The Future of Computer Science
... But if so, there’s a further question: is there any way to solve NP-complete problems in polynomial time, consistent with the laws of ...
... But if so, there’s a further question: is there any way to solve NP-complete problems in polynomial time, consistent with the laws of ...
Another version - Scott Aaronson
... A Few Other Things I’ve Worked On The limitations of quantum computers (e.g., for finding collisions in hash functions); the possibility of quantum-secure cryptography What’s the largest possible quantum speedup? (The Forrelation and k-fold Forrelation problems) Quantum computing and the black-hole ...
... A Few Other Things I’ve Worked On The limitations of quantum computers (e.g., for finding collisions in hash functions); the possibility of quantum-secure cryptography What’s the largest possible quantum speedup? (The Forrelation and k-fold Forrelation problems) Quantum computing and the black-hole ...
Quantum Statistical Response Functions
... (idealised) form: one starts by perturbing the system one wants to study by an external agent (such as a laserpulse) and after a certain time interval one probes the system by measuring one of its dynamical variables such as its polarisation (dipole moment). In other words the dynamical response of ...
... (idealised) form: one starts by perturbing the system one wants to study by an external agent (such as a laserpulse) and after a certain time interval one probes the system by measuring one of its dynamical variables such as its polarisation (dipole moment). In other words the dynamical response of ...
SOLUTIONS for Homework #4
... where ijk is the fully antisymmetric tensor which has the nonzero components only if all three indices are different, and these nonzero components are equal to 1 for the right-hand order of indices (123, 231, and 312), and -1 for the left-hand order (213, 321, and 132); as always in such cases, the ...
... where ijk is the fully antisymmetric tensor which has the nonzero components only if all three indices are different, and these nonzero components are equal to 1 for the right-hand order of indices (123, 231, and 312), and -1 for the left-hand order (213, 321, and 132); as always in such cases, the ...
Theoretical Nonlinear and Quantum Optics Ray
... Ray-Kuang Lee Department of Physics, National TsingHua University, Hsinchu, Taiwan Institute of Photonics Technologies, National TsingHua University, Hsinchu, Taiwan * [email protected] Counter-intuitive pictures of waves are predicted both in the classical and quantum worlds. In contrast to the ...
... Ray-Kuang Lee Department of Physics, National TsingHua University, Hsinchu, Taiwan Institute of Photonics Technologies, National TsingHua University, Hsinchu, Taiwan * [email protected] Counter-intuitive pictures of waves are predicted both in the classical and quantum worlds. In contrast to the ...
5.11 Harmonic Oscillator
... We didn’t discuss applications, but there are many. Scanning tunneling microscope. Quantum effects as integrated circuits shrink towards the quantum world! Your life will be impacted by quantum effects in a big way! Harmonic Oscillator – (how to solve the SE) – energy levels –zero point energy – qua ...
... We didn’t discuss applications, but there are many. Scanning tunneling microscope. Quantum effects as integrated circuits shrink towards the quantum world! Your life will be impacted by quantum effects in a big way! Harmonic Oscillator – (how to solve the SE) – energy levels –zero point energy – qua ...
Comment on Griffiths about locality, realism and Bell experiments
... Experiments in physics usually consist of getting information about physical systems in specific states. A particular state is obtained after an appropriate preparation and the information is usually got via measurments. To be general enough I will consider that the result of the measurement is stat ...
... Experiments in physics usually consist of getting information about physical systems in specific states. A particular state is obtained after an appropriate preparation and the information is usually got via measurments. To be general enough I will consider that the result of the measurement is stat ...
Quantum Dynamics as Generalized Conditional Probabilities
... trix ΓX|Y . (c) X and Y are the result of some common cause, described by a random variable Z. They may be observe r acelike separation from one another, provided the points where this happens are both in the forward lightcone of the p ...
... trix ΓX|Y . (c) X and Y are the result of some common cause, described by a random variable Z. They may be observe r acelike separation from one another, provided the points where this happens are both in the forward lightcone of the p ...
On the Quantum Correction For Thermodynamic Equilibrium
... the zero power of k is the only one, which occurs in classical theory. There is no term with the erst power, so that if one can develop a property in a power series with respect to k, the deviation from the classical theory goes at least with the second power of h in thermal equilibrium. One familia ...
... the zero power of k is the only one, which occurs in classical theory. There is no term with the erst power, so that if one can develop a property in a power series with respect to k, the deviation from the classical theory goes at least with the second power of h in thermal equilibrium. One familia ...
6. Quantum Mechanics II
... Operators and Measured Values In any measurement of the observable associated with an operator A, ˆ the only values that can ever be observed are the eigenvalues. Eigenvalues are the possible values of a in the Eigenvalue Equation: ...
... Operators and Measured Values In any measurement of the observable associated with an operator A, ˆ the only values that can ever be observed are the eigenvalues. Eigenvalues are the possible values of a in the Eigenvalue Equation: ...
