Defining and Measuring Multi-partite Entanglement
... two partitions are defined. Using Schmidt decomposition, it is possible to write this state as a single sum over basis states from each partition, multiplied by their eigenvalue. ∑i√pi |u>A|u>B Since these basis vectors are orthonormal, the best the maximization process can do is match the two basis ...
... two partitions are defined. Using Schmidt decomposition, it is possible to write this state as a single sum over basis states from each partition, multiplied by their eigenvalue. ∑i√pi |u>A|u>B Since these basis vectors are orthonormal, the best the maximization process can do is match the two basis ...
Landau Levels
... These eigenfunctions form Landau levels. First examine the lowest Landau level wavefunctions (n = 0 according to this scheme). y00 has some zero-point kinetic energy (the spread of the Gaussian); y01 represents a cyclotron orbit that closes on itself after one cycle; y02 represents a cyclotron orbit ...
... These eigenfunctions form Landau levels. First examine the lowest Landau level wavefunctions (n = 0 according to this scheme). y00 has some zero-point kinetic energy (the spread of the Gaussian); y01 represents a cyclotron orbit that closes on itself after one cycle; y02 represents a cyclotron orbit ...
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 ...
QUANTUM INFORMATION, COMPUTATION AND FUNDAMENTAL
... Therefore, one can extract only one bit of information (log2 2 = 1) by a measurement! Moreover, after a measurement the state of the qubit is no longer the same. It has irreversibly changed to one of the two distinct states. This is a riddle of quntum information: even though an unknown qubit contai ...
... Therefore, one can extract only one bit of information (log2 2 = 1) by a measurement! Moreover, after a measurement the state of the qubit is no longer the same. It has irreversibly changed to one of the two distinct states. This is a riddle of quntum information: even though an unknown qubit contai ...
lec12c-Simon
... 2. Apply the theorem to get an element not in Y , update Y and the counter 3. Stop if the zero element is returned ...
... 2. Apply the theorem to get an element not in Y , update Y and the counter 3. Stop if the zero element is returned ...
CHEM 334 - Home
... There are two great computational traditions in quantum theory: Heisenberg's matrix mechanics and Schrödinger's wave mechanics. They are formally equivalent, but each has particular strengths in certain applications. Schrödinger's wave mechanics might be considered the default for chemists, but the ...
... There are two great computational traditions in quantum theory: Heisenberg's matrix mechanics and Schrödinger's wave mechanics. They are formally equivalent, but each has particular strengths in certain applications. Schrödinger's wave mechanics might be considered the default for chemists, but the ...
Atomic 1
... Magnetic quantum number for spin motions: The spin motion of an electron around its own axis also produces a magnetic field and z-component of the spin angular momentum is given as S z = ms ħ here ms is magnetic quantum number for spin motion and = ±1\2. ...
... Magnetic quantum number for spin motions: The spin motion of an electron around its own axis also produces a magnetic field and z-component of the spin angular momentum is given as S z = ms ħ here ms is magnetic quantum number for spin motion and = ±1\2. ...
Topological Quantum Matter
... This picture (which follows from the Heisenberg uncertainty principle) is completed by the Pauli exclusion principle, which says that no two electrons can be in the same state or “orbital” ...
... This picture (which follows from the Heisenberg uncertainty principle) is completed by the Pauli exclusion principle, which says that no two electrons can be in the same state or “orbital” ...
Ordered Semiconductor Quantum Dot Structures - Russian -
... e-mail: Valentina.Troncale@epfl.ch Semiconductor quantum dots (QDs) have attracted considerable interest because of their potential for application in experimental quantum information processing. In particular, the coupling of two QDs has been proposed as a means for generating entangled photons and ...
... e-mail: Valentina.Troncale@epfl.ch Semiconductor quantum dots (QDs) have attracted considerable interest because of their potential for application in experimental quantum information processing. In particular, the coupling of two QDs has been proposed as a means for generating entangled photons and ...
Quantum computing
Quantum computing studies theoretical computation systems (quantum computers) that make direct use of quantum-mechanical phenomena, such as superposition and entanglement, to perform operations on data. Quantum computers are different from digital computers based on transistors. Whereas digital computers require data to be encoded into binary digits (bits), each of which is always in one of two definite states (0 or 1), quantum computation uses quantum bits (qubits), which can be in superpositions of states. A quantum Turing machine is a theoretical model of such a computer, and is also known as the universal quantum computer. Quantum computers share theoretical similarities with non-deterministic and probabilistic computers. The field of quantum computing was initiated by the work of Yuri Manin in 1980, Richard Feynman in 1982, and David Deutsch in 1985. A quantum computer with spins as quantum bits was also formulated for use as a quantum space–time in 1968.As of 2015, the development of actual quantum computers is still in its infancy, but experiments have been carried out in which quantum computational operations were executed on a very small number of quantum bits. Both practical and theoretical research continues, and many national governments and military agencies are funding quantum computing research in an effort to develop quantum computers for civilian, business, trade, and national security purposes, such as cryptanalysis.Large-scale quantum computers will be able to solve certain problems much more quickly than any classical computers that use even the best currently known algorithms, like integer factorization using Shor's algorithm or the simulation of quantum many-body systems. There exist quantum algorithms, such as Simon's algorithm, that run faster than any possible probabilistic classical algorithm.Given sufficient computational resources, however, a classical computer could be made to simulate any quantum algorithm, as quantum computation does not violate the Church–Turing thesis.