Shor`s Algorithm and the Quantum Fourier Transform
... is, it cannot be done in a number of steps which is polynomial in the length of the integer we’re trying to factor1 . The RSA cryptosystem, among others, relies on the presumed difficulty of this task. Classically, the fastest known algorithm is the General Number Field Sieve (GNFS) algorithm, which ...
... is, it cannot be done in a number of steps which is polynomial in the length of the integer we’re trying to factor1 . The RSA cryptosystem, among others, relies on the presumed difficulty of this task. Classically, the fastest known algorithm is the General Number Field Sieve (GNFS) algorithm, which ...
Teaching Modern Physics - IMSA Digital Commons
... more about what a measurement is? Not easily – an experiment needs a measurement, and we can’t take a measurement of a measurement We are asking about what happens before we measure it – can we ever know that? Does it even make sense to ask? ...
... more about what a measurement is? Not easily – an experiment needs a measurement, and we can’t take a measurement of a measurement We are asking about what happens before we measure it – can we ever know that? Does it even make sense to ask? ...
- IMSA Digital Commons
... more about what a measurement is? Not easily – an experiment needs a measurement, and we can’t take a measurement of a measurement We are asking about what happens before we measure it – can we ever know that? Does it even make sense to ask? ...
... more about what a measurement is? Not easily – an experiment needs a measurement, and we can’t take a measurement of a measurement We are asking about what happens before we measure it – can we ever know that? Does it even make sense to ask? ...
Operators in Quantum Mechanics
... For an observable with the corresponding operator we have the eigenvalue equation : n n n (i) The meassurement of the quantity represented by has as the o n l y outcome one of the values n n = 1, 2, 3 .... (ii) If the system is in a state described by n a meassurement of will ...
... For an observable with the corresponding operator we have the eigenvalue equation : n n n (i) The meassurement of the quantity represented by has as the o n l y outcome one of the values n n = 1, 2, 3 .... (ii) If the system is in a state described by n a meassurement of will ...
Superconducting loop quantum gravity and the cosmological constant
... Jacobson electring lines at their endpoints; these worldsheets, patched together at their edges, span the three-dimensional space, giving rise to the geometric sector which was lost in the free-field picture. Before quantizing the theory, we fixed the gravitational configuration to be a particular d ...
... Jacobson electring lines at their endpoints; these worldsheets, patched together at their edges, span the three-dimensional space, giving rise to the geometric sector which was lost in the free-field picture. Before quantizing the theory, we fixed the gravitational configuration to be a particular d ...
Why quantum gravity? - University of Oxford
... distance between points and they still have scalar curvature defined by the deficit angle: vertices of order 3 have R < 0, vertices of order 2 have R = 0 and vertices of order 1 have R > 0. The spectral dimension ds is a measure of how likely it is that a random walk returns to the point of origin. ...
... distance between points and they still have scalar curvature defined by the deficit angle: vertices of order 3 have R < 0, vertices of order 2 have R = 0 and vertices of order 1 have R > 0. The spectral dimension ds is a measure of how likely it is that a random walk returns to the point of origin. ...
51-54-Quantum Optics
... respectively per photon were chosen for the demonstration of qutrit entanglement and denoted as |0>, |1> and |2>, respectively. Their crosssection intensity distributions and their phase structure are shown. ...
... respectively per photon were chosen for the demonstration of qutrit entanglement and denoted as |0>, |1> and |2>, respectively. Their crosssection intensity distributions and their phase structure are shown. ...
Transition state theory and its extension to include quantum
... quantum mechanical transition state theory can be used to estimate rates, even sticking probability of molecules at surface (good agreement with wave packet propagation results). The harmonic approximation even gives good results in these ...
... quantum mechanical transition state theory can be used to estimate rates, even sticking probability of molecules at surface (good agreement with wave packet propagation results). The harmonic approximation even gives good results in these ...
N.M. Atakishiyev, S.M. Chumakov, A.L. Rivera y K.B. Wolf
... in phase space for a quasi-periodic motion, which leads to the SchrSdinger cat states [ 13,151. It is a “global phenomenon” since the quantum state spreads over the whole phase volume allowed by the conservation laws. It reveals itself usually at times longer than the fundamental period of the oscil ...
... in phase space for a quasi-periodic motion, which leads to the SchrSdinger cat states [ 13,151. It is a “global phenomenon” since the quantum state spreads over the whole phase volume allowed by the conservation laws. It reveals itself usually at times longer than the fundamental period of the oscil ...
Peter Heuer - Quantum Cryptography Using Single and Entangled
... characteristics. If the quantum key was sent using bunches of photons, Eve could simply measure one photon from each bunch to reconstruct the message allowing the rest of the photons to reach Bob in their original state, leaving no sign of her intervention. A stream of photons that are truly spatia ...
... characteristics. If the quantum key was sent using bunches of photons, Eve could simply measure one photon from each bunch to reconstruct the message allowing the rest of the photons to reach Bob in their original state, leaving no sign of her intervention. A stream of photons that are truly spatia ...
Paper
... Abstract: The internal quantum state (IQS) is a kind of a pilot-wave (in the Bohmian sense) attached to a macroscopic system and representing its potential field continuously reduced during its exhibition to the external world. This state is maintained as decoherence-free by applying error-correctio ...
... Abstract: The internal quantum state (IQS) is a kind of a pilot-wave (in the Bohmian sense) attached to a macroscopic system and representing its potential field continuously reduced during its exhibition to the external world. This state is maintained as decoherence-free by applying error-correctio ...
Quantum computing
Quantum computing studies theoretical computation systems (quantum computers) that make direct use of quantum-mechanical phenomena, such as superposition and entanglement, to perform operations on data. Quantum computers are different from digital computers based on transistors. Whereas digital computers require data to be encoded into binary digits (bits), each of which is always in one of two definite states (0 or 1), quantum computation uses quantum bits (qubits), which can be in superpositions of states. A quantum Turing machine is a theoretical model of such a computer, and is also known as the universal quantum computer. Quantum computers share theoretical similarities with non-deterministic and probabilistic computers. The field of quantum computing was initiated by the work of Yuri Manin in 1980, Richard Feynman in 1982, and David Deutsch in 1985. A quantum computer with spins as quantum bits was also formulated for use as a quantum space–time in 1968.As of 2015, the development of actual quantum computers is still in its infancy, but experiments have been carried out in which quantum computational operations were executed on a very small number of quantum bits. Both practical and theoretical research continues, and many national governments and military agencies are funding quantum computing research in an effort to develop quantum computers for civilian, business, trade, and national security purposes, such as cryptanalysis.Large-scale quantum computers will be able to solve certain problems much more quickly than any classical computers that use even the best currently known algorithms, like integer factorization using Shor's algorithm or the simulation of quantum many-body systems. There exist quantum algorithms, such as Simon's algorithm, that run faster than any possible probabilistic classical algorithm.Given sufficient computational resources, however, a classical computer could be made to simulate any quantum algorithm, as quantum computation does not violate the Church–Turing thesis.