Zhang - Department of Computer Science and Engineering, CUHK
... • Recall that we have O(n1/2)-time quantum algorithm for any AND-OR-NOT formula • Now (roughly): thr(f) ≤ Q(f) ≤ n1/2 • This implies that formulas are learnable in time 2√n. (Matching the known lower bound.) *1: A. Klivans, R. Servedio, STOC’01; A. Klivans, R. Servedio, R. O’Donnell, FOCS’02 *2: O’D ...
... • Recall that we have O(n1/2)-time quantum algorithm for any AND-OR-NOT formula • Now (roughly): thr(f) ≤ Q(f) ≤ n1/2 • This implies that formulas are learnable in time 2√n. (Matching the known lower bound.) *1: A. Klivans, R. Servedio, STOC’01; A. Klivans, R. Servedio, R. O’Donnell, FOCS’02 *2: O’D ...
the original file
... stationary states have different time dependent phases corresponding to different Energy eigenvalues. These phase offsets become apparent when squaring the wavefunction thus preserving time dependency. 28 and 29.) When a wave function is a linear combination of stationary states then the position a ...
... stationary states have different time dependent phases corresponding to different Energy eigenvalues. These phase offsets become apparent when squaring the wavefunction thus preserving time dependency. 28 and 29.) When a wave function is a linear combination of stationary states then the position a ...
Chapter 12 Probability, Expectation Value and Uncertainty
... of the operator represents all the possible results that could be obtained if the associated physical observable were to be measured. The eigenstates of the operator are the states of the system for which the associated eigenvalue would be, with 100% certainty, the measured result, if the observable ...
... of the operator represents all the possible results that could be obtained if the associated physical observable were to be measured. The eigenstates of the operator are the states of the system for which the associated eigenvalue would be, with 100% certainty, the measured result, if the observable ...
presentation pdf - EMERGENT QUANTUM MECHANICS
... These are the LOCAL expressions for the energy-momentum of the particle. Conservation of energy is maintained through the quantum Hamilton-Jacobi equation. Similar relations hold for the Pauli and Dirac particles. ...
... These are the LOCAL expressions for the energy-momentum of the particle. Conservation of energy is maintained through the quantum Hamilton-Jacobi equation. Similar relations hold for the Pauli and Dirac particles. ...
electron orbits atomic spectra the Bohr atom
... R is a constant. Any good theory should be able to predict the value of R, with no empirical parameters. This is an empirical equation, which we would like to explain with the laws of Physics. We can't explain it with classical physics. ...
... R is a constant. Any good theory should be able to predict the value of R, with no empirical parameters. This is an empirical equation, which we would like to explain with the laws of Physics. We can't explain it with classical physics. ...
Quantum Criticality and Black Holes
... The quantum theory of a black hole in a 3+1dimensional negatively curved AdS universe is holographically represented by a CFT (the theory of a quantum critical point) in 2+1 dimensions ...
... The quantum theory of a black hole in a 3+1dimensional negatively curved AdS universe is holographically represented by a CFT (the theory of a quantum critical point) in 2+1 dimensions ...
A Relativistic, Causal Account of a Spin Measurement
... It is well known that the current employed by Dewdney et al. is inconsistent with that obtained from Dirac theory in the non-relativistic limit, the two differing by a term in the curl of the spin vector [3, 4]. However, the qualitative results of Dewdney et al. for the behaviour of the streamlines ...
... It is well known that the current employed by Dewdney et al. is inconsistent with that obtained from Dirac theory in the non-relativistic limit, the two differing by a term in the curl of the spin vector [3, 4]. However, the qualitative results of Dewdney et al. for the behaviour of the streamlines ...
Quantum strategies
... doesn’t flip the penny. Then if Q flips it an even number of times, Picard loses. Similarly, if Picard flips the penny, then if Q flips it only once, Picard loses. Thus PQ PENNY FLIP has no deterministic solution [5], no deterministic Nash equilibrium [11]: there is no pair of pure strategies, one f ...
... doesn’t flip the penny. Then if Q flips it an even number of times, Picard loses. Similarly, if Picard flips the penny, then if Q flips it only once, Picard loses. Thus PQ PENNY FLIP has no deterministic solution [5], no deterministic Nash equilibrium [11]: there is no pair of pure strategies, one f ...
Quantum Miracles and Immortality
... possibilities existing at the same time, called a 'superposition' of states. Thus, the universe as a whole, if it is taken to be a quantum mechanical object itself, is necessarily a plethora of many different 'worlds' or possible world histories. This is the 'Many Worlds Interpretation' due to Evere ...
... possibilities existing at the same time, called a 'superposition' of states. Thus, the universe as a whole, if it is taken to be a quantum mechanical object itself, is necessarily a plethora of many different 'worlds' or possible world histories. This is the 'Many Worlds Interpretation' due to Evere ...
8 - ijssst
... memory makes use of holding data in terms of qubits .i.e. 1 or 0 or critically a superposition of these. Qubits implementation for Q.C is represented by particles having two spin states i.e. “up” written as | 0> and “down” written as |1 >:). They can also be entwined with other qubits which results ...
... memory makes use of holding data in terms of qubits .i.e. 1 or 0 or critically a superposition of these. Qubits implementation for Q.C is represented by particles having two spin states i.e. “up” written as | 0> and “down” written as |1 >:). They can also be entwined with other qubits which results ...
- Philsci
... The central idea here is that just as the standard form of the dynamical laws imposes restrictions on the way mass values can be assigned, certain ‘standard’ ways of assigning position and time values will be singled out by the usual form of the physical laws. This observation will make it possible ...
... The central idea here is that just as the standard form of the dynamical laws imposes restrictions on the way mass values can be assigned, certain ‘standard’ ways of assigning position and time values will be singled out by the usual form of the physical laws. This observation will make it possible ...
Chapter 42
... An active participant in the early development of quantum mechanics Headed the Institute for Advanced Studies in Copenhagen Awarded the 1922 Nobel Prize in physics For structure of atoms and the radiation emanating from them ...
... An active participant in the early development of quantum mechanics Headed the Institute for Advanced Studies in Copenhagen Awarded the 1922 Nobel Prize in physics For structure of atoms and the radiation emanating from them ...
Quantum HPC Sweden
... much anticipated (but unknown) phase change to truly new paradigms/methodologies. The session will therefore also include presentations on architecture advances that may be enabled as a consequence of technology progress. We should not compare (potential) quantum computers to The focus of this se ...
... much anticipated (but unknown) phase change to truly new paradigms/methodologies. The session will therefore also include presentations on architecture advances that may be enabled as a consequence of technology progress. We should not compare (potential) quantum computers to The focus of this se ...