Lecture 14: Computing Discrete Logarithms 1 Period finding
... thought that it is classically difficult to to construct K due to the discrete logarithm being hard to compute. While this remains an open question, what is clear is that being able to compute the discrete logarithm efficiently trivially breaks the system. The best known classical algorithm for comp ...
... thought that it is classically difficult to to construct K due to the discrete logarithm being hard to compute. While this remains an open question, what is clear is that being able to compute the discrete logarithm efficiently trivially breaks the system. The best known classical algorithm for comp ...
ptt-file - Parmenides Foundation
... Time through notion of Dynamical Moments. Can we get any insights into time through quantum theory? But there is no time operator! Compare and contrast classical mechanical time with ...
... Time through notion of Dynamical Moments. Can we get any insights into time through quantum theory? But there is no time operator! Compare and contrast classical mechanical time with ...
PPT - Henry Haselgrove`s Homepage
... where the Bn are N-fold tensor products of Pauli matrices with no more than two non-identity terms. ...
... where the Bn are N-fold tensor products of Pauli matrices with no more than two non-identity terms. ...
group5(AI_and_Mind)
... The microtubules consist of molecules of tubulin that can be in two different states depending on the presence or absence of an electron, a nice digital system. ...
... The microtubules consist of molecules of tubulin that can be in two different states depending on the presence or absence of an electron, a nice digital system. ...
Quantum Questions Inspire New Math
... can be seen as a probability amplitude for a string propagating in the Calabi–Yau space, where the sum-over-histories principle has been applied. A string can be thought to probe all possible curves of every possible degree at the same time and is thus a super-efficient “quantum calculator.” But a s ...
... can be seen as a probability amplitude for a string propagating in the Calabi–Yau space, where the sum-over-histories principle has been applied. A string can be thought to probe all possible curves of every possible degree at the same time and is thus a super-efficient “quantum calculator.” But a s ...
Lecture 5
... quantum algorithm in the black-box model can be used to solve it in polynomial-time A circuit computing the function f is substituted into the black-box ... ...
... quantum algorithm in the black-box model can be used to solve it in polynomial-time A circuit computing the function f is substituted into the black-box ... ...
Aug 29 - BYU Physics and Astronomy
... Introduction to Quantum mechanics Essential ideas 1) Uncertainty principle: Conjugates quantities of a particle (ex: position & momentum) can not be known simultaneously within a certain accuracy limit 2) Quantization: The measurement of a physical quantity in a confined system results in quanta (t ...
... Introduction to Quantum mechanics Essential ideas 1) Uncertainty principle: Conjugates quantities of a particle (ex: position & momentum) can not be known simultaneously within a certain accuracy limit 2) Quantization: The measurement of a physical quantity in a confined system results in quanta (t ...
a presentation of Michel from 2009
... It seems very likely that the (theoretical) success of error-correcting schemes is based on the implicit introduction of ideal elements, like exact |1 and |0 states, and other unrealistic assumptions. In other words, it seems that the math is detached from the physical reality The claim that o ...
... It seems very likely that the (theoretical) success of error-correcting schemes is based on the implicit introduction of ideal elements, like exact |1 and |0 states, and other unrealistic assumptions. In other words, it seems that the math is detached from the physical reality The claim that o ...
Document
... Why does the phase matter? (cont.) Using qubit A, the output is [(α+β)/√2]|0> + [(α-β)/√2]|1>, but using qubit B, the output is [(α-β)/√2]|0> + [(α+β)/√2]|1>. The only difference in the output is the sign of β in the coefficients. As a special illustrative case, set α = β = 1/√2. In this case, the ...
... Why does the phase matter? (cont.) Using qubit A, the output is [(α+β)/√2]|0> + [(α-β)/√2]|1>, but using qubit B, the output is [(α-β)/√2]|0> + [(α+β)/√2]|1>. The only difference in the output is the sign of β in the coefficients. As a special illustrative case, set α = β = 1/√2. In this case, the ...
Documentation
... One of the most important consequences that runnable quantum computers with a register of about 1 kq (1000 qubit) is that all current public key systems will be cracked!1 OK, this may last one or more decades from now, but quantum computation is a problem (as well as a solution, by the way, since it ...
... One of the most important consequences that runnable quantum computers with a register of about 1 kq (1000 qubit) is that all current public key systems will be cracked!1 OK, this may last one or more decades from now, but quantum computation is a problem (as well as a solution, by the way, since it ...
1 Two qubits - EECS: www
... paper, John Bell showed that properties of Bell (EPR) states were not merely fodder for a philosophical discussion, but had verifiable consequences: local hidden variables are not the answer. How does one rule out every possible hidden variable theory? Here’s how: we will consider an extravagant fra ...
... paper, John Bell showed that properties of Bell (EPR) states were not merely fodder for a philosophical discussion, but had verifiable consequences: local hidden variables are not the answer. How does one rule out every possible hidden variable theory? Here’s how: we will consider an extravagant fra ...
Your Paper`s Title Starts Here:
... Hence, it is too difficult to interpret the influence of quantum well on the structure electrophysical parameters. The cause of this is absence of theoretical model at present which allows to carry out precise quantitative estimation for influence of dimensional quantization on heteroepitaxial MBE M ...
... Hence, it is too difficult to interpret the influence of quantum well on the structure electrophysical parameters. The cause of this is absence of theoretical model at present which allows to carry out precise quantitative estimation for influence of dimensional quantization on heteroepitaxial MBE M ...
From Gravity to Consciousness
... force its inverted, real image exerts on an infinitesimal mass of given point size charge. The mass and electrical charge of object can be engineered so that strength of its inverted, real image is sufficient to vanish gravity effect at focal point relative to infinitesimal mass of point size charge ...
... force its inverted, real image exerts on an infinitesimal mass of given point size charge. The mass and electrical charge of object can be engineered so that strength of its inverted, real image is sufficient to vanish gravity effect at focal point relative to infinitesimal mass of point size charge ...
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.