abelian gauge theory. It is due to C. M. Becchi, A. Rouet, R. Stora and I. V. Tyutin. In the BRST approach, one selects a perturbation-friendly gauge fixing procedure for the action principle of a gauge theory using the differential geometr ...
... consistent, anomaly-free perturbative calculations in a non-abelian gauge theory. It is due to C. M. Becchi, A. Rouet, R. Stora and I. V. Tyutin. In the BRST approach, one selects a perturbation-friendly gauge fixing procedure for the action principle of a gauge theory using the differential geometr ...
Past Research
... I work on the cohomology, structure, and representations of various types of rings, such as Hopf algebras and group-graded algebras. My research program has involved collaborations with many mathematicians, including work with postdocs and graduate students. Below is a summary of some of my past res ...
... I work on the cohomology, structure, and representations of various types of rings, such as Hopf algebras and group-graded algebras. My research program has involved collaborations with many mathematicians, including work with postdocs and graduate students. Below is a summary of some of my past res ...
Turing Machines
... established laws of classical physics and called for a radically different way of thinking --this led to the development of Quantum Mechanics which is today regarded as the fundamental theory of Nature The price to be paid for this powerful tool is that some of the predictions that Quantum Mechanics ...
... established laws of classical physics and called for a radically different way of thinking --this led to the development of Quantum Mechanics which is today regarded as the fundamental theory of Nature The price to be paid for this powerful tool is that some of the predictions that Quantum Mechanics ...
Lecture Notes for Physics 229: Quantum Information and Computation
... These properties of quantum information are important, but the really deep way in which quantum information di ers from classical information emerged from the work of John Bell (1964), who showed that the predictions of quantum mechanics cannot be reproduced by any local hidden variable theory. Bell ...
... These properties of quantum information are important, but the really deep way in which quantum information di ers from classical information emerged from the work of John Bell (1964), who showed that the predictions of quantum mechanics cannot be reproduced by any local hidden variable theory. Bell ...
Public Keys and Private Keys Quantum Cryptography
... Quantum private keys. In this part we examine the possibility to design quantum key distribution protocols with the same simplicity, but with improved level of security, with respect to today’s common single photon protocols, such as BB84 and the six-state protocol [16, 22, 7]. In particular, we se ...
... Quantum private keys. In this part we examine the possibility to design quantum key distribution protocols with the same simplicity, but with improved level of security, with respect to today’s common single photon protocols, such as BB84 and the six-state protocol [16, 22, 7]. In particular, we se ...