
Documentation
... relies on qubits: a qubit generalizes the concept of a bit since it may not only attain two values |0i and |1i, say, but also “superpositions” of them, i.e., vector sums like |0i + |1i or |0i − |1i. This is a radically new logical property, totally unknown in classical information processing. It ena ...
... relies on qubits: a qubit generalizes the concept of a bit since it may not only attain two values |0i and |1i, say, but also “superpositions” of them, i.e., vector sums like |0i + |1i or |0i − |1i. This is a radically new logical property, totally unknown in classical information processing. It ena ...
Towards quantum template matching
... Although at the end of step 6 the amplitude of |yi in the state vector is the ‘phase-only correlation’ at y, in step 7 we are only sampling the probability distribution. Although the probability of observing y = a is larger than the probability of observing any other y value, it is still relatively ...
... Although at the end of step 6 the amplitude of |yi in the state vector is the ‘phase-only correlation’ at y, in step 7 we are only sampling the probability distribution. Although the probability of observing y = a is larger than the probability of observing any other y value, it is still relatively ...
Powerpoint format
... 1. Pick random x < N. 2. Compute f = gcd(x,N); if f l, return f // f is a factor 3. Find the least r > 0 such that xr 1 (mod N). 4. Compute f1 = gcd(xr/2 – 1,N) ); if f1 l, return f1 // f1 is a factor 5. Compute f2 = gcd(xr/2 + 1,N); if f2 l, return f2 // f2 is a factor 6. Go to 1 and repeat ...
... 1. Pick random x < N. 2. Compute f = gcd(x,N); if f l, return f // f is a factor 3. Find the least r > 0 such that xr 1 (mod N). 4. Compute f1 = gcd(xr/2 – 1,N) ); if f1 l, return f1 // f1 is a factor 5. Compute f2 = gcd(xr/2 + 1,N); if f2 l, return f2 // f2 is a factor 6. Go to 1 and repeat ...
chapter 2 - Ali Katrib
... atoms to yield 1 molecule, and so on. It does not deal with masses or lengths…The same logic applies for humans. All relations and actions ,regardless of its kind, take place between individuals; numbers, not masses or other dimensions. 2. The relation between basic units of matter: Atoms and molec ...
... atoms to yield 1 molecule, and so on. It does not deal with masses or lengths…The same logic applies for humans. All relations and actions ,regardless of its kind, take place between individuals; numbers, not masses or other dimensions. 2. The relation between basic units of matter: Atoms and molec ...
Open quantum systems
... state |Ri and 50% chance of being in the state |Li • Measuring the probability that the photon is in the state |Ri repeatedly would give us a 50% probability in both cases • We can block the first photon using a polarizer but we can not block the other photon with any polarizer with 100% efficiency ...
... state |Ri and 50% chance of being in the state |Li • Measuring the probability that the photon is in the state |Ri repeatedly would give us a 50% probability in both cases • We can block the first photon using a polarizer but we can not block the other photon with any polarizer with 100% efficiency ...
Distillability of Inseparable Quantum Systems
... singlets. However, intuitively one feels that it should be possible to distill an arbitrary inseparable state. It involves a subtle problem of nonlocality of mixed states satisfying standard Bell inequalities, first investigated by Werner [8] and Popescu [9,10]. Werner has found a family of states wh ...
... singlets. However, intuitively one feels that it should be possible to distill an arbitrary inseparable state. It involves a subtle problem of nonlocality of mixed states satisfying standard Bell inequalities, first investigated by Werner [8] and Popescu [9,10]. Werner has found a family of states wh ...
THE ALMOST IMPOSSIBLE WORLDS IN QUANTUM INFORMATION
... The set is exactly equal to the sum of its elements The interactions between the elements are exactly zero The set is more than the sum of its elements The interactions between the elements are more than zero The sum of the elements is exactly zero and any element as well The set is exactly equal t ...
... The set is exactly equal to the sum of its elements The interactions between the elements are exactly zero The set is more than the sum of its elements The interactions between the elements are more than zero The sum of the elements is exactly zero and any element as well The set is exactly equal t ...
Slide 1
... 1) Find the equations of motion of the spin operators Sx (t), Sy (t), and Sz (t) in the presence of a Hamiltonian r r r given by H egS(t) B / 2 c. (B is magnetic field, e is electric charge, is particle mass, c is the speed of light, and g is a unitless constant.) Use the fact that Sx (t), ...
... 1) Find the equations of motion of the spin operators Sx (t), Sy (t), and Sz (t) in the presence of a Hamiltonian r r r given by H egS(t) B / 2 c. (B is magnetic field, e is electric charge, is particle mass, c is the speed of light, and g is a unitless constant.) Use the fact that Sx (t), ...
Violation of Bell`s inequalities in a quantum realistic framework
... Otherwise stated, whereas infinitely many questions can be asked, corresponding to all possible contexts, only a finite number N of mutually exclusive modalities can be obtained in any of them3 . An essential consequence is that it is impossible to get more details on a given system by combining sev ...
... Otherwise stated, whereas infinitely many questions can be asked, corresponding to all possible contexts, only a finite number N of mutually exclusive modalities can be obtained in any of them3 . An essential consequence is that it is impossible to get more details on a given system by combining sev ...
Measuring the quantum mechanical wave function
... probability is the fact that for certain quantum states it can take on negative values for some values of x and Px . In contrast, true probabilities must be positive. How do we ® nd the wave function once we know the Wigner function? Because the equation is a Fourier transform it has a unique invers ...
... probability is the fact that for certain quantum states it can take on negative values for some values of x and Px . In contrast, true probabilities must be positive. How do we ® nd the wave function once we know the Wigner function? Because the equation is a Fourier transform it has a unique invers ...