
The Learnability of Quantum States
... Because real quantum experiments are subject to noise Would an efficient classical algorithm that simulated a noisy optics experiment still collapse the polynomial hierarchy? Main Result: Yes, assuming two plausible conjectures about permanents of random matrices (the “PCC” and the “PGC”) Particular ...
... Because real quantum experiments are subject to noise Would an efficient classical algorithm that simulated a noisy optics experiment still collapse the polynomial hierarchy? Main Result: Yes, assuming two plausible conjectures about permanents of random matrices (the “PCC” and the “PGC”) Particular ...
Quantum Grand Canonical Ensemble
... comes from the fact that you get a distinct wavefunction N1 !N2 ! · · · Nl ! times. A subsystem consists of Nj particles, with total energy Ej . It is described by a state vector |Ej , Nj , kj i, where kj are the other quantum numbers necessary to specify the state. The system consists of subsystems ...
... comes from the fact that you get a distinct wavefunction N1 !N2 ! · · · Nl ! times. A subsystem consists of Nj particles, with total energy Ej . It is described by a state vector |Ej , Nj , kj i, where kj are the other quantum numbers necessary to specify the state. The system consists of subsystems ...
Another version - Scott Aaronson
... Theorem: Suppose U implements (say) a computationallyuniversal, reversible cellular automaton. Then after t=exp(n) iterations, C(|t) is superpolynomial in n, unless something very unlikely happens with complexity classes (PSPACEPP/poly) Proof Sketch: I proved in 2004 that PP=PostBQP Suppose C(| ...
... Theorem: Suppose U implements (say) a computationallyuniversal, reversible cellular automaton. Then after t=exp(n) iterations, C(|t) is superpolynomial in n, unless something very unlikely happens with complexity classes (PSPACEPP/poly) Proof Sketch: I proved in 2004 that PP=PostBQP Suppose C(| ...
QM L-6
... In the case of SWE , wave function gives the information in terms of probabilities and not specific numbers. Therefore, instead of finding the average value of any term (for example position of particle x ), we find the expectation value of that.
Ni xi
...
... In the case of SWE , wave function gives the information in terms of probabilities and not specific numbers. Therefore, instead of finding the average value of any term (for example position of particle x ), we find the expectation value
QM_2_particles_ver2
... with the “pilot wave” which traveled ahead and behind the particle (faster than light), sensing the environment. ...
... with the “pilot wave” which traveled ahead and behind the particle (faster than light), sensing the environment. ...
Quantum Theory – Consciousness
... Einstein pursued this goal for the rest of his life, between 1935 and 1955, and even after his death the problem seemed worth the effort of many persons, mainly theorists and philosophers. But finally, Bell's theorem, published in 1964, proved once and for all that the problem could be decided by ex ...
... Einstein pursued this goal for the rest of his life, between 1935 and 1955, and even after his death the problem seemed worth the effort of many persons, mainly theorists and philosophers. But finally, Bell's theorem, published in 1964, proved once and for all that the problem could be decided by ex ...
Transcript of the Philosophical Implications of Quantum Mechanics
... now a mathematical theory in place that could model and partially predict quantum events which Heisenberg called Matrix Mechanics. The problem was that in incorporating the Uncertainty Principle it predicted several possible outcomes for an experiment in terms of probability, which while in accord w ...
... now a mathematical theory in place that could model and partially predict quantum events which Heisenberg called Matrix Mechanics. The problem was that in incorporating the Uncertainty Principle it predicted several possible outcomes for an experiment in terms of probability, which while in accord w ...
Physics 521: Quantum Mechanics (Dr. Adolfo Eguiluz) [.pdf]
... such as the hydrogen atom, which we will cover in detail). In Cohen-Tannoudji, Vol. 1, you will find many worked-out problems in wave mechanics. Let me know right away if you have any questions/anxieties, about this issue! ...
... such as the hydrogen atom, which we will cover in detail). In Cohen-Tannoudji, Vol. 1, you will find many worked-out problems in wave mechanics. Let me know right away if you have any questions/anxieties, about this issue! ...