Macquarie Home | Course Handbook | Library | Campus Map | Contacts

Student Portal | Staff | Online Units | E-Student
Sep 05
Sunday
Search
Search Only:

Search Keyword fields

Total: 65 results found.

Page 1 of 4
... can be used to transport continuous variable quantum states. A physical realization is proposed where it is shown how the quantum states of the microwave fields held in a chain of driven superconducting ...
Quantum computation promises to solve fundamental, yet otherwise intractable, problems across a range of active fields of research. Recently, universal quantum logic-gate sets-the elemental building blocks ...
Given two sets A, B subset of F-q of elements of the finite field F-q of q elements, we show that the product set AB= \ contains an arithmetic progression of length k >= 3 provided that k < p, where p ...
We view an algebraic curve over Q as providing a one-parameter family of number fields and obtain bounds for the average value of some standard prime ideal counting functions over these families which ...
... to obtain upper bounds for the Lang-Trotter conjectures on Frobenius traces and Frobenius fields ``on average'' over a one-parametric family of elliptic curves. ...
We use a result of Y Furuta to show that for almost all positive integers m, the cyclotomic field Q(exp(2 pi i/m)) has an infinite Hilbert p-class field tower with high rank Galois groups at each step, ...
8. On quadratic fields generated by polynomials
(Uncategorized/Publication)
... formula for the number of distinct fields among Q(root center dot(center dot)) for center dot is an element of\ has recently been given by Cutter, Granville, and Tucker. We use bounds for character sums ...
We consider the equation ab + cd = lambda, a is an element of A, b is an element of B, c is an element of C, d is an element of D, over a finite field F-q of q elements, with variables from arbitrary sets ...
... to average orders of elements in finite fields. (c) 2006 Elsevier Inc. All rights reserved. ...
... ground state molecule. Interactions are induced using a microwave field to mix ground states in one hyperfine manifold with the spin entangled dipole-dipole coupled excited states. Using multiple fields, ...
... large. We also obtain an asymptotic formula for the number of distinct quadratic number fields generated by the endomorphism rings of all elliptic curves over F-p. ...
For a prime p, we consider some natural classes of matrices over a finite field F-p of p elements, such as matrices of given rank or with characteristic polynomial having irreducible divisors of prescribed ...
Given two sets A, B subset of F-q(d), the set of d dimensional vectors over the finite field F-q with q elements, we show that the sumset A+B= \ contains a geometric progression of length k of the form ...
Here, we improve our previous bound on the number of finite fields over which elliptical curves of cryptographic interest with a given embedding degree and small complex multiplication discrimination may ...
We use character sums to confirm several recent conjectures of V. I. Arnold on the uniformity of distribution properties of a certain dynamical system in a finite field. On the other hand, we show that ...
We consider the problem of determining the period of a sequence over an unknown finite field, given a black-box which returns only a few most significant bits of the sequence elements. For sequences with ...
The interaction of a five-level atomic system involving electromagnetically induced transparency with four light fields is investigated. Two different operating regimes are considered, semi-classical and ...
... atoms coupled to two quantum and two classical light fields. The two quantum fields undergo cross-phase modulation induced by electromagnetically induced transparency. The performance of this two-qubit ...
The interaction of a five-level atomic system involving electromagnetically induced transparency with four light fields is investigated. Two different light-atom configurations are considered, and their ...
<< Start < Prev 1 2 3 4 Next > End >>