The Future of Computer Science
... Set Equality: Given two efficiently-computable injective functions f,g:{0,1}n{0,1}p(n). Promised that Range(f) and Range(g) are either equal or disjoint. Decide which. In the “black-box” setting, this problem takes exp(n) time even with a quantum computer (a main result from my 2004 PhD thesis, the ...
... Set Equality: Given two efficiently-computable injective functions f,g:{0,1}n{0,1}p(n). Promised that Range(f) and Range(g) are either equal or disjoint. Decide which. In the “black-box” setting, this problem takes exp(n) time even with a quantum computer (a main result from my 2004 PhD thesis, the ...
Lecture 4
... What does that mean? There might be a deeper „classical“ theory that allows to eliminate the probabilistic predictions of quantum mechanics by referring to „hidden parameters“ The state 1/21/2 (|00i+|11i) on two spatially separated qubits exhibits „spooky actions at a distance“: when measured it beh ...
... What does that mean? There might be a deeper „classical“ theory that allows to eliminate the probabilistic predictions of quantum mechanics by referring to „hidden parameters“ The state 1/21/2 (|00i+|11i) on two spatially separated qubits exhibits „spooky actions at a distance“: when measured it beh ...
Conventions in relativity theory and quantum mechanics
... cases quite reasonable to define the interface as the location where some agent serving as the experimenter looses control of one-to-onenness. This is the point where ``the quantum turns classical.'' But from the previous discussion it should already be quite clear that any irreversibility in no way ...
... cases quite reasonable to define the interface as the location where some agent serving as the experimenter looses control of one-to-onenness. This is the point where ``the quantum turns classical.'' But from the previous discussion it should already be quite clear that any irreversibility in no way ...
DYNAMICS AND INFORMATION (Published by Uspekhi
... are reinforced by the dynamic chaos of the gas, and its behavior obeys the Boltzmann equation for the one-particle distribution function. In case of a quantum gas, the external triggering action, ampliéed by the quantum chaos, leads to `packetization' of the wave functions of gas atoms, endowing the ...
... are reinforced by the dynamic chaos of the gas, and its behavior obeys the Boltzmann equation for the one-particle distribution function. In case of a quantum gas, the external triggering action, ampliéed by the quantum chaos, leads to `packetization' of the wave functions of gas atoms, endowing the ...
Postulate 1
... requirement!) and square integrable. Both real and imaginary wave functions are encountered. Thus, if ψ(x) is imaginary, for example, eimx , where m is an integer, then we will need the complex conjugate wave function ψ*(x) = e-imx. ...
... requirement!) and square integrable. Both real and imaginary wave functions are encountered. Thus, if ψ(x) is imaginary, for example, eimx , where m is an integer, then we will need the complex conjugate wave function ψ*(x) = e-imx. ...
Non Ideal Measurements by David Albert (Philosophy, Columbia) and Barry Loewer
... measurement problem is that, if the laws of quantum mechanics (the linear laws of state evolution) are taken to characterize experiments (and measurements), then these laws predict that they do not have outcomes. The standard response to this is to exempt measurements from the linear laws and to in ...
... measurement problem is that, if the laws of quantum mechanics (the linear laws of state evolution) are taken to characterize experiments (and measurements), then these laws predict that they do not have outcomes. The standard response to this is to exempt measurements from the linear laws and to in ...
Quantum mechanics for Advaitins
... • Quantum theory is a theory of mathematical quantum probability waves that carry no energy or momentum and are themselves unobservable. • The theory is interpreted in terms of the probabilities of observations that can be predicted from the waves. • There are many interpretations but we still don’t ...
... • Quantum theory is a theory of mathematical quantum probability waves that carry no energy or momentum and are themselves unobservable. • The theory is interpreted in terms of the probabilities of observations that can be predicted from the waves. • There are many interpretations but we still don’t ...
Welcome to the world of
... • 1. A human hair is approximately 50 micrometers in diameter. Express this diameter in meters. • 2. A hydrogen atom has a diameter of about 10 nm. • Express this diameter in meters. • Express this diameter in millimeters. • Express this diameter in micrometers. ...
... • 1. A human hair is approximately 50 micrometers in diameter. Express this diameter in meters. • 2. A hydrogen atom has a diameter of about 10 nm. • Express this diameter in meters. • Express this diameter in millimeters. • Express this diameter in micrometers. ...
