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A Quantum Version of The Spectral Decomposition Theorem of
A Quantum Version of The Spectral Decomposition Theorem of

Quantum mechanical modeling of the CNOT (XOR) gate
Quantum mechanical modeling of the CNOT (XOR) gate

Quantum theory without measurement or state reduction problems
Quantum theory without measurement or state reduction problems

Holographic View of the Brain Memory Mechanism Based on
Holographic View of the Brain Memory Mechanism Based on

Cosmic quantum measurement - Proceedings of the Royal Society A
Cosmic quantum measurement - Proceedings of the Royal Society A

Application of Quantum Computing principles to Natural Language Processing
Application of Quantum Computing principles to Natural Language Processing

... The discovery of quantum mechanics has led to some radical changes in the theory of computation. A quantum theory of computing has come up and has been applied to give fascinating theoretical results for even classically unsolvable problems. With quantum computers being a part of the foreseeable fut ...
Angular momenta dynamics in magnetic and electric
Angular momenta dynamics in magnetic and electric

... with large angular-momentum quantum numbers (M  43 = = = 433,, say, in molecular physics, where the classical approach can obtain reasonably accurate results [1]. Classical equations for large angular momentum are often easier to solve. This makes it possible to treat a whole class of problems, whi ...
A quantum-information-theoretic complement to a general
A quantum-information-theoretic complement to a general

... witness the computer perform an infinity of tasks within a finite amount of the programmer’s own proper time. Since we are interested in the physical Church-Turing thesis, the questions before us are (i) whether GR permits Malament-Hogarth spacetimes such that a relativistic computer can be concrete ...
At what time does a quantum experiment have a result?
At what time does a quantum experiment have a result?

Quantum Channels, Kraus Operators, POVMs
Quantum Channels, Kraus Operators, POVMs

Quantum Relaxation after a Quench in Systems with Boundaries Ferenc Iglo´i *
Quantum Relaxation after a Quench in Systems with Boundaries Ferenc Iglo´i *

... have focused on bulk sites up to now, but all real systems have a finite extent and they are bounded by surfaces and the physical properties in the surface region are considerably different from those in the bulk [18]. Obviously an interesting question is whether the time and length scales character ...
The Indivisible Now: why time must be discrete. - Philsci
The Indivisible Now: why time must be discrete. - Philsci

... the individual events of statistical processes may not be 100% reversible7. Despite this reasoning, if we chose to insist that time is reversible, then a consequence of this would be that we insist that the only outcome of the second example8 is that the 45o polarized light will always give horizont ...
Quantum Biological Switch Based on Superradiance Transitions
Quantum Biological Switch Based on Superradiance Transitions

... (bacterio) chlorophylls, and (bacterio) pheophytins, generally called chromophores.26−33 While there exists much experimental data for calculating both the energy levels and the couplings between the chromophores, our aim here is to avoid nonessential technicalities which complicate the model and co ...
Steady-state quantum interference in resonance
Steady-state quantum interference in resonance

q - at www.arxiv.org.
q - at www.arxiv.org.

quantum number - Reseda High School
quantum number - Reseda High School

... If you are given GRAMS: Find molar mass using periodic table and write in the opposite corner. Write “1 mole” in the box above. Convert mole to number of atoms by: Then write “1 mole” in the opposite corner Write “6.02 x 1023 atoms” in the box above Solve If you are given # OF ATOMS ...
Evade the Heisenberg Uncertainty Principle
Evade the Heisenberg Uncertainty Principle

... The trick is to realize that the spin has not one but two pointing angles, one for the north-eastsouth-west direction, and the other for the elevation above the horizon. The ICFO team showed how to put nearly all of the uncertainty into the angle that is not measured by the instrument. In this way t ...
Second Lecture: Towards an implementation of surface hopping
Second Lecture: Towards an implementation of surface hopping

... • At each time, the dynamics is performed on one unique adiabatic state, Ei = Hii. • In the adiabatic representation, Ei(R), Ei, and hji are obtained with traditional quantum chemistry methods. ...
Preparation and measurement in quantum physics
Preparation and measurement in quantum physics

Quantum Computation by Adiabatic Evolution Edward Farhi, Jeffrey Goldstone Sam Gutmann
Quantum Computation by Adiabatic Evolution Edward Farhi, Jeffrey Goldstone Sam Gutmann

... We make no claims about the size of gmin for any problems other than the examples given in Section 4. We will give three examples where gmin is of order 1/np so the evolution time T is polynomial in n. Each of these problems has a regular structure that made calculating gmin possible. However, the r ...
Implementation of a Toffoli gate with superconducting circuits
Implementation of a Toffoli gate with superconducting circuits

... The basic idea of ‘hiding’ states by transforming them into noncomputational states to simplify the implementation of a Toffoli gate was theoretically proposed in refs. 20, 21 and has been experimentally implemented for linear optics and ion trap systems8,9. The implementation of the scheme of ref. ...
Million-Atom Pseudopotential Calculation of GX Mixing in GaAs AlAs
Million-Atom Pseudopotential Calculation of GX Mixing in GaAs AlAs

Quantum Level Structures and Nonlinear Classical Dynamics
Quantum Level Structures and Nonlinear Classical Dynamics

... Now that it is possible to measure (1, 2) or calculate (1, 3, 4) hundreds of highly excited molecular vibrational states for a given system, far from the normal mode regime, there is a clear need for some interpretive structure. Fortunately there are many cases in which the eigenvalues fall into pol ...
Quantum Entanglement and the Geometry of Spacetime
Quantum Entanglement and the Geometry of Spacetime

... definite state → uncertain outcomes for some measurements Example: | "i measurement of Sz definitely gives + 12 ~ measurement of Sx gives + 12 ~ or 12 ~ with equal probability When only certain kinds of measurements are allowed, a definite (pure) state will effectively be indefinite (mixed) Suppose ...
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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.
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